ZIB

1

Unknown

Implementation of the LISP-Arbitrary Precision Arithmetic for a Vector Processor. (1988)

Neun, Winfried ; Melenk, Herbert

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Publication Date: 2018-12-06

Description: Portable Standard LISP (PSL, Version 3.4) and REDUCE 3 were implemented for CRAY1 and Cray X- MP computers at the Konrad-Zuse-Zentrum Berlin in 1986. As an special aspect of the implementation of PSL, an interface to the vector hardware of CRAY processors was defined. With that interface and mostly driven by the needs of REDUCE applications (e.g. extensive calculations of Gröbner bases), the arbitrary precision integer arithmetic of PSL was rebuild using full power of the vector hardware. A modular arithmetic using vector hardware was also constructed.

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2

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Multi-Grid Solution of Two Coupled Stefan Equations Arising in Induction Heating of Large Steel Slabs. (1988)

Hoppe, Ronald H. W. ; Kornhuber, Ralf

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Publication Date: 2014-02-26

Description: Induction heating of large steel slabs can be described by a coupled system of nonlinear evolution equations of Stefan type representing the temporal and spatial distribution of the induced magnetic field and the generated temperature within the slab. Discretizing these equations implicitly in time and by finite differences in space, at each time step the solution of a system of difference inclusions is required. For the solution of that system two multi-grid algorithms are given which combined with a nested iteration type continuation strategy to proceed in time result in computationally highly efficient schemes for the numerical simulation of the induction heating process. {\bf Keywords:} induction heating, system of two coupled Stefan equations, multi-grid algorithms. {\bf Subject Classification:} AMS(MOS): 35K60, 35R35, 65H10, 65N05, 65N20, 78A25, 78A55.

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3

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On Gröbner Bases Computation on a Supercomputer Using REDUCE. (1988)

Melenk, Herbert ; Möller, H. Michael ; Neun, Winfried

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Publication Date: 2018-12-06

Description: Gröbner bases are the main tool for solving systems of algebraic equations and some other problems in connection with polynomial ideals using Computer Algebra Systems. The procedure for the computation of Gröbner bases in REDUCE 3.3 has been modified in order to solve more complicated algebraic systems of equations by some general improvements and by some tools based on the specific resources of the CRAY X-MP. We present this modification and illustrate it by examples.

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4

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Concepts of an Adaptive Hierarchical Finite Element Code. (1988)

Deuflhard, Peter ; Leinen, P. ; Yserentant, Harry

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Publication Date: 2014-02-26

Description: The paper presents the mathematical concepts underlying the new adaptive finite element code KASKADE, which, in its present form, applies to linear scalar second-order 2-D elliptic problems on general domains. Starting point for the new development is the recent work on hierarchical finite element bases due to Yserentant (1986). It is shown that this approach permits a flexible balance between iterative solver, local error estimator, and local mesh refinement device - which are the main components of an adaptive PDE code. Without use of standard multigrid techniques, the same kind of computational complexity is achieved - independent of any uniformity restrictions on the applied meshes. In addition, the method is extremely simple and all computations are purely local - making the method particularly attractive in view of parallel computing. The algorithmic approach is illustrated by a well-known critical test problem. {\bf Keywords:} finite elements, hierarchical basis, adaptive mesh refinement, preconditioned conjugate gradient methods.

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5

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REDUCE User s Guide for the CRAY 1 / CRAY X-MP Series Running UNICOS. Version 3.3. (1988)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: This document describes operating procedures for running REDUCE specific to the CRAY 1 and CRAY X-MP computers running the Operating System UNICOS. The document was derived from the corresponding document for Vax/UNIX prepared by A. C. Hearn and L. R. Seward, The Rand Corporation, Santa Monica, (CP85).

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6

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Thermal recovery after passage of the pulmonary circulation assessed by deconvolution (1988)

Böck, J. ; Deuflhard, Peter ; Hoeft, A. ; [et al.]

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Publication Date: 2020-03-06

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7

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Evaluation of monoexponential extrapolation of transpulmonary thermal-dye kinetics by use of a new model-free deconvolution algorithm (1988)

Böck, J. ; Deuflhard, Peter ; Hoeft, A. ; [et al.]

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Publication Date: 2020-03-06

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8

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An application of combinatorial optimization to statistical physics and circuit layout design (1988)

Barahona, Francisco ; Grötschel, Martin ; Jünger, Michael ; [et al.]

