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  • 1995-1999  (169,012)
  • 1890-1899
  • 1995  (169,012)
Source
Material
Years
Year
Person/Organisation
Keywords
Language
  • 1
    Electronic Resource
    Electronic Resource
    A measurement of τ polarization in Z^0 decays (1992-8977)
    Amsterdam : Elsevier
    Physics Letters B 294 (1992), S. 466-478 
    Details
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0370-2693(92)91549-O
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Measurement of the average lifetime of b hadrons (1993-4325)
    Amsterdam : Elsevier
    Physics Letters B 317 (1993), S. 474-484 
    Details
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0370-2693(93)91027-K
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    Paper (German National Licenses)
    Fulltext
  • 3
    Book
    Book
    Computing : archives for informatics and numerical computation; Supplementum (1977-2003)
    Wien [u.a.] :Springer, ; 1.1977 - 16.2003; damit Ersch. eingest.
    Details
    Title: Computing : archives for informatics and numerical computation; Supplementum
    Publisher: Wien [u.a.] :Springer,
    Year of publication: 1977-2003
    Dates of Publication: 1.1977 - 16.2003; damit Ersch. eingest.
    Type of Medium: Book
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  • 4
    Journal/Serial
    Journal/Serial
    SIGBIO newsletter / (from 1969-2001)
    New York, NY :ACM, ; 1.1969 - 7.1975/76; N.S. 1.1976 - 21.2001,1; damit Ersch. eingest.
    Details
    Title: SIGBIO newsletter /
    Author: Association for Computing Machinery / Special Interest Group on Biomedical Computing
    Publisher: New York, NY :ACM,
    Year of publication: 1969-2001
    Dates of Publication: 1.1969 - 7.1975/76; N.S. 1.1976 - 21.2001,1; damit Ersch. eingest.
    ISSN: 0163-5697
    Type of Medium: Journal/Serial
    Language: Undetermined
    Parallel Title: Internetausg. ---〉:Biomedical computing
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  • 5
    Journal/Serial
    Journal/Serial
    ¬The¬ journal of logic programming (from 1984-2000)
    New York, NY :North-Holland, ; 1.1984 - 46.2000
    Details
    Title: ¬The¬ journal of logic programming
    Publisher: New York, NY :North-Holland,
    Year of publication: 1984-2000
    Dates of Publication: 1.1984 - 46.2000
    ISSN: 0743-1066
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Forts. ---〉:¬The¬ journal of logic and algebraic programming
    Parallel Title: Internetausg. ---〉:¬The¬ journal of logic and algebraic programming
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  • 6
    Journal/Serial
    Journal/Serial
    CWI quarterly (from 1988-1999)
    Amsterdam :CWI, ; 1.1988 - 12.1999; damit Ersch. eingest.
    Details
    Title: CWI quarterly
    Author: Centrum voor Wiskunde en Informatica 〈Amsterdam〉
    Publisher: Amsterdam :CWI,
    Year of publication: 1988-1999
    Dates of Publication: 1.1988 - 12.1999; damit Ersch. eingest.
    ISSN: 0168-826X , 0922-5366
    Type of Medium: Journal/Serial
    Language: Undetermined
    Former Title: Vorg. ---〉:Centrum voor Wiskunde en Informatica 〈Amsterdam〉: CWI newsletter
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  • 7
    Book
    Book
    Computer personnel : a quarterly publ. of the Special Interest Group on Computer Personnel Research, SIGCPR (1971-1999)
    New York, NY :ACM, ; Nachgewiesen 2.1971 - 20.1999,4; damit Ersch. eingest.
    Details
    Title: Computer personnel : a quarterly publ. of the Special Interest Group on Computer Personnel Research, SIGCPR
    Publisher: New York, NY :ACM,
    Year of publication: 1971-1999
    Dates of Publication: Nachgewiesen 2.1971 - 20.1999,4; damit Ersch. eingest.
    ISSN: 0160-2497
    Type of Medium: Book
    Parallel Title: Internetausg. ---〉:Computer personnel
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  • 8
    Journal/Serial
    Journal/Serial
    Computers in physics / (from 1987-1998)
    Woodbury, NY :AIP, ; 1.1987,1(Nov./Dez.); 2.1988 - 12.1998
    Details
    Title: Computers in physics /
    Contributer: American Institute of Physics
    Publisher: Woodbury, NY :AIP,
    Year of publication: 1987-1998
    Dates of Publication: 1.1987,1(Nov./Dez.); 2.1988 - 12.1998
    ISSN: 0894-1866
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Forts. ---〉:Computing in science & engineering
    URL: http://www.aip.org/cip/
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  • 9
    Journal/Serial
    Journal/Serial
    Computer networks and ISDN systems : the international journal of computer and telecommunications networking (from 1985-1998)
    Amsterdam [u.a.] :Elsevier [u.a.], ; 9.1985 - 30.1998
    Details
    Title: Computer networks and ISDN systems : the international journal of computer and telecommunications networking
    Publisher: Amsterdam [u.a.] :Elsevier [u.a.],
    Year of publication: 1985-1998
    Dates of Publication: 9.1985 - 30.1998
    ISSN: 0169-7552 , 0376-5075
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Vorg. u. Forts. ---〉:Computer networks
    Note: Computer networks for research in Europe
    Additional Information: In 14,1=15 von:Networkshop: Conference report
    Additional Information: 16,1/2=4; 17,4/5=5 von:European Networkshop: European Networkshop
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  • 10
    Journal/Serial
    Journal/Serial
    SIGART bulletin : a quarterly publ. of the Special Interest Group on Artificial Intelligence (from 1990-1998)
    New York, NY :ACM, ; 1.1990 - 9.1998
    Details
    Title: SIGART bulletin : a quarterly publ. of the Special Interest Group on Artificial Intelligence
    Author: Association for Computing Machinery / Special Interest Group on Artificial Intelligence
    Publisher: New York, NY :ACM,
    Year of publication: 1990-1998
    Dates of Publication: 1.1990 - 9.1998
    ISSN: 1053-4830
    Type of Medium: Journal/Serial
    Language: Undetermined
    Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Group on Artificial Intelligence: SIGART newsletter
    Subsequent Title: Forts. ---〉:Intelligence
    Parallel Title: Internetausg. ---〉:Artificial intelligence
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  • 11
    Journal/Serial
    Journal/Serial
    SIGNUM newsletter (from 1969-1998)
    New York, NY :ACM, ; 4.1969 - 33.1998,2; damit Ersch. eingest
    Details
    Title: SIGNUM newsletter
    Author: Association for Computing Machinery / Special Interest Group on Numerical Mathematics
    Publisher: New York, NY :ACM,
    Year of publication: 1969-1998
    Dates of Publication: 4.1969 - 33.1998,2; damit Ersch. eingest
    ISSN: 0163-5778
    Type of Medium: Journal/Serial
    Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Committee on Numerical Mathematics: SICNUM newsletter
    Additional Information: 16,3=3,2 von:Association for Computing Machinery / Technical Committee on Fortran: FORTEC forum
    Parallel Title: Internetausg. ---〉:Numerical mathematics
    URL: Nur Table of Contents.
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  • 12
    Journal/Serial
    Journal/Serial
    Unix review : the publication for the Unix community (from 1983-1998)
    San Francisco, Calif. :Miller Freeman, ; 1.1983 - 16.1998,3
    Details
    Title: Unix review : the publication for the Unix community
    Publisher: San Francisco, Calif. :Miller Freeman,
    Year of publication: 1983-1998
    Dates of Publication: 1.1983 - 16.1998,3
    ISSN: 0742-3136
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Forts. ---〉:Unix review's performance computing
    Parallel Title: Internetausg. ---〉:Unix review.com
    URL: Zugriff lizenzfrei
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  • 13
    Journal/Serial
    Journal/Serial
    LISP and symbolic computation : an internat. journal ; a forum for current and envolving symbolic computing, focusing on LISP and object-oriented programming (from 1988-1997)
    Dordrecht [u.a.] :Kluwer Acad. Publ., ; 1.1988 - 10.1997
    Details
    Title: LISP and symbolic computation : an internat. journal ; a forum for current and envolving symbolic computing, focusing on LISP and object-oriented programming
    Publisher: Dordrecht [u.a.] :Kluwer Acad. Publ.,
    Year of publication: 1988-1997
    Dates of Publication: 1.1988 - 10.1997
    ISSN: 0892-4635
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Forts. ---〉:Higher order and symbolic computation
    Parallel Title: Internetausg. ---〉:Higher-order and symbolic computation
    URL: Zugriff nur bis zu den Abstracts möglich.
