ZIB

1

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A Numerical Algorithm for Computing the Restricted Singular Value Decomposition of Matrix Triplets. (1989)

Zha, Hongyuan

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Publication Date: 2014-02-26

Description: This paper presents a numerical algorithm for computing the restricted singular value decomposition of matrix triplets (RSVD). It is shown that one can use unitary transformations to separate the regular part from a general matrix triplet. After preprocessing on the regular part, one obtains a matrix triplet consisting of three upper triangular matrices of the same dimensions. The RSVD of this special matrix triplet is computed using the implicit Kogbetliantz technique. The algorithm is well suited for parallel computation. {\bf Keywords:} Restricted singular values, matrix triplets, unitary transformations, implicit Kogbetliantz technique.

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2

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On the Possible Accuracy of TVD Schemes. (1989)

Huamo, Wu

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Publication Date: 2014-02-26

Description: The paper presents a detailed analysis of the possible accuracy available for TVD schemes in one dimension with emphasis to the semi-discrete 1-D TVD schemes. The analysis shows that the widely accepted statement [1] of degeneration of accuracy at critical points for TVD schemes should be corrected. We have theorem: TVD schemes using flux limiters $ \varphi $ of the form [1], [2] may be second-order accurate at critical points if $ \varphi $ (3) + $ \varphi $(-1) = 2, but cannot be uniformly second-order accurate in the whole neighborhood of critical point. If $ \varphi $(1) = 1, then the TVD schemes are second-order accurate in the region of smooth solutions sufficiently far from the critical points. Two ways are suggested to improve the accuracy. Numerical example is given. {\bf Keywords:} Semi-discrete schemes, TVD, flux limiter, degeneration of accuracy.

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3

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Numerical Solution of Multicomponent Alloy Solidification by Multi-Grid Techniques. (1989)

Hoppe, Ronald H. W.

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Publication Date: 2014-02-26

Description: The solidification of an $ N $-component alloy is described by an initial boundary value problem for a system of degenerate parabolic equations modelling heat conduction and mass diffusion. Discretizing implicitly in time and by piecewise linear finite elements in the space variables, at each time step the solution of a system of quasivariational inequalities is required. For the numerical solution of that system, a multi-grid algorithm is developed by making use of game theoretic concepts and duality arguments from convex analysis. Finally, the efficiency of the algorithm is demonstrated by displaying numerical results for a ternary alloy.

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4

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KASKADE Programmer's Manual. (1989)

Roitzsch, Rainer

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Publication Date: 2014-02-26

Description: The Programmers Manual contains the documentation of the C-KASKADE implementation. KASKADE is an adaptive finite element code (see SC ). The interfaces of all modules are described.

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5

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Implementation of Portable Standard LISP for the SPARC Processor. (1989)

Melenk, Herbert ; Neun, Winfried

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Publication Date: 2018-12-06

Description: The SPARC processor is a RISC (Reduced Instruction Set Computer) microcomputer, built into the SUN4 workstations. Since RISC processors are very well-suited for LISP processing, the implementation of a dialect of LISP (Portable Standard LISP, PSL) boded well for a great speed-up in comparison with other types of microcomputers. A first approach was done at The RAND Corporation in Santa Monica, which was derived from classical processor types like MC68000 or VAX. At the Konrad- Zuse-Zentrum für Informationstechnik Berlin (ZIB) that initial implementation was redesigned in order to adapt PSL to the specific features of the SPARC processor. The present implementation, in some parts, is very close to Cray PSL version also done in ZIB. Some timing informations are given in the appendix.

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6

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Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems (1989)

Deuflhard, Peter

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Publication Date: 2020-03-06

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7

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Concepts of an adaptive hierarchical finite element code (1989)

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

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Publication Date: 2020-03-06

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8

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Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable (1989)

Deuflhard, Peter ; Wulkow, Michael

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Publication Date: 2020-03-20

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9

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Numerical approaches to treatment planning in deep RF-hyperthermia (1989)

Wust, Peter ; Nadobny, Johanna ; Felix, Roland ; [et al.]