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Publication Date: 2014-02-24

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9

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Geometric Algorithms and Combinatorial Optimization (1988)

Grötschel, Martin ; Lovász, Lászlo ; Schrijver, Alexander

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Publication Date: 2020-11-16

Language: English

Type: book , doc-type:book

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10

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Computational Treatment of Polyreaction Kinetics by Orthogonal Polynomials of a Discrete Variable. (1988)

Deuflhard, Peter ; Wulkow, Michael

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Publication Date: 2014-02-26

Description: The paper presents a new approach to the computational treatment of polyreaction kinetics. This approach is characterized by a Galerkin method based on orthogonal polynomials of a discrete variable, the polymer degree (or chain length). In comparison with the known competing approaches (statistical moment treatment, Galerkin methods for continuous polymer models), the suggested method is shown to avoid the disadvantages and preserve the adventages of either of them. The basic idea of the method is the construction of a discrete inner product associated with a reasonably chosen probability density function. For the so-called Schulz-Flory distribution one thus obtains the discrete Laguerre polynomials, whereas the Poisson distribution leads to the Charlier polynomials. Numerical experiments for selected polyreaction mechanisms illustrate the efficiency of the proposed method.

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11

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Symbolic Solution of Large Stationary Chemical Kinetics Problems. (1988)

Melenk, Herbert ; Möller, H. Michael ; Neun, Winfried

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Publication Date: 2018-12-06

Description: The paper presents a new application of computer algebra to the treatment of steady states of reaction systems. The method is based on the Buchberger algorithm. This algorithm was modified such that it can exploit the special structure of the equations derived from reaction systems, so even large systems can be handled. In contrast to numerical approximation techniques, the algebraic solution gives a complete and definite overview of the solution space and it is even applicable when parameter values are unknown or undetermined. The algorithm, its adaptation to the problem class and its application to selected examples are presented.

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12

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REDUCE Installation Guide for CRAY 1 / X-MP Systems Running UNICOS. Version 3.3. (1988)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: This guide describes the CRAY/UNICOS REDUCE distribution tape and the procedures for installing, testing and maintaining REDUCE on a CRAY 1 or CRAY X-MP running UNICOS. This document was derived from the corresponding document for Vax/UNIX prepared by A. C. Hearn and L.R. Seward, The Rand Corporation, Santa Monica, publication CP84.

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13

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Global Decoupling of Coupled Symmetric Oscillators. (1988)

Alexander, J. C. ; Fiedler, Bernold

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Publication Date: 2014-02-26

Description: We model a symmetric system of coupled oscillators as a graph with symmetry group $\gamma$. Each vertex of the graph represents an "oscillator" or a "cell" of reactants. The magnitude (concentration) of the reactants in the $ i $ th cell is represented by a vector $ x^i $. The edges represent the coupling of the cells. The cells are assumed to evolve by identical reaction-diffusion equation which depends on the sum of the reactants in the nearest neighbors. Thus the dynamics of the system is described by a nonlinear differential system \begin{flushleft} \[ \mbox {(*) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \dot{x}^i = f (x^i,\sum_{j \in N_i} x^j), \mbox { \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \] \end{flushleft} where the sum ranges over the set $ N_i $ of neighbors of cell $ i $ . If $ f $ also has a symmetry (e.g., oddness), there are geometric conditions on the graph such that the nonlinear system $ (*) $ decouples globally into a product flow on certain sums of isotropy subspaces. Thus we may detect higher-dimensional tori of solutions of $ (*) $ which are not amenable to other types of analysis. We present a number of examples, such as bipartite graphs, complete graphs, the square, the octahedron, and a 6-dimensional cube.

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14

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Parallel Polynomial Operations in the Buchberger Algorithm. (1988)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: The Buchberger algorithm is a basic tool for the solution of systems of polynomial equations in an environment of computer algebra applications. A model for overlapped processing of different steps of the algorithm is presented, which uses the data structure of the polynomials (distributive representation) for synchronization. The model can be applied for multi processors with fast access to shared data. It is tested with Cray X-MP multi processors based on a parallel version of Portable Standard Lisp (PSL 3.4).

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15

Book

Global bifurcation of periodic solutions with symmetry /; 1309 (1988)

Fiedler, Bernold

Berlin [u.a.] :Springer,

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Title: Global bifurcation of periodic solutions with symmetry /; 1309

Author: Fiedler, Bernold

Publisher: Berlin [u.a.] :Springer,

Year of publication: 1988

Pages: VIII, 144 S. : , Ill., graph. Darst.

Series Statement: Lecture notes in mathematics 1309

ISBN: 3-540-19234-4 , 0-387-19234-4

Type of Medium: Book

Language: English

Parallel Title: obal bifurcation of periodic solutions with symmetry

URL: http://www.zentralblatt-math.org/zmath/en/search/?an=0644.34038

URL: http://www.gbv.de/dms/hbz/toc/ht003121723.pdf

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Zuse Institute Berlin

16

Book

Flames /; Part 1 (1988)

Kuhl, A. L.