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  • 14
    Book
    Book
    Online : erfolgreiches Informationsmanagement, ADI-Nachrichten, ÖVD ; Organ d. ADI - Anwenderverband Deutscher Informationsverarbeiter e.V (1973-1997)
    Bergheim :DATACOM-Zeitschriften-Verl., | Köln Müller -1993,9 ; 11.1973 - 14.1976; 19.1981 - 20.1982; 1983 - 1994; 32.1995 - 34.1997,10
    Details
    Title: Online : erfolgreiches Informationsmanagement, ADI-Nachrichten, ÖVD ; Organ d. ADI - Anwenderverband Deutscher Informationsverarbeiter e.V
    Contributer: Anwenderverband Deutscher Informationsverarbeiter
    Publisher: Bergheim :DATACOM-Zeitschriften-Verl., , Köln Müller -1993,9
    Year of publication: 1973-1997
    Dates of Publication: 11.1973 - 14.1976; 19.1981 - 20.1982; 1983 - 1994; 32.1995 - 34.1997,10
    ISSN: 0340-1545 , 0179-6623 , 0342-9393
    Type of Medium: Book
    Language: Undetermined
    Former Title: Vorg. ---〉:Zeitschrift für Datenverarbeitung
    Subsequent Title: 15.1977 - 18.1980 ---〉:ADL-Verband für Informationsverarbeitung: ADL-Nachrichten, Online
    Subsequent Title: Aufgeg. in ---〉:Information week
    Note: Später ohne Zählung
    Additional Information: Beil. ---〉:Drucker spezial
    Additional Information: Beil. ---〉:Online / special
    Additional Information: Darin ---〉:Anwenderverband Deutscher Informationsverarbeiter: ADI-Nachrichten, ÖVD
    Additional Information: Beil. ---〉:Pro info
    Additional Information: Beil. ---〉:Online-Info
    Additional Information: 1996 darin ---〉:Datacom-Special
    Parallel Title: 19.1981 auch in ---〉:Öffentliche Verwaltung und Datenverarbeitung
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  • 15
    Journal/Serial
    Journal/Serial
    Supercomputer : bimonthly magazine on supercomputing in the Netherlands (from 1984-1997)
    Amsterdam :Amsterdam Universities Computing Centre, ; Nr. 1.1984 - 69.1997; damit Ersch. eingest.
    Details
    Title: Supercomputer : bimonthly magazine on supercomputing in the Netherlands
    Publisher: Amsterdam :Amsterdam Universities Computing Centre,
    Year of publication: 1984-1997
    Dates of Publication: Nr. 1.1984 - 69.1997; damit Ersch. eingest.
    ISSN: 0168-7875
    Type of Medium: Journal/Serial
    Language: Undetermined
    Note: Teils auch mit Jg.-Zählung
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  • 16
    Journal/Serial
    Journal/Serial
    World Wide Web journal : W3J; a publication of the World Wide Web Consortium (from 1995-1997)
    Sebastopol, CA, ; 1.1995/96 - 2.1997,4; damit Ersch. eingest.
    Details
    Title: World Wide Web journal : W3J; a publication of the World Wide Web Consortium
    Publisher: Sebastopol, CA,
    Year of publication: 1995-1997
    Dates of Publication: 1.1995/96 - 2.1997,4; damit Ersch. eingest.
    ISSN: 1085-2301
    Type of Medium: Journal/Serial
    Language: Undetermined
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  • 17
    E-Resource
    E-Resource
    Software 〈Chichester〉 : practice & experience ; SP & E ; SP & E archive (1994-1997)
    Chichester [u.a.] :Wiley, ; 1/20.1971/90(1994) - 21/25.1991/95(1997); damit Ersch. eingest.
    Details
    Title: Software 〈Chichester〉 : practice & experience ; SP & E ; SP & E archive
    Publisher: Chichester [u.a.] :Wiley,
    Year of publication: 1994-1997
    Dates of Publication: 1/20.1971/90(1994) - 21/25.1991/95(1997); damit Ersch. eingest.
    ISSN: 0038-0644
    Type of Medium: Electronic Resource
    Language: Undetermined
    Additional Information: 1/20=3; 21/25=5 von:Software 〈Chichester〉 / Special
    Parallel Title: Druckausg. ---〉:Software 〈Chichester〉
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  • 18
    Journal/Serial
    Journal/Serial
    SIGICE bulletin : a monthly publication of the ACM Special Interest Group on Individual Computing Environments (from 1994-1997)
    New York, NY :ACM, ; 19.1993/94,3(1994) - 23.1997/98,2(1997); damit Ersch. eingest.
    Details
    Title: SIGICE bulletin : a monthly publication of the ACM Special Interest Group on Individual Computing Environments
    Author: Association for Computing Machinery / Special Interest Group on Individual Computing Environments
    Publisher: New York, NY :ACM,
    Year of publication: 1994-1997
    Dates of Publication: 19.1993/94,3(1994) - 23.1997/98,2(1997); damit Ersch. eingest.
    Type of Medium: Journal/Serial
    Language: Undetermined
    Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Group on Small and Personal Computing Systems and Applications: SIGSMALL - PC notes
    Parallel Title: Internetausg. ---〉:Association for Computing Machinery / Special Interest Group on Individual Computing Environments: ACM SIGICE bulletin
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  • 19
    Journal/Serial
    Journal/Serial
    ¬The¬ international journal of supercomputer applications and high performance computing (from 1987-1997)
    Thousand Oaks, Calif. :Sage Science Press, ; 1.1987 - 11.1997
    Details
    Title: ¬The¬ international journal of supercomputer applications and high performance computing
    Publisher: Thousand Oaks, Calif. :Sage Science Press,
    Year of publication: 1987-1997
    Dates of Publication: 1.1987 - 11.1997
    ISSN: 1078-3482 , 0890-2720
    Type of Medium: Journal/Serial
    Subsequent Title: Forts. ---〉:¬The¬ international journal of high performance computing applications
    Parallel Title: Internetausg. ---〉:¬The¬ international journal of high performance computing applications
    URL: Zugriff auf diese Zeitschrift für die Jahrgänge 3. 1989 - 11. 1997 innerhalb der ZIB Domain (IP Adressen: 130.73.*.*) möglich.
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  • 20
    Journal/Serial
    Journal/Serial
    Annals of numerical mathematics : journal edition (from 1994-1997)
    Basel :Baltzer, ; 1.1994 - 4.1997; damit Ersch. eingest
    Details
    Title: Annals of numerical mathematics : journal edition
    Publisher: Basel :Baltzer,
    Year of publication: 1994-1997
    Dates of Publication: 1.1994 - 4.1997; damit Ersch. eingest
    ISSN: 1021-2655
    Type of Medium: Journal/Serial
    Language: Undetermined
    Parallel Title: Internetausg. : Annals of numerical algorithms
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  • 21
    Journal/Serial
    Journal/Serial
    Unix mail : Europas erster Informationsdienst für Unix-Hersteller und -Anwender (from 1983-1996)
    München :Hanser, ; 1.1983 - 14.1996,6
    Details
    Title: Unix mail : Europas erster Informationsdienst für Unix-Hersteller und -Anwender
    Publisher: München :Hanser,
    Year of publication: 1983-1996
    Dates of Publication: 1.1983 - 14.1996,6
    ISSN: 0176-8654
    Type of Medium: Journal/Serial
    Language: Undetermined
    Subsequent Title: Forts. ---〉:¬Die¬ blauen Blätter
    Parallel Title: CD-ROM-Ausg. ---〉:Unix mail, die blauen Blätter
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  • 22
    Journal/Serial
    Journal/Serial
    Cray channels : a Cray Research, Inc. publication (from 1984-1996)
    Minneapolis, Minn. :Cray Research, Inc., ; Nachgewiesen 6.1984 - 18.1996,2; damit Ersch. eingest.
    Details
    Title: Cray channels : a Cray Research, Inc. publication
    Contributer: Cray Research, Inc. 〈Mendota Heights, Minn.〉
    Publisher: Minneapolis, Minn. :Cray Research, Inc.,
    Year of publication: 1984-1996
    Dates of Publication: Nachgewiesen 6.1984 - 18.1996,2; damit Ersch. eingest.
    Type of Medium: Journal/Serial
    Language: Undetermined
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  • 23
    Journal/Serial
    Journal/Serial
    ¬The¬ X resource : a practical journal of the X window system (from 1991-1996)
    Sebastopol, Calif. :O'Reilly, ; 0.1991[Probeh.]; Nr. 1.1992 - 17.1996; damit Ersch. eingest.
    Details
    Title: ¬The¬ X resource : a practical journal of the X window system
    Publisher: Sebastopol, Calif. :O'Reilly,
    Year of publication: 1991-1996
    Dates of Publication: 0.1991[Probeh.]; Nr. 1.1992 - 17.1996; damit Ersch. eingest.
    ISSN: 1058-5591
    Type of Medium: Journal/Serial
    Language: Undetermined
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  • 24
    facet.materialart.
    Unknown
    An Adaptive Hierarchical Approximation Method on the Sphere Using Axisymmetric Locally Supported Basis Functions (1995)
    Details
    Publication Date: 2014-02-26
    Description: The paper discusses the approximation of scattered data on the sphere which is one of the major tasks in geomathematics. Starting from the discretization of singular integrals on the sphere the authors devise a simple approximation method that employs locally supported spherical polynomials and does not require equidistributed grids. It is the basis for a hierarchical approximation algorithm using differently scaled basis functions, adaptivity and error control. The method is applied to two examples one of which is a digital terrain model of Australia.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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  • 25
    facet.materialart.
    Unknown
    Identities for Families of Orthogonal Polynomials and Special Functions (1995)
    Details
    Publication Date: 2015-06-01
    Description: In this article we present new results for families of orthogonal polynomials and special functions, that are determined by algorithmical approaches. In the first section, we present new results, especially for discrete families of orthogonal polynomials, obtained by an application of the celebrated Zeilberger algorithm. Next, we present algorithms for holonomic families $f(n,x)$ of special functions which possess a derivative rule. We call those families {\sl admissible}. A family $f(n,x)$ is holonomic if it satisfies a holonomic recurrence equation with respect to $n$, and a holonomic differential equation with respect to $x$, i.\ e. linear homogeneous equations with polynomial coefficients. The rather rigid property of admissibility has many interesting consequences, that can be used to generate and verify identities for these functions by linear algebra techniques. On the other hand, many families of special functions, in particular families of orthogonal polynomials, are admissible. We moreover present a method that generates the derivative rule from the holonomic representation of a holonomic family. % whenever one exists. As examples, we find new identities for the Jacobi polynomials and for the Whittaker functions, and for families of discrete orthogonal polynomials by the given approach. Finally, we present representations for the parameter derivatives of the Gegenbauer and the generalized Laguerre polynomials.
    Keywords: ddc:000
    Language: English
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  • 26
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    Programs for Applying Symmetries of PDEs (1995)
    Details
    Publication Date: 2014-02-26
    Description: In this paper the programs {\tt APPLYSYM}, {\tt QUASILINPDE} and {\tt DETRAFO} are described which aim at the utilization of infinitesimal symmetries of differential equations. The purpose of {\tt QUASILINPDE} is the general solution of quasilinear PDEs. This procedure is used by {\tt APPLYSYM} for the application of point symmetries for either \begin{itemize} \item calculating similarity variables to perform a point transformation which lowers the order of an ODE or effectively reduces the number of explicitly occuring independent variables in a PDE(-system) or for \item generalizing given special solutions of ODEs/PDEs with new constant parameters. \end{itemize} The program {\tt DETRAFO} performs arbitrary point- and contact transformations of ODEs/PDEs and is applied if similarity and symmetry variables have been found. The program {\tt APPLYSYM} is used in connection with the program {\tt LIEPDE} for formulating and solving the conditions for point- and contact symmetries which is described in LIEPDE(1992). The actual problem solving is done in all these programs through a call to the package {\tt CRACK} for solving overdetermined PDE-systems.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 27
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    Simulation und Optimierung einer PC-Fertigung unter Echtzeitbedingungen (1995)
    Details
    Publication Date: 2014-02-26
    Description: Die Business Unit PC in Augsburg ist die zentrale Produktionsstätte der Siemens--Nixdorf Informationssysteme (SNI) AG für Personal Computer sowie für einige Periphärgeräte. Das Werk, entworfen nach modernen CIM/CAI--Konzepten (Computer Integrated Manufacturing/ Computer Aided Industry), wurde 1987 errichtet. Bald zeigte sich jedoch, daß es für ein zu geringes Produktionsvolumen ausgelegt war und einige Komponenten des Systems Engpässe im Produktionsbetrieb darstellen. Das Management suchte nach Möglichkeiten, den Produktionsfluß zu verbessern, ohne teure technische Änderungen am System vornehmen zu müssen. Eine Forschungsgruppe des Konrad--Zuse--Zentrums für Informationstechnik (die ehemals an der Universität Augsburg ansässig war) analysierte, unterstützt von einigen Studenten und Ingenieuren der SNI, den Produktionsfluß und lokalisierte Schwachstellen. Basierend auf diesen Erkenntnissen wurden mathematische Fragestellungen erarbeitet und auf mathematischen Optimierungsverfahren basierende Softwarepakete entwickelt, die jetzt teilweise bei SNI im Einsatz sind. Im folgenden werden einige dieser Fragestellungen, deren Modellierung und mathematische Behandlung beschrieben. Einige der Ansätze, die hier dargestellt werden sollen, sind teilweise schon in Grötschel [Grö92] angesprochen worden.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 28
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    Spirals in Scalar Reaction-Diffusion Equations (1995)
    Details
    Publication Date: 2014-02-26
    Description: Spiral-like patterns are an often observed phenomenon in chemical experiments such as the Belousov-Zhabotinskii reaction. The talk is concerned with a new PDE model whose solutions have the form of rotating spirals. In contrast to previous approaches it is based on a {\em scalar\/} reaction diffusion equation defined on a disk. A particular choice of boundary conditions leads to a non-selfadjoint operator which permits non-trivial dynamics. We study this equation using a combination of equivariant bifurcation theory and numerical simulations. The latter involves the direct simulation of the time dependent system as well as the computation of rotating waves and their stability.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 29
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    A Pseudospectral Chebychev method for the 2D Wave Equation with Domain Stretching and Absorbing Boundary Conditions (1995)
    Details
    Publication Date: 2014-02-26
    Description: In this paper we develop a method for the simulation of wave propagation on artificially bounded domains. The acoustic wave equation is solved at all points away from the boundaries by a pseudospectral Chebychev method. Absorption at the boundaries is obtained by applying one-way wave equations at the boundaries, without the use of damping layers. The theoretical reflection coefficient for the method is compared to theoretical estimates of reflection coefficients for a Fourier model of the problem. These estimates are confirmed by numerical results. Modification of the method by a transformation of the grid to allow for better resolution at the center of the grid reduces the maximum eigenvalues of the differential operator. Consequently, for stability the maximum timestep is $O(1/N)$ as compared to $O(1/N^2)$ for the standard Chebychev method. Therefore, the Chebychev method can be implemented with efficiency comparable to that of the Fourier method. Moreover, numerical results presented demonstrate the superior performance of the new method.
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    0/1-Integer Programming: Optimization and Augmentation are Equivalent (1995)
    Details
    Publication Date: 2014-02-26
    Description: {\def\xnew{x^{\mbox{\tiny new}}}\def\Z{{{\rm Z}\!\! Z}}For every fixed set ${\cal F}\subseteq\{0,1\}^n$ the following problems are strongly polynomial time equivalent: given a feasible point $x\in\cal F$ and a linear objective function $c\in\Z^n$, \begin{itemize} \item find a feasible point $x^*\in\cal F$ that maximizes $cx$ (Optimization), \item find a feasible point $\xnew\in\cal F$ with $c\xnew〉cx$ (Augmentation), and \item find a feasible point $\xnew\in\cal F$ with $c\xnew〉cx$ such that $\xnew-x$ is ``irreducible''\\(Irreducible Augmentation). \end{itemize} This generalizes results and techniques that are well known for $0/1$--integer programming problems that arise from various classes of combinatorial optimization problems.}
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    Testing for Sn-Symmetry with a Recursive Detective (1995)
    Details
    Publication Date: 2014-02-26
    Description: In the recent years symmetric chaos has been studied intensively. One knows which symmetries are admissible as the symmetry of an attractor and which transitions are possible. The numeric has been developed using equivariant functions for detection of symmetry and augmented systems for determination of transition points. In this paper we look at this from a sophisticated group theoretic point of view and from the view of scientific computing, i.e. efficient evaluation of detectives is an important point. The constructed detectives are based on Young's seminormal form for $S_n$. An application completes the paper.
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    Efficient Computation of Orthogonal Polynomials in Computer Algebra (1995)
    Details
    Publication Date: 2015-06-01
    Description: Orthogonal polynomials %like the Chebyshev polynomials can be calculated by computation of determinants, by the use of generating functions, in terms of Rodrigues formulas, by iterating recurrence equations, calculating the polynomial solutions of differential equations, through closed form representations and by other means. In this article, we give an overview about the efficiency of the above methods in Maple, Mathematica, and REDUCE. As a noncommercial package we include the MuPAD system.
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    Enhanced long-term simultation of Hamiltonian systems containing a strong non-convex potential (1995)
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    Publication Date: 2014-02-26
    Description: Many physical systems exhibit rapid motion coupled to a slowly varying motion. Often the rapid motion is associated with a stiff contribution in the potential energy function. In this context, the situation typically considered in the literature is the one with a strictly convex potential. Under some technical assumptions, one can then show that the slow motion is reproduced by a properly constrained system. In this paper we are concerned with a different situation: Often different time-scales can be found because of many local minima and barrier crossing between these minima. We suggest here to replace the detailed motion in the minima and the local barrier crossings by a statistical model which is then coupled to the slow equations of motion over long periods of time. This leads to Langevin type equations of motion subject to an appropriate time transformation.
    Keywords: ddc:000
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    Test sets and inequalities for integer programs: extended abstract (1995)
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    Publication Date: 2014-02-26
    Description: This paper presents some connections between test sets and valid inequalities of integer programs. The reason for establishing such relationships is the hope that information (even partial) on one of these objects can be used to get information on the other and vice versa. We approach this study from two directions: On the one hand we examine the geometric process by which the secondary polytope associated with a matrix $A$ transforms to the state polytope as we pass from linear programs that have $A$ as coefficient matrix to the associated integer programs. The second direction establishes the notion of classes of augmentation vectors parallel to the well known concept of classes of facet defining inequalities for integer programs. We show how certain inequalities for integer programs can be derived from test sets for these programs.
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    An Explicit and Symplectic Integrator for Quantum-Classical Molecular Dynamics (1995)
    Details
    Publication Date: 2014-02-26
    Description: This paper presents an explicit and symplectic integrator called PICKABACK for quantum-classical molecular dynamics. This integration scheme is time reversible and unitary in the quantum part. We use the Lie formalism in order to construct a formal evolution operator which then is split using the Strang splitting yielding the symplectic discretization PICHABACK. Finally the new method is compared with a hybrid method in application to two examples: a collinear collision with a quantum oscillator and additionally a photodissociation process of a collinear ArHCI-molecule.