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Title: Flames /; Part 1

Author: Kuhl, A. L.

Year of publication: 1988

Pages: XIX, 439 S.

Series Statement: Dynamics of reactive systems Part 1

ISBN: 0-930403-46-0

Type of Medium: Book

Language: English

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Zuse Institute Berlin

17

Unknown

A Note on Extrapolation Methods for Second Order ODE Systems. (1987)

Deuflhard, Peter

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Publication Date: 2014-02-26

Description: A slight modification of the extended Stoermer discretization for non self-adjoint second order ODE systems is derived on the basis of a simple stability analysis. This discretization easily extends to implicit ODE systems, which are known to arise e.g. in mechanical engineering. In addition, a special variant of semi-implicit Euler discretization is proposed, which essentially treats the state variables explicitly, but their derivatives implicitly. Numerical tests over critical parameter values of the van der Pol oscillator illustrate the domain of efficiency of the suggested discretizations.

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18

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Uniqueness Theorems for Stiff ODE Initial Value Problems. (1987)

Deuflhard, Peter

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Publication Date: 2014-02-26

Description: The paper presents a new uniqueness theory for ODE initial value problems, derived in view of numerical stiff integration. The theory supplies stepsize bounds for stiff integrators that can easily be estimated in extrapolation methods. The additional devices lead to a significant speed-up of computations - in particular in combustion PDE problems.

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19

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The Hierarchical Basis Multigrid Method. (1987)

Bank, Randolph ; Dupont, Todd F. ; Yserentant, Harry

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Publication Date: 2014-02-26

Description: We derive and analyze the hierarchical basis-multigrid method for solving discretizations of self-adjoint, elliptic boundary value problems using piecewise linear triangular finite elements. The method is analyzed as a block symmetric Gauß- Seidel iteration with inner iterations, but it is strongly related to 2-level methods, to the standard multigrid V-cycle, and to earlier Jacobi-like hierarchical basis methods. The method is very robust, and has a nearly optimal convergence rate and work estimate. It is especially well suited to difficult problems with rough solutions, discretized using highly nonuniform, adaptively refined meshes.

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20

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CGM-Concepts and their Realizations. (1987)

Buhtz, Rainer

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Publication Date: 2014-02-26

Description: Requirements and Design Concepts. Common Graphics Manager (CGM) is the name given to the implementation of GKS, Level 2b, developed at the Free University of Berlin (1,6). This paper is a survey over the "early GKS implementation phase" 1982. Work commenced in February 1980. At the outset some basic design decisions were necessary on account of the special scientific computer environment in Berlin, because the "Berlin GKS" was intended to be a common graphical software package for all the machines.

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21

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Preconditioning Indefinite Discretization Matrices. (1987)

Yserentant, Harry

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Publication Date: 2014-02-26

Description: The finite element discretization of many elliptic boundary value problems leads to linear systems with positive definite and symmetric coefficient matrices. Many efficient preconditioners are known for these systems. We show that these preconditioning matrices can be used also for the linear systems arising from boundary value problems which are potentially indefinite due to lower order terms in the partial differential equation. Our main tool is a careful algebraic analysis of the condition numbers and the spectra of perturbed matrices which are preconditioned by the same matrices as in the unperturbed case. {\bf Keywords: }Preconditioned conjugate gradient methods, finite elements. {\bf Subject Classification: } AMS(MOS):65F10, 65N20, 65N30.

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22

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Portable Common LISP Subset Implementation for CRAY X+MP Computers. (1987)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: This document describes the installation procedure and maintenance for the Portable Common LISP Subset (PCLS) developed at the University of Utah.

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23

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Efficient numerical pathfollowing beyond critical points (1987)

Deuflhard, Peter ; Fiedler, P. ; Kunkel, P.

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Publication Date: 2020-03-06

Language: English

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24

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Large scale scientific computing. (proceedings of a Meeting on Large Scale Scientific Computing held at the Oberwolfach Mathematical Insitute, Oberwolfach, FRG, July 14-19, 1985) (1987)

Deuflhard, Peter ; Engquist, B.

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Publication Date: 2020-03-06

Language: English

Type: conferenceobject , doc-type:conferenceObject

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25

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Numerical Pathfollowing Beyond Critical Points in ODE Models (1987)

Deuflhard, Peter ; Fiedler, B. ; Kunkel, P.