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    Smoothed Molecular Dynamics for Thermally Embedded Systems (1995)
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    Publication Date: 2014-02-26
    Description: This paper makes use of statistical mechanics in order to construct effective potentials for Molecular Dynamics for systems with nonstationary thermal embedding. The usual approach requires the computation of a statistical ensemble of trajectories. In the context of the new model the evaluation of only one single trajectory is sufficient for the determination of all interesting quantities, which leads to an enormous reduction of computational effort. This single trajectory is the solution to a corrected Hamiltonian system with a new potential $\tilde{V}$. It turns out that $\tilde{V}$ can be defined as spatial average of the original potential $V$. Therefore, the Hamiltonian dynamics defined by $\tilde{V}$ is smoother than that effected by $V$, i.e. a numerical integration of its evolution in time allows larger stepsizes. Thus, the presented approach introduces a Molecular Dynamics with smoothed trajectories originating from spatial averaging. This is deeply connected to time--averaging in Molecular Dynamics. These two types of {\em smoothed Molecular Dynamics} share advantages (gain in efficiency, reduction of error amplification, increased stability) and problems (necessity of closing relations and adaptive control schemes) which will be explained in detail.
    Keywords: ddc:000
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    A Free Energy Approach to the Torsion Dynamics of Macromolecules (1995)
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    Publication Date: 2014-02-26
    Description: Based on the concept of free energy, we give a Hamiltonian formulation for the torsion dynamics of macromolecules. The appropriate reaction coordinates for the free energy calculations are defined in terms of soft constraints as introduced in Brooks, B.R., Zhou, J., and Reich, S., Elastic molecular dynamics with flexible constraints, in preparation and Reich, S., Smoothed Dynamics of Highly Oscillatory Hamiltonian Systems, Physica D, to appear, 1995. We consider a few simplifications that allow one to calculate the free energy analytically and to write the corresponding equations of motion as a constrained Hamiltonian system. We also discuss a possible stochastic embedding of the reduced dynamics by means of a generalized Langevin approach.
    Keywords: ddc:000
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    Discontinuous Optimization Problems in Stochastic Integer Programming (1995)
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    Publication Date: 2014-02-26
    Description: Integer stochastic linear programming is considered from the viewpoint of discontinuous optimization. After reviewing solution approaches via mollifier subgradients and decomposition we outline how to base a solution method on efficient pointwise calculation of the objective employing computer algebra.
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    Adaptive h-p approximation procedures, graded meshes and anisotropic refinement for Numerical Quadrature (1995)
    Details
    Publication Date: 2021-03-19
    Description: A set of adaptive algorithms for quadrature on multi-dimensional polyhedral domains is presented. Several kinds of refinement are discussed, covering local improvement of quadrature order and splitting the domain into sub-domains, resulting in isotropic, graded or anisotropic grids. The algorithms are pure local heuristics using no a priori knowledge or tuning parameters. This approach was motivated by results from finite element theory for optimal approximation results. Numerical experiments show the optimality of pure local greedy-like algorithms for singularity-type functions typically occurring in finite element computations.
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    Discrete Mathematics and Rechnender Raum (Computing Space) -Part 1-. Cellular Structured Space (Rechnender Raum) and Physical Phenomena -Part 2-. (1995)
    Details
    Publication Date: 2014-02-26
    Description: The first part of the report contains a lecture presented at ``Scientific Computing in der Theoretischen Physik'', a workshop organized by the DMV-Fachgruppe Scientific Computing in cooperation with the GAMM-Fachauschuß Scientific Computing at Freie Universit{ä}t Berlin in March 1994. To complete this lecture, a slightly modified version of TR 93-12 is appended.
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    Visualization and Mathematics. International Workshop (1995)
    Details
    Publication Date: 2020-12-15
    Description: International Workshop with support of the Deutsche Forschungsgemeinschaft (DFG) and Max-Planck-Gesellschaft (MPG) Berlin (Dahlem), Germany, May 30 - June 2, 1995
    Keywords: ddc:000
    Language: English
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    REDUCE Packages on Power Series, Z-Transformation, Residues and Trigonometric Simplification (1995)
    Details
    Publication Date: 2015-06-01
    Description: In this report, we present a collection of new REDUCE packages that recently have been developed. These are the packages {\tt FPS}, {\tt ZTRANS}, {\tt RESIDUE} and {\tt TRIGSIMP} on the following topics: \begin{itemize} \item[] FPS Calculation of differential equations and formal power series representations, in particular for orthogonal polynomials and special functions of the hypergeometric type. \item[] ZTRANS Calculation of the Z-Transformation and its inverse. % to be used for the solution of linear recurrence equations. \item[] RESIDUE Calculation of residues of meromorphic functions. \item[] TRIGSIMP Simplification of expressions involving trigonometric and hyperbolic functions. \end{itemize} % These packages can be obtained via anonymous {\tt ftp} from % {\tt } in the directories {\tt ..}, ) For each of these packages, a description in form of a \LaTeX\ file is distributed together with the package. These documentations are collected here. In a final chapter, we show how to solve some difficult problems with these packages, and how they usefully can be combined.
    Keywords: ddc:000
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    Wissenschaftliche Kommunikation am Wendepunkt - Bibliotheken im Zeitalter globaler elektronischer Netze - (1995)
    Details
    Publication Date: 2014-02-26
    Description: Durch extrem steigende Preise für traditionelle wissenschaftliche Zeitschriften bei gleichzeitiger Stagnation der Bibliotheksetats an den Hochschulen und bei weltweit weiterhin anwachsenden Forschungsleistungen ist die adäquate Versorgung der Wissenschaften mit relevanter Literatur gefährdet. Dokumentenliefersysteme werden vielerorts als Lösung dieser ``Bibliothekskrise'' propagiert. Dieser Weg ist für den derzeitigen Literaturversorgungsmarkt sinnvoll, aber er bietet keine langfristig stabile Lösung. Wenn die Grundversorgung der Bibliotheken weiter schrumpft, wird Dokumentenlieferung in der zur Zeit üblichen bzw. geplanten Form die Kosten nur noch zusätzlich in die Höhe treiben. Wir plädieren in diesem Aufsatz für einen grundsätzlich neuen Ansatz. Wir sind der Meinung, da\ss{} einzig der Übergang auf elektronische Medien eine bezahlbare, umfassende und benutzerfreundliche Versorgung der Wissenschaftler mit Literatur sichern kann. Wir zeigen -- unter anderem anhand elektronischer Zeitschriften -- wie zum Beispiel durch Kooperation von Bibliotheken mit Fachbereichen und wissenschaftlichen Gesellschaften neue Wege der Informationsversorgung beschritten werden können. Dieser Vorschlag einer neuen Organisation des wissenschaftlichen Publikationswesen erfordert Umdenken in vielen Bereichen. Neue Organisationsformen sind erforderlich, Rechte müssen anders verteilt, Aufgaben auf andere Schultern geladen werden. Die Bibliotheken werden besonders betroffen sein. Aber für sie ist die konsequente Nutzung der sich rasch ausbreitenden Informationstechnik (darunter verstehen wir u. a. globale elektronische Netze, leistungsfähige Rechner, kostengünstige Speichermedien, benutzerfreundliche Such- und Retrieval-Systeme, Entwicklung weltweit akzeptierter Datenformate) eine wirkliche und möglicherweise die einzige Chance, ihrem Auftrag zur umfassenden Versorgung der Wissenschaften mit Literatur zu gesamtwirtschaftlich niedrigen Kosten weiterhin nachzukommen. Au\ss{}erdem bietet die Bereitstellung und Archivierung wissenschaftlicher Literatur auf elektronischem Wege bedeutende Vorteile gegenüber der traditionellen Dokumentation auf Papier, die im übrigen, falls erwünscht, weiterhin betrieben werden kann.
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    Language: German
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    Aufbau des Berliner Breitbandnetzes für die Wissenschaft (1995)
    Details
    Publication Date: 2014-02-26
    Description: Seit 1991 verfolgt die Berliner Wissenschaft verstärkt das Ziel, ihre Einrichtungen untereinander breitbandig mit Transferraten oberhalb von 34 Mb/s in Glasfasertechnik zu vernetzen. Im ersten Halbjahr 1995 ist es gelungen, die erste Stufe des Berliner Breitbandnetzes für die Wissenschaft ({\it Berlin Research Area Information Network - BRAIN}) aufzubauen. Dieser Bericht beschreibt die verschiedenen Phasen der Vernetzung der Wissenschaftseinrichtungen Berlins von den Anfängen im Jahre 1975 über die Planungen zum Breitbandnetz ab 1991 und die Realisierungsschritte durch die erfolgreiche Zusammenarbeit mit dem Landesamt für Informationstechnik Berlin (LIT) insbesondere bei der Verwendung von Glasfaserleitungen des Landes. Weiterhin werden der Aufbau des Berlin Regional Testbed in seiner Realisierung einschliesslich seiner Anwendungsprojekte mit Stand Juni 1995 und sodann die Pläne der Berliner Wissenschaftseinrichtungen für die zukünftige breitbandige Vernetzung einer Vielzahl von Standorten als allumfassendes Berlin Research Area Information Network dargestellt.
    Keywords: ddc:000
    Language: German
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    KASKADE 3.0 - An Object Oriented Adaptive Finite Element Code (1995)
    Details
    Publication Date: 2019-05-10
    Description: KASKADE 3.0 was developed for the solution of partial differential equations in one, two, or three space dimensions. Its object-oriented implementation concept is based on the programming language C++$\,$.~Adaptive finite element techniques are employed to provide solution procedures of optimal computational complexity. This implies a posteriori error estimation, local mesh refinement and multilevel preconditioning. The program was designed both as a platform for further developments of adaptive multilevel codes and as a tool to tackle practical problems. Up to now we have implemented scalar problem types like stationary or transient heat conduction. The latter one is solved with the Rothe method, enabling adaptivity both in space and time. Some nonlinear phenomena like obstacle problems or two-phase Stefan problems are incorporated as well. Extensions to vector-valued functions and complex arithmetic are provided. %Such free boundary problems ... We have implemented several iterative solvers for both symmetric and unsymmetric systems together with multiplicative and additive multilevel preconditioners. Systems arising from the nonlinear problems can be solved with lately developed monotone multigrid methods. %An object-oriented concept was chosen for KASKADE~3.0, based on the programming %language C++$\,$. This should provide the desired extensibilty and clearly %reflect the structure of the code. %A direct sparse matrix solver (Harwell MA28) is included.