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Publication Date: 2020-03-06

Language: English

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26

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One-step and extrapolation methods for differential-algebraic systems (1987)

Deuflhard, Peter ; Hairer, E. ; Zugck, J.

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Publication Date: 2020-03-06

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27

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Extrapolation integrators for quasilinear implicit ODEs. (1987)

Deuflhard, Peter ; Nowak, Ulrich

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Publication Date: 2020-12-14

Language: English

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28

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A Cutting Plane Algorithm for Minimum Perfect 2-Matchings (1987)

Grötschel, Martin ; Holland, Olaf

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Publication Date: 2014-02-24

Language: English

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29

Unknown

Calculating Exact Ground States of Spin Glasses (1987)

Grötschel, Martin ; Jünger, Michael ; Reinelt, Gerhard

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Publication Date: 2014-02-24

Language: English

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30

Unknown

The Implementation and Optimization of Portable Standard LISP for the CRAY. (1987)

Anderson, J. ; Galway, W. ; Kessler, R. ; [et al.]

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Publication Date: 2018-12-06

Description: Portable Standard LISP (PSL), a dialect of LISP developed at the University of Utah, has been implemented and optimized for the CRAY 1 and CRAY X-MP supercomputers. This version uses a new implementation technique that permits a step-by-step development of the PSL kernel. The initial CRAY version was acceptable, although the execution speed of the PSL was not as fast as had been anticipated. CRAY-specific optimizations were undertaken that in some cases provided a ten-fold speed improvement, resulting in a fast LISP implementation.

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31

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Portable Standard LISP Implementation for CRAY X+MP Computers. Release of PSL 3.4 for COS. (1987)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: Portable Standard LISP (PSL) is a portable implementation of the programming language LISP constructed at the University of Utah. The version 3.4 of PSL was implemented for CRAY X-MP computers by Konrad Zuse-Zentrum Berlin; this implementation is based to an important part on the earlier implementation of PSL 3.2 at Salt Lake City, Los Alamos and Mendota Heights.

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32

Unknown

REDUCE Users Guide for the CRAY 1 / X-MP Series Running COS. Version 3.3. (1987)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: This document describes operating procedures for running REDUCE specific to the CRAY 1 and CRAY X-MP computers running the CRAY Operating System (COS). The document was derived from the corresponding document for Vax/UNIX prepared by A.C. Hearn and L.R. Seward, The Rand Corporation, Santa Monica, (CP85).

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33

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REDUCE Installation Guide for CRAY 1 / X-MP Systems Running COS. Version 3.3. (1987)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: This guide describes the CRAY/COS REDUCE distribution tape and the procedures for installing, testing and maintaining REDUCE on a CRAY 1 or CRAY X-MP running COS. This document was derived from the corresponding document for Vax/Unix prepared by A. C. Hearn and L. R. Seward, The Rand Corporation, Santa Monica, publication CP84.

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34

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Besondere Lösungen in harmonisch erregten Ferroresonanz-Kreisen (1987)

Philippow, E. ; Schmidt, Frank

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Publication Date: 2022-07-07

Language: English

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35

Book

I have a photographic memory / (1987)

Halmos, Paul R.

Providence, RI :American Mathematical Soc.,

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Title: I have a photographic memory /

Author: Halmos, Paul R.

Publisher: Providence, RI :American Mathematical Soc.,

Year of publication: 1987

Pages: 606 S. : , zahlr. Ill.

ISBN: 0-8218-0115-5

Type of Medium: Book

Language: English

URL: lizenzfrei

URL: 01 (lizenzfrei)

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Zuse Institute Berlin

36

Book

Optical resonance and two-level atoms / (1987)

Allen, Leslie ; Eberly, Joseph H.

New York :Dover Publ,

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Title: Optical resonance and two-level atoms /

Author: Allen, Leslie

Contributer: Eberly, Joseph H.

Edition: Repr. d. Ausg. New York, Wiley, 1975

Publisher: New York :Dover Publ,

Year of publication: 1987

Pages: XII, 233 S. : , graph. Darst.

ISBN: 0-486-65533-4 , 978-0-486-65533-8

Type of Medium: Book

Language: English

URL: lizenzfrei

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Zuse Institute Berlin

37

Book

Nonlinear analysis and optimization /; 30 (1987)

Cornet, B. [[Hrsg.]]

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Title: Nonlinear analysis and optimization /; 30

Contributer: Cornet, B.

Year of publication: 1987

Pages: VII, 182 S.

Series Statement: Mathematical programming 30

Type of Medium: Book

Language: English

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Zuse Institute Berlin

38

Book

Computational mathematical programming /; 31 (1987)

Hoffman, K. L. [[Hrsg.]]