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    Wissenschaftliche Information am Wendepunkt? Zwänge, Krisen und Chancen aus Sicht der Mathematik (1995)
    Details
    Publication Date: 2014-02-26
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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    Aufbau elektronischer Informations- und Kommunikationsstrukturen (1995)
    Details
    Publication Date: 2014-02-26
    Description: Die vorliegende Arbeit ist die (z.T.~wesentlich) erweiterte Fassung eines Vortrages auf dem Deutschen Dokumentartag im September 1995 an der Fachhochschule Potsdam. Unser Ziel ist eine Bestandsaufnahme der gegenwärtigen Entwicklungen auf dem Gebiet der elektronischen Information und Kommunikation. Wir diskutieren Chancen und Risiken, beleuchten gesellschaftliche Rahmenbedingungen - vor allem im Vergleich mit den Vereinigten Staaten von Amerika - und skizzieren Aufgaben im Bereich von Forschung, Staat und Wirtschaft, die unserer Meinung nach noch zu bewältigen sind. Wir führen insbesondere in Gebiete ein, die vermutlich in naher Zukunft die Landschaft des Dokumentierens und Archivierens wesentlich verändern werden. Wir benutzen dabei häufig Beispiele und Modellvorstellungen aus der Mathematik, unserem eigenen Fachgebiet, die u.a. zeigen, wie Elemente des Informierens, Dokumentierens und Archivierens durch die neuen Technologien der elektronischen Datenverarbeitung und Kommunikation ineinander flie\"sen. Mehr Leistung kann mit geringeren Kosten erzielt werden. Wir schliessen mit einer Auflistung von neuen Perspektiven und Möglichkeiten zum Handeln in diesem Bereich.
    Keywords: ddc:000
    Language: German
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    KASKADE 3.0 User's Guide (1995)
    Details
    Publication Date: 2019-05-10
    Description: KASKADE 3.x was developed for the solution of partial differential equations in one, two, or three space dimensions. Its object-oriented implementation concept is based on the programming language C++$\,$.~Adaptive finite element techniques are employed to provide solution procedures of optimal computational complexity. This implies a posteriori error estimation, local mesh refinement and multilevel preconditioning. The program was designed both as a platform for further developments of adaptive multilevel codes and as a tool to tackle practical problems. Up to now we have implemented scalar problem types like stationary or transient heat conduction. The latter one is solved with the Rothe method, enabling adaptivity both in space and time. Some nonlinear phenomena like obstacle problems or two-phase Stefan problems are incorporated as well. Extensions to vector-valued functions and complex arithmetic are provided. This report helps to work with KASKADE Especially we \begin{itemize} \setlength{\parskip}{0ex} \item [{\bf --}] study a set of examples, \item [{\bf --}] explain how to define a user's problem and \item [{\bf --}] introduce a graphical user interface. \end{itemize} We are extending this guide continuously. The latest version is available by network.
    Keywords: ddc:000
    Language: English
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    Design-Überlegungen für ein Verteiltes Informationssystem für die Mathematik in Deutschland (1995)
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    Publication Date: 2014-02-26
    Description: {\begin{footnotesize} Dieser Artikel beschreibt die ersten Schritte auf dem Wege zu einem Verteilten Informationssystem für die Mathematik, das von der ``Deutschen Mathematiker-Vereinigung'' (DMV) vorbereitet wird. Die Darstellung erfolgt aus zwei unterschiedlichen Perspektiven. Der erste Teil soll vor allem Lesern, die an der Motivation des Vorhabens und den organisatorischen Rahmenbedingungen interessiert sind, einen Zugang zu den zugrundeliegenden technischen Ideen bieten. Er skizziert zunächst die wissenschaftliche Zielsetzung des geplanten Vorhabens. Dann diskutiert er das Verteilte Informationssystem als Kombination aus einem elektronischen Nachrichtensystem (auf der Basis von E-mail), einem globalen Hypertextsystem (das die Informationsangebote der Partner des Projekts miteinander vernetzt) und einer verteilten, objektorientierten Datenbank (mit Interfaces zu den bereits genannten Komponenten). Dieser Teil schliesst mit einer knappen Betrachtung der Verhältnisse (auch der Chancen, Kosten einzusparen), die beim Übergang von traditionellen zu elektronischen Publikationsformen zu erwarten sind. Er führt insbesondere neue Möglichkeiten an, das geplante System auch für Zwecke des ``Zentralblatt für Mathematik'' einzusetzen. Der zweite Teil richtet sich an den eher technisch interessierten Leser. Er diskutiert einen ersten Vorschlag zur Strukturierung der bei den Partnern verteilt vorliegenden Informationsangebote -- vorwiegend aus Nutzersicht, d.h. möglichst unabhängig von den Idiosynkrasien der heute im Internet gegebenen Informationssysteme. Er enthält die technischen Kerngedanken zur Realisierung einer homogenen Informationsinfrastruktur bei den Partnern, die ein verteiltes und gleichzeitig hierachisches Retrieval in den Informationsangeboten der Mathematik in Deutschland ermöglichen soll. Dieser Teil benennt erste Chancen zur Implementierung innerhalb der Hyper-G- und, als Fernziel, auch der WWW-Welt. Er zeigt aber, neben den neuen Möglichkeiten, auch Risiken und Grenzen der Machbarkeit mit heutigen Mitteln auf. Die gesamte Darstellung orientiert sich an den Inhalten der bereits an anderer Stelle ausführlich vorgestellten Teilaufgaben und Teilprojekte und leitet daraus sowohl die vorgeschlagene Informationsstruktur als auch die technischen Mittel ab. Die wissenschaftlichen Inhalte und organisatorischen Ziele des Verteilten Informationssystems wurden in einer breiten (auch elektronisch geführten) Diskussion im Kreise der potentiellen Partner des Projekts ermittelt, insbesondere der Fachinformationsbeauftragten der Mathematik. Eine Anlage stellt eine vergleichende Betrachtung der Kosten auf, die einem mathematischen Fachbereich oder Forschungsinstitut bei der Weitergabe seiner wissenschaftlichen Reports auf Papier bzw. auf elektronischem Wege entstehen. \end{footnotesize}}
    Keywords: ddc:000
    Language: German
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    Simultanous h-p Adaption in Multilevel Finite Elements (1995)
    Details
    Publication Date: 2021-03-19
    Keywords: ddc:000
    Language: English
    Type: doctoralthesis , doc-type:doctoralThesis
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    Das Konrad-Zuse-Zentrum für Informationstechnik Berlin. Struktur, wissenschaftliches Konzept und Einbettung in die Region (1995)
    Details
    Publication Date: 2014-02-26
    Description: Die Arbeit beschreibt Konzept, Struktur und Ausstattung des ZIB. Übergeordnetes Ziel des ZIB ist die Beschleunigung des {\it Know-how Transfers} aus der mathematischen Grundlagenforschung über die Entwicklung von Algorithmen und Software bis hin zur tatsächlichen Nutzung in der Industrie. In der Tat ist Computational Mathematics inzwischen zu einer der wichtigsten {\it Schlüsseltechnologien} geworden, die nicht zuletzt im Zusammenhang mit der Standort-Diskussion eine wichtige Rolle spielt und vermehrt spielen wird. Dazu müssen Methodenentwicklung und Rechenzentrum auf höchstem Niveau sowie interdisziplinäre Forschung möglichst vereint in einer Institution mit enger Anbindung an ein universitäres Umfeld realisiert sein. Das Konrad-Zuse-Zentrum hat die wesentlichen Voraussetzungen als SC Zentrum bereits geschaffen; ein Ausbau zum HPSC Zentrum wäre eine natürliche Entwicklung - falls die Politik diese Chance rechtzeitig begreift!
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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    Computational Mathematics as Key Technology (1995)
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    Publication Date: 2021-02-05
    Language: English
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    Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz (1995)
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    Publication Date: 2020-10-02
    Language: English
    Type: book , doc-type:book
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    Simulationsverfahren für die Polymerchemie (1995)
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    Publication Date: 2020-03-20
    Language: English
    Type: bookpart , doc-type:bookPart
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    The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems (1995)
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    Publication Date: 2021-03-16
    Language: English
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    Simulation und Optimierung einer PC-Fertigung unter Echtzeitbedingungen (1995)
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    Publication Date: 2021-03-19
    Language: English
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    Combinatorics in Statistical Physics (1995)
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    Publication Date: 2020-11-16
    Language: English
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    Handbook of Combinatorics, Volume I (1995)
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    Publication Date: 2020-11-16
    Language: English
    Type: book , doc-type:book
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  • 59
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    Handbook of Combinatorics, Volume II (1995)
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    Publication Date: 2020-11-16
    Language: English
    Type: book , doc-type:book
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    Combinatorial Optimization (1995)
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    Publication Date: 2020-11-16
    Language: English
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  • 61
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    Die Zukunft wissenschaftlicher Kommunikation aus Sicht der Mathematik (1995)
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    Publication Date: 2020-08-05
    Language: English
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    Aufbau elektronischer Informations- und Kommunikationsstrukturen (1995)
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    Publication Date: 2020-08-05
    Language: English
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  • 63
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    Wissenschaftliche Kommunikation am Wendepunkt - Bibliotheken im Zeitalter globaler elektronischer Netze (1995)
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    Publication Date: 2020-08-05
    Language: English
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  • 64
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    Wissenschaftliche Information am Wendepunkt? (1995)
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    Publication Date: 2020-08-05
    Language: English
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  • 65
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    Routing in Grid Graphs by Cutting Planes (1995)
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    Publication Date: 2020-08-05
    Language: English
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    Design of Survivable Networks (1995)
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    Publication Date: 2020-08-05
    Language: English
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  • 67
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    Polyhedral and Computational Investigations for Designing Communication Networks with High Survivability Requirements (1995)
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    Publication Date: 2020-08-05
    Language: English
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  • 68
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    Fast and Resolution Independent Line Integral Convolution (1995)
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    Publication Date: 2020-03-09
    Description: Line Integral Convolution (LIC) is a powerful technique for generating striking images and animations from vector data. Introduced in 1993, the method has rapidly found many application areas, ranging from computer arts to scientific visualization. Based upon locally filtering an input texture along a curved stream line segment in a vector field, it is able to depict directional information at high spatial resolutions. We present a new method for computing LIC images, which minimizes the total number of stream lines to be computed and thereby reduces computational costs by an order of magnitude compared to the original algorithm. Our methods utilizes fast, error-controlled numerical integrators. Decoupling the characteristic lengths in vector field grid, input texture and output image, it allows to compute filtered images at arbitrary resolution. This feature is of great significance in computer animation as well as in scientific visualization, where it can be used to explore vector data by smoothly enlarging structure of details. We also present methods for improved texture animation, employing constant filter kernels only. To obtain an optimal motion effect, spatial decay of correlation between intensities of distant pixels in the output image has to be controlled. This is achieved by blending different phase shifted box filter animations and by adaptively rescaling the contrast of the output frames.
    Keywords: ddc:000
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    Truncated Gröbner Bases for Integer Programming (1995)
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    Publication Date: 2014-02-26
    Description: {\def\N{{\mbox{{\rm I\kern-0.22emN}}}}In this paper we introduce a multivariate grading of the toric ideal associated with the integer program $min \{ cx : Ax = b, x \in \N^n \}$, and a truncated Buchberger algorithm to solve the program. In the case of $max \{ cx : Ax \leq b, x \leq u, x \in \N^n \}$ in which all data are non-negative, this algebraic method gives rise to a combinatorial algorithm presented in UWZ94}.
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    Automatic classification of normal forms (1995)
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    Publication Date: 2014-02-26
    Description: The aim of this paper is to demonstrate a specific application of Computer Algebra to bifurcation theory with symmetry. The classification of different bifurcation phenomena in case of several parameters is automated, based on a classification of Gröbner bases of possible tangent spaces. The computations are performed in new coordinates of fundamental invariants and fundamental equivariants, with the induced weighted ordering. In order to justify the approach the theory of intrinsic modules is applied. Results for the groups $D_3, Z_2,$ and $ Z_2\times Z_2$ demonstrate that the algorithm works independent of the group and that new results are obtained.
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    On the De Branges Theorem (1995)
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    Publication Date: 2015-06-01
    Description: Recently, Todorov and Wilf independently realized that de Branges' original proof of the Bieberbach and Milin conjectures and the proof that was later given by Weinstein deal with the same special function system that de Branges had introduced in his work. In this article, we present an elementary proof of this statement based on the defining differential equations system rather than the closed representation of de Branges' function system. Our proof does neither use special functions (like Wilf's) nor the residue theorem (like Todorov's) nor the closed representation (like both), but is purely algebraic. On the other hand, by a similar algebraic treatment, the closed representation of de Branges' function system is derived. Our whole contribution can be looked at as the study of properties of the Koebe function. Therefore, in a very elementary manner it is shown that the known proofs of the Bieberbach and Milin conjectures can be understood as a consequence of the Löwner differential equation, plus properties of the Koebe function.
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    Structure and Stability in Two-Stage Stochastic Programming (1995)
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    Publication Date: 2020-08-05
    Description: {\begin{footnotesize} This thesis is concerned with structural properties and the stability behaviour of two-stage stochastic programs. Chapter~1 gives an introduction into stochastic programming and a summary of the main results of the thesis. In Chapter~2 we present easily verifiable sufficient conditions for the strong convexity of the expected-recourse function in a stochastic program with linear complete recourse. Different levels of randomness in the data are considered. We start with models where only the right-hand side of the constraints is random and extend these results to the situation where also the technology matrix contains random entries. The statements on strong convexity imply new stability estimates for sets of optimal solutions when perturbing the underlying probability measure. We work out Hölder estimates (in terms of the $\mbox{L}_1$-Wasserstein distance) for optimal solution sets to linear recourse models with random technology matrix. In Chapter~3 ({\it joint work with Werner Römisch, Berlin}) we are aiming at the Lipschitz stability of optimal solution sets to linear recourse models with random right-hand side. To this end , we first adapt the distance notion for the underlying probability measures to the structure of the model and derive a Lipschitz estimate for optimal solutions based on that distance. Here, the strong convexity established in Chapter~2 turns out as an essential assumption. For applications, however, a Lipschitz estimate with respect to a more accesssible probability distance is desirable. Structural properties of the expected-recourse function finally permit such an estimate in terms of the Kolmogorov-Smirnov distance of linear transforms of the underlying measures. The general analysis is specified to estimation via empirical measures. We obtain a law of iterated logarithm, a large deviation estimate and an estimate for the asymptotic distribution of optimal solution sets. Chapters~4 and~5 deal with two-stage linear stochastic programs where integrality constraints occur in the second stage. In Chapter~4 we study basic continuity properties of the expected-recourse function for models with random right-hand side and random technology matrix. The joint continuity with respect to the decision variable and the underlying probability measure leads to qualitative statements on the stability of local optimal values and local optimal solutions. In Chapter~5 we demonstrate that a variational distance of probability measures based on a suitable Vapnik-\v{C}ervonenkis class of Borel sets leads to convergence rates of the Hölder type for the expected recourse as a function of the underlying probability measure. The rates carry over to the convergence of local optimal values. As an application we again consider estimation via empirical measures. Beside qualitative asymptotic results for optimal values and optimal solutions we obtain a law of iterated logarithm for optimal values. \end{footnotesize}}
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    Type: doctoralthesis , doc-type:doctoralThesis
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    Adaptive Algorithms in Dynamical Process Simulation (1995)
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    Publication Date: 2014-02-26
    Description: Dynamical simulation of industrially relevant processes strongly advises the use of algorithms, which are {\em adaptive} both in time and in space discretization. The paper presents two alternatives: (a) a fully adaptive method of lines approach, which is based on finite difference methods and essentially applicable to 1D problems; (b) a fully adaptive Rothe method, which is based on a fast multilevel finite element method and applicable to 1D up to 3D.
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    Dynamics of Erbium-doped Waveguide Lasers: Modelling, Reliable Simulation, and Comparison with Experiments (1995)
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    Publication Date: 2014-02-26
    Description: A theoretical investigation of the dynamic properties of integrated optical Er--doped waveguide lasers is presented. It includes the construction of a physical model and of numerical techniques which allow reliable simulations of the dynamical behaviour of the laser signal depending on essential parameters of the laser device and on its external, time--dependent pump radiation. Therefore, a physical theory is developed which describes the propagation of light and its interaction with the active substrate in the laser cavity. This is realized in two steps. First, a {\em fundamental model} based on Maxwell's equations and on rate equations for the transitions in the active medium is constructed. Since this turns out to prohibit reliable simulations, it is, in a second step, reformulated via averaging in time and space which suppresses the fluctuations on the fastest time scales but represents them correctly. For this {\em reduced model} reliable and efficient simulation techniques using adaptive control schemes are designed and implemented. We apply the linear--implicit Euler discretization with extrapolation in time and a multilevel quadrature scheme in space. Finally, the model is justified in comparison with experimental observations in four cases of technological relevance.
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    Dynamic Dimension Reduction in ODE Models (1995)
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    Publication Date: 2014-02-26
    Description: The paper analyzes a splitting technique into fast and slow dynamical components of ODE systems as suggested by {\sc Maas and Pope} recently. Their technique is based on a real block -- Schur decomposition of the Jacobian of the right hand side of the ODE. As a result of the analysis, a computationally cheap monitor for the possible necessary recovering of the splitting is derived by singular perturbation theory. Numerical experiments on moderate size, but challenging reaction kinetics problems document the efficiency of the new device within a linearly-implicit stiff integrator.