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Title: Computational mathematical programming /; 31

Contributer: Hoffman, K. L.

Year of publication: 1987

Pages: VII, 191 S.

Series Statement: Mathematical programming 31

Type of Medium: Book

Language: English

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Zuse Institute Berlin

39

Book

TURBO PASCAL : a problem-solving approach (1987)

Koffman, Elliot B.

Reading, Mass. u.a. :Addison-Wesley,

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Title: TURBO PASCAL : a problem-solving approach

Author: Koffman, Elliot B.

Edition: Repr. with corr.

Publisher: Reading, Mass. u.a. :Addison-Wesley,

Year of publication: 1987

Pages: Getr. Zählung

Series Statement: Addison-Wesley series in computer science

ISBN: 0-201-11743-6

Type of Medium: Book

Language: English

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Zuse Institute Berlin

40

Book

Digital halftoning (1987)

Ulichney, Robert

Cambridge, Mass. u.a. :MIT Pr.,

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Title: Digital halftoning

Author: Ulichney, Robert

Publisher: Cambridge, Mass. u.a. :MIT Pr.,

Year of publication: 1987

Pages: XIV, 362 S.

ISBN: 0-262-21009-6

Type of Medium: Book

Language: English

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Zuse Institute Berlin

41

Unknown

Hypo-Hamiltonian Facets of the Symmetric Travelling Salesman Polytope (1978)

Grötschel, Martin

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Publication Date: 2014-02-24

Language: English

Type: article , doc-type:article

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42

Unknown

A property of continuous unbounded algorithms (1978)

Grötschel, Martin ; von Randow, Rabe

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Publication Date: 2014-02-24

Language: English

Type: article , doc-type:article

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43

Unknown

On the symmetric travelling salesman problem (1978)

Grötschel, Martin ; Padberg, Manfred

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Publication Date: 2014-02-24

Language: English

Type: conferenceobject , doc-type:conferenceObject

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44

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An Underrelaxed Gauss-Newton Method for Equality Constrained Nonlinear Least Squares Problems (1978)

Deuflhard, Peter ; Apostolescu, Victor

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Publication Date: 2022-05-09

Language: English

Type: conferenceobject , doc-type:conferenceObject

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45

Book

Numerical treatment of differential equations /; 631 (1978)

Bulirsch, Roland

Berlin [u.a.] :Springer,

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Title: Numerical treatment of differential equations /; 631

Contributer: Bulirsch, Roland

Publisher: Berlin [u.a.] :Springer,

Year of publication: 1978

Pages: IX, 219 S. : , graph. Darst.

Series Statement: Lecture notes in mathematics 631

ISBN: 3-540-08539-4 , 0-387-08539-4

Type of Medium: Book

Language: English

URL: http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0361.00007

URL: http://www.gbv.de/dms/hbz/toc/ht000924304.pdf

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46

Book

Polyhedral combinatorics : Dedicated to the memory of D. R. Fulkerson; 8 (1978)

Balinski, Michel L. [[Hrsg.]]

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Title: Polyhedral combinatorics : Dedicated to the memory of D. R. Fulkerson; 8

Contributer: Balinski, Michel L.

Year of publication: 1978

Pages: VI, 234 S.

Series Statement: Mathematical programming 8

ISBN: 0-444-85196-8

Type of Medium: Book

Language: English

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47

Unknown

A Summation Technique for Minimal Solutions of Linear Homogeneous Difference Equations (1977)

Deuflhard, Peter

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Publication Date: 2020-03-06

Language: English

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48

Unknown

Graphs with cycles containing given paths (1977)

Grötschel, Martin

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Publication Date: 2014-02-24

Language: English

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49

Unknown

Polyedrische Charakterisierungen kombinatorischer Optimierungsprobleme (1977)

Grötschel, Martin

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Publication Date: 2014-02-24

Language: English

Type: book , doc-type:book

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50

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Facetten von Matroid-Polytopen (1977)

Grötschel, Martin

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Publication Date: 2014-02-24

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51

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The monotone 2-matching polytope on a complete graph (1977)

Grötschel, Martin

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Publication Date: 2014-02-24

Language: English

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52

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Bemerkungen zur Optimierung ökonomischer Modelle (1977)

Grötschel, Martin ; Korte, Bernhard

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Publication Date: 2014-02-24

Language: English

Type: bookpart , doc-type:bookPart

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53

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Lineare Charakterisierungen von Travelling Salesman Problemen (1977)

Grötschel, Martin ; Padberg, Manfred

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Publication Date: 2014-02-24

Language: English

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