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    The program CRACK for solving PDEs in General Relativity. Lecture given at the 152. WE-Heraeus-Seminar on RELATIVITY AND SCIENTIFIC CUMPUTING: Computer Algebra, Numerics, Visualization (1995)
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    Publication Date: 2014-02-26
    Description: In the introduction an approach to solving differential equations is motivated in which non-linear DEs are not attacked directly but properties like infinitesimal symmetries or the existence of an equivalent variational principle are investigated. In the course of such investigations overdetermined PDE-systems are generated which are to be solved (where the term `overdetermined' just stands for `more conditions than free functions'). In section 2.\ algorithms for simplifying and solving overdetermined PDE systems are given together with examples. References for more details of the corresponding program {\tt CRACK}, written by A.\ Brand and the author, are given. In sections 3.-05.\ applications of the program {\tt CRACK} are discussed. The first application is the investigation of symmetries of space-time metrics by solving Killing equations for Killing vectors and Killing tensors and their integrability conditions. A program {\tt CLASSYM} that formulates these equations, written by G.\ Grebot, is briefly described. In section 4.\ an example of the original application of {\tt CRACK} is discussed which is the determination of symmetries of a PDE system. The problem is to find the symmetries of an unusual unified field theory of gravitational and hadronic interactions. The application of symmetries with a program {\tt APPLYSYM} is the content of section 5.\ where an ODE, resulting from an attempt to generalize Weyl's class of solutions of Einsteins field equations, is solved. The final section is devoted to future work on, first, making a general PDE-solver more flexible and effective, and secondly, on applying it to more advanced applications. This section contains so far unpublished work. An example requiring the extension of {\tt CRACK} to deal with non-polynomial non-linearities results from an investigation of interior solutions of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion by H.\ Stephani. A possible future application of {\tt CRACK} is the determination of Killing tensors of higher rank. In the last sub-section an algorithm for formulating corresponding integrability conditions has been sketched. The maximal number of Killing tensors of rank $r$ in a $n$-dimensional Riemannian space has been found to be $\frac{1}{r+1}\left( ^{n + r - 1}_{\;\;\;\;\,r} \right) \left( ^{ n+r}_{\;\;\,r} \right)$.
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    Quantum-Classical Molecular Dynamics as an Approximation to Full Quantum Dynamics (1995)
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    Publication Date: 2014-02-26
    Description: This paper presents a mathematical derivation of a model for quantum-classical molecular dynamics (QCMD) as a {\em partial} classical limit of the full Schrödinger equation. This limit is achieved in two steps: separation of the full wavefunction and short wave asymptotics for its ``classical'' part. Both steps can be rigorously justified under certain smallness assumptions. Moreover, the results imply that neither the time-dependent self-consistent field method nor mixed quantum-semi-classical models lead to better approximations than QCMD since they depend on the separation step, too. On the other hand, the theory leads to a characterization of the critical situations in which the models are in danger of largely deviating from the solution of the full Schrödinger equation. These critical situations are exemplified in an illustrative numerical simulation: the collinear collision of an Argon atom with a harmonic quantum oscillator.
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    Alcuin's Transportation Problems and Integer Programming (1995)
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    Publication Date: 2020-08-05
    Description: The need to solve {\it transportation problems\/} was and still is one of the driving forces behind the development of the mathematical disciplines of graph theory, optimization, and operations research. Transportation problems seem to occur for the first time in the literature in the form of the four ''River Crossing Problems'' in the book Propositiones ad acuendos iuvenes. The {\it Propositiones\/} ---the oldest collection of mathematical problems written in Latin--- date back to the $8$th century A.D. and are attributed to Alcuin of York, one of the leading scholars of his time, a royal advisor to Charlemagne at his Frankish court. Alcuin's river crossing problems had no impact on the development of mathematics. However, they already display all the characteristics of today's large-scale real transportation problems. From our point of view, they could have been the starting point of combinatorics, optimization, and operations research. We show the potential of Alcuin's problems in this respect by investigating his problem~18 about a wolf, a goat and a bunch of cabbages with current mathematical methods. This way, we also provide the reader with a leisurely introduction into the modern theory of integer programming.
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    A Mathematical Approach to Smoothed Molecular Dynamics: Correcting Potentials for Freezing Bond Angles (1995)
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    Publication Date: 2014-02-26
    Description: The interaction potential of molecular systems which are typically used in molecular dynamics can be split into two parts of essentially different stiffness. The strong part of the potential forces the solution of the equations of motion to oscillate on a very small time scale. There is a strong need for eliminating the smallest time scales because they are a severe restriction for numerical long-term simulations of macromolecules. This leads to the idea of just freezing the high frequency degrees of freedom (bond stretching and bond angles). However, the naive way of doing this via holonomic constraints is bound to produce incorrect results. The paper presents a mathematically rigorous discussion of the limit situation in which the stiffness of the strong part of the potential is increased to infinity. It is demonstrated that the average of the limit solution indeed obeys a constrained Hamiltonian system but with a {\em corrected soft potential}. An explicit formula for the additive potential correction is given and its significant contribution is demonstrated in an illustrative example. It appears that this correcting potential is definitely not identical with the Fixman-potential as was repeatedly assumed in the literature.
    Keywords: ddc:000
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    On the Sojourn Times for Many-Queue Head-of-the-Line Processor-Sharing Systems with Permanent Customers (1995)
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    Publication Date: 2014-11-11
    Description: We consider a single server system consisting of $n$ queues with different types of customers (Poisson streams) and $k$ permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor-sharing). The stability condition and a pseudo work conservation law will be given for arbitrary service time distributions; for exponential service times a pseudo conservation law for the mean sojourn times can be derived. In case of two queues and exponential service times, the generating function of the stationary distribution satisfies a functional equation being a Riemann-Hilbert problem which can be reduced to a Dirichlet problem for a circle. The solution yields the mean sojourn times as an elliptic integral, which can be computed numerically very efficiently. In case $n\ge 2$ a numerical algorithm for computing the performance measures is presented, which is efficient for $n=2,3$. Since for $n\ge 4$ an exact analytical or/and numerical treatment is too complex a heuristic approximation for the mean sojourn times of the different types of customers is given, which in case of a (complete) symmetric system is exact. The numerical and simulation results show that, over a wide range of parameters, the approximation works well.
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    Homogenization of Highly Oscillatory Hamiltonian Systems (1995)
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    Publication Date: 2014-02-26
    Description: The paper studies Hamiltonian systems with a strong potential forcing the solutions to oscillate on a very small time scale. In particular, we are interested in the limit situation where the size $\epsilon$ of this small time scale tends to zero but the velocity components remain oscillating with an amplitude variation of order ${\rm O}(1)$. The process of establishing an effective initial value problem for the limit positions will be called {\em homogenization} of the Hamiltonian system. This problem occurs in mechanics as the problem of realization of holonomic constraints, in plasma physics as the problem of guiding center motion, in the simulation of biomolecules as the so called smoothing problem. We suggest the systematic use of the notion of {\em weak convergence} in order to approach this problem. This methodology helps to establish unified and short proofs of the known results which throw light on the inherent structure of the problem. Moreover, we give a careful and critical review of the literature.
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    A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors (1995)
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    Publication Date: 2014-02-26
    Description: Each invariant set of a given dynamical system is part of the global attractor. Therefore the global attractor contains all the potentially interesting dynamics, and, in particular, it contains every (global) unstable manifold. For this reason it is of interest to have an algorithm which allows to approximate the global attractor numerically. In this article we develop such an algorithm using a subdivision technique. We prove convergence of this method in a very general setting, and, moreover, we describe the qualitative convergence behavior in the presence of a hyperbolic structure. The algorithm can successfully be applied to dynamical systems of moderate dimension, and we illustrate this fact by several numerical examples.
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    The Identification Problem for Transcendental Functions (1995)
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    Publication Date: 2015-06-01
    Description: In this article algorithmic methods are presented that have essentially been introduced into computer algebra within the last decade. The main ideas are due to Stanley[1980] and Zeilberger[1990]. Some of them had already been discovered in the last century (see e.\ g.\ Beke[1894]), but because of the complexity of the underlying algorithms have fallen into oblivion. The combination of these ideas leads to a solution of the identification problem for a large class of transcendental functions. We present implementations of these algorithms in computer algebra systems.
    Keywords: ddc:000
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    Symmetric Hierarchical Polynomials and the Adaptive h-p-Version (1995)
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    Publication Date: 2021-03-19
    Description: The $h$-$p$-version of finite-elements delivers a sub-exponential convergence in the energy norm. A step towards a full adaptive implementation is taken in the context of unstructured meshes of simplices with variable order $p$ in space. Both assumptions lead to desirable properties of shape functions like symmetry, $p$-hierarchy and simple coupling of elements. In a first step it is demonstrated that for standard polynomial vector spaces on simplices not all of these features can be obtained simultaneously. However, this is possible if these spaces are slightly extended or reduced. Thus a new class of polynomial shape functions is derived, which are especially well suited for three dimensional tetrahedra. The construction is completed by directly minimizing the condition numbers of the arising preconditioned local finite element matrices. The preconditioner is based on two-step domain decomposition techniques using a multigrid solver for the global linear problem $p=1$ and direct solvers for local higher order problems. Some numerical results concerning an adaptive (feedback) version of $h$-$p$ finite elements are presented.
    Keywords: ddc:000
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    Solving Stochastic Programs with Complete Integer Recourse: a framework using Gröbner Bases (1995)
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    Publication Date: 2014-02-26
    Description: In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed.
    Keywords: ddc:000
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    An adaptive Wavelet-Vaguelette Algorithm for the Solution of Nonlinear PDEs (1995)
    Details
    Publication Date: 2014-02-26
    Description: The paper describes a fast algorithm for the discrete periodic wavelet transform and its inverse without using the scaling function. The approach permits to compute the decomposition of a function into a lacunary wavelet basis, i.e. a basis constituted of a subset of all basis functions up to a certain scale, without modification. The construction is then extended to operator--adapted biorthogonal wavelets. This is relevant for the solution of non--linear evolutionary PDEs where a priori information about the significant coefficients is available. We pursue the approach described in FrSc94 which is based on the explicit computation of the scalewise contributions of the approximated function to the values at points of hierarchical grids. Here, we present an improved construction employing the cardinal function of the multiresolution. The new method is applied to the Helmholtz equation and illustrated by comparative numerical results. It is then extended for the solution of a nonlinear parabolic PDE with semi--implicit discretization in time and self--adaptive wavelet discretization in space. Results with full adaptivity of the spatial wavelet discretization are presented for a one--dimensional flame front as well as for a two--dimensional problem.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 87
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    Approximations for the Distribution Function of the Sum of iid Random Variables with Compact Support in R+ (1995)
    Details
    Publication Date: 2014-02-26
    Description: In this paper a unified approach to central and decentral approximations of the distribution function $F(x,n)$ of the sum of $n$ iid random variables with compact support in $I\!\!R_+$ is given. This approach yields direct Edgeworth expansion (especially the Central limit theorem) and indirect Edgeworth expansion (Theorem of Bahadur-Rao, large deviation results) within a unified framework. An approximative inversion of the LST of $F(x,n)$ (approximation of the complex inversion integral over a line by an integral over a proper bounded arc with a proper integrand) allows to get these approximations and moreover explicit error bounds.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 88
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    Quadratic Knapsack Relaxations Using Cutting Planes and Semidefinite Programming: extended abstract (1995)
    Details
    Publication Date: 2014-02-26
    Description: We investigate dominance relations between basic semidefinite relaxations and classes of cuts. We show that simple semidefinite relaxations are tighter than corresponding linear relaxations even in case of linear cost functions. Numerical results are presented illustrating the quality of these relaxations.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 89
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    Wagenumlaufoptimierung - Methodischer Ansatz und praktische Anwendung (1995)
    Details
    Publication Date: 2014-11-02
    Description: Im Rahmen des EDV-gestützten Systems zur {\bf{}BE}t{\bf{}R}iebseinsa{\bf{}T}zplanung und -{\bf{}A}uswertung (BERTA) der Berliner Verkehrsbetriebe (BVG) wird ein Modul zur Wagenumlaufoptimierung realisiert. In diesem Aufsatz berichten wir über die betrieblichen Anforderungen und Nebenbedingungen an eine mathematische Optimierung und erläutern unsere Konzepte zur Realisierung eines exakten mathematischen Verfahrens.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 90
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    Splus Tools for Model Selection in Nonlinear Regression (1995)
    Details
    Publication Date: 2014-02-26
    Description: The results of analyzing experimental data using a parametric model may heavily depend on the chosen model. With this paper we describe computational tools in Splus for the adequate selection of nonlinear regression models if the intended use of the model is among the following: 1. estimation of the unknown regression function, 2. prediction of future values of the response variable, 3. calibration or 4. estimation of some parameter with a certain meaning in the corresponding field of application. Moreover, we provide programs for variance modelling and for selecting an appropriate nonlinear transformation of the observations which may lead to an improved accuracy. We describe how the accuracy of the parameter estimators is assessed by a "moment oriented bootstrap procedure". This procedure is also used for the construction of confidence, prediction and calibration intervals. The use of our tools is illustrated by an example. Help files are given in an appendix.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 91
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    Jack-III Ein Branch & Cut-Verfahren zur Lösung des gewichteten Steinerbaumproblems in Graphen (1995)
    Details
    Publication Date: 2020-08-05
    Description: In der vorliegenden Arbeit werden die grundlegenden Gedanken und die Implementierung eines Branch & Cut-Algorithmus zur Lösung des gewichteten Steinerbaumproblems in Graphen beschrieben. Der Algorithmus basiert auf der linearen Relaxierung einer bidirektionalen ganzzahligen Formulierung des Problems. Wir werden das Problem einführen, drei ganzzahlige Modellierungen vorstellen, auf Reduktionsverfahren und Heuristiken eingehen sowie das Verfahren und seine Implementierung darstellen. Am Ende werden wir die Implementierung an 191 bekannten Probleminstanzen testen und auch optimale Lösungen f� ur zwei nach Wissen des Autors bis zu diesem Zeitpunkt ungelöste Instanzen liefern.
    Keywords: ddc:080
    Language: German
    Type: masterthesis , doc-type:masterThesis
    Format: application/pdf
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  • 92
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    Strong Convexity in Stochastic Programs with Complete Recourse II: Partially Random Right-Hand Side (1995)
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    Publication Date: 2014-02-26
    Description: We establish a verifiable sufficient condition for strong convexity of the expected recourse as a function of the tender variable in a two-stage stochastic program with linear recourse. Generalizing a former result where all components of the second-stage right-hand side vector were random we treat the case where only a subvector of the right-hand side is random. As prerequisite, a refined analysis of the polyhedral complex of lineality regions of the second-stage value function is carried out. The sufficient condition for strong convexity allows to widen the class of recourse models for which certain quantitative results on stability and asymptotic convergence of optimal solutions are valid.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 93
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    A Fully Adaptive MOL-Treatment of Parabolic 1D-Problems with Extrapolation Techniques (1995)
    Details
    Publication Date: 2014-02-26
    Description: A fully adaptive method is presented for the numerical solution of highly nonlinear, coupled systems of parabolic differential equations in one space dimension. Time discretization is by means of the linearly--implicit Euler discretization. Space discretization is by finite differences on non--uniform grids. Both basic discretizations are combined with extrapolation. Based on local error estimates for both the time and the space discretization error, the accuracy of the numerical approximation is controlled and the discretization stepsizes are adapted automatically and simultaneously. The algorithm is implemented in a user friendly software package, PDEX1M. To be a powerful tool for users coming from applications the package has been equipped with some additional useful devices.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 94
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    Optimum Path Packing on Wheels: The Consecutive Case (1995)
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    Publication Date: 2014-02-26
    Description: We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that the terminal pairs are in consecutive order, then a path packing, i.~e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be found in strongly polynomial time. Moreover, we exhibit for this case a system of linear inequalities that provides a complete and nonredundant description of the path packing polytope, which is the convex hull of all incidence vectors of path packings and their supersets.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 95
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    Solving Quadratic (0,1)-Problems by Semidefinite Programs and Cuttings Planes (1995)
    Details
    Publication Date: 2014-02-26
    Description: We present computational experiments for solving quadratic $(0,1)$ problems. Our approach combines a semidefinite relaxation with a cutting plane technique, and is applied in a Branch and Bound setting. Our experiments indicate that this type of approach is very robust, and allows to solve many moderately sized problems, having say, less than 100 binary variables, in a routine manner.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 96
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    Routing through virtual paths in layered telecommunication networks (1995)
    Details
    Publication Date: 2014-02-26
    Description: We study a network configuration problem in telecommunications where one wants to set up paths in a capacitated network to accommodate given point-to-point traffic demand. The problem is formulated as an integer linear programming model where 0-1 variables represent different paths. An associated integral polytope is studied and different classes of facets are described. These results are used in a cutting plane algorithm. Computational results for some realistic problems are reported.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 97
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    Model Selection, Transformations and Variance Estimation in Nonlinear Regression (1995)
    Details
    Publication Date: 2014-02-26
    Description: The results of analyzing experimental data using a parametric model may heavily depend on the chosen model. In this paper we propose procedures for the adequate selection of nonlinear regression models if the intended use of the model is among the following: 1. prediction of future values of the response variable, 2. estimation of the unknown regression function, 3. calibration or 4. estimation of some parameter with a certain meaning in the corresponding field of application. Moreover, we propose procedures for variance modelling and for selecting an appropriate nonlinear transformation of the observations which may lead to an improved accuracy. We show how to assess the accuracy of the parameter estimators by a "moment oriented bootstrap procedure". This procedure may also be used for the construction of confidence, prediction and calibration intervals. Programs written in Splus which realize our strategy for nonlinear regression modelling and parameter estimation are described as well. The performance of the selected model is discussed, and the behaviour of the procedures is illustrated by examples.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 98
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    Jahresbericht 1994 (1995)
    Details
    Publication Date: 2019-10-24
    Keywords: ddc:000
    Language: German
    Type: annualzib , doc-type:report
    Format: application/pdf
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  • 99
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    Verteiltes Informationssystem für die Mathematik (1995)
    Details
    Publication Date: 2022-04-11
    Description: ``Das System ist zerbrochen!'', so lautet das Urteil von Keith Dennis, Professor an der Cornell University und neuer Verantwortlicher für die Mathematical Reviews, über das traditionelle Publikationswesen in der Mathematik. Was sind die Ursachen? Hauptsächlich sind es das starke Wachstum der mathematischen Literatur, die langen Verzögerungen von der Erstellung bis zum Erscheinen einer Arbeit, die hohen Ablehnungsraten bei mathematischen Journalen aufgrund beschränkter Seitenzahlen (und nicht wegen mangelnder Qualität) sowie drastisch steigende Preise für Zeitschriften und Bücher bei gleichzeitiger Reduktion der Bibliotheksetats.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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  • 100
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    Distributed Information System for Mathematics (Available only in german, TR 95-06) (1995)
    Details
    Publication Date: 2022-04-11
    Description: "The system is broken'' is how Keith Dennis, professor at Cornell University and the new editor-in-chief of the Mathematical Reviews characterizes the traditional ways and means of publication in mathematics. What are the reasons? The main reasons are the extreme growth in the mathematical literature, the long delays between preparation and publication of an article, the high number of rejected papers due to page limitations (not lack of quality) as well as drastic price increases for journals and books with library budgets being reduced at the same time.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
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