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Publication Date: 2021-03-16

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10

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Via Minimization with Pin Preassignments and Layer Preference (1989)

Grötschel, Martin ; Jünger, Michael ; Reinelt, Gerhard

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Publication Date: 2014-02-24

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11

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Decomposition and Optimization over Cycles in Binary Matroids (1989)

Grötschel, Martin ; Truemper, Klaus

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Publication Date: 2014-02-24

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12

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Master Polytopes for Cycles of Binary Matroids (1989)

Grötschel, Martin ; Truemper, Klaus

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Publication Date: 2014-02-24

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13

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A cutting plane algorithm for a clustering problem (1989)

Grötschel, Martin ; Wakabayashi, Yoshiko

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Publication Date: 2014-02-24

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14

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Homoclinic Bifurcation at Resonant Eigen-values. (1989)

Chow, Shui-Nee ; Deng, Bo ; Fiedler, Bernold

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Publication Date: 2014-02-26

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15

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Two Preconditioners Based on the Multi-Level Splitting of Finite Element Spaces. (1989)

Yserentant, Harry

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Publication Date: 2014-02-26

Description: The hierarchical basis preconditioner and the recent preconditioner of BRAMBLE, PASCIAK and XU are derived and analyzed within a joint framework. This discussion elucidates the close relationship between both methods. Special care is devoted to highly nonuniform meshes; our theory is based exclusively on local properties like the shape regularity of the finite elements.

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16

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KASKADE User's Manual. (1989)

Roitzsch, Rainer

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Publication Date: 2014-02-26

Description: The Users Manual contains an introduction to the usage of the C-KASKADE implementation. KASKADE is an adaptive finite element code (see SC ). The manual includes a description of all commands, a simple recipe to define a new problem by changing the KASKADE source and a complete example.

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17

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Multivariate Rational Interpolation: Reconstruction of Rational Functions. (1989)

Möller, H. Michael

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Publication Date: 2014-02-26

Description: In this paper we consider the problem of reconstructing a multivariate rational function, when only its values at sufficiently many points are known. We use for the reconstruction of bivariate rational functions a bivariate rational interpolation operator investigated by Siemaszko [7] and a new one, compare both by examples in a Computer Algebra system, and present their multivariate generalizations. {\bf Keywords:} Multivariate rational interpolation, reconstruction, symbolic computation.

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18

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Restricted Singular Value Decomposition of Matrix Triplets. (1989)

Zha, Hongyuan

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Publication Date: 2014-02-26

Description: In this paper we introduce the concept of restricted singular values (RSV's) of matrix triplets. A theorem concerning the RSV's of a general matrix triplet $ (A,B,C) $, where $ A \in C^{m\times n} $, $B\in C^{m\times p} $ and $ C\in C^{q\times n} $, which is called restricted singular value decomposition (RSVD) of matrix triplets, is derived. This result generalizes the wellknown SVD, GSVD and the recently proposed product induced SVD (PSVD). Connection of RSV's with the problem of determination of matrix rank under restricted perturbation is also discussed. {\bf Keywords:} Matrix rank, singular values, generalized singular values, product induced singular values, restricted singular values, matrix decompositions.

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19

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On Adaptive Grid Refinement in the Presence of Internal or Boundary Layers. (1989)

Kornhuber, Ralf ; Roitzsch, Rainer

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Publication Date: 2014-02-26

Description: We propose an anisotropic refinement strategy which is specially designed for the efficient numerical resolution of internal and boundary layers. This strategy is based on the directed refinement of single triangles together with adaptive multilevel grid orientation. It is demonstrated by several numerical examples that compared to usual methods, the new anisotropic refinement ends up in more stable and more accurate solutions at much less computational cost. {\bf Keywords:} Adaptive finite elements, directed refinement, adaptive grid orientation, convection diffusion equation, internal and boundary layers.

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20

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Computation of Molecular Weight Distributions for Free Radical Polymerization Systems. (1989)

Budde, Uwe ; Wulkow, Michael

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Publication Date: 2014-02-26

Description: Modeling of free radical polymerization leads to very large and usually stiff systems of ordinary differential equations which cannot be solved directly in an efficient way. This paper presents the application of a new approach called discrete Galerkin method to a realistic example - the polymerization of methyl methacrylate(MMA). The method is characterized by a Galerkin approximation on the basis of orthogonal polynomials of a discrete variable which represents the polymer degree. It allows the efficient computation of solutions of complete kinetic schemes with time- or moment-dependent reaction coefficients by reducing the complexity to a few differential equations. The approximation error can be controlled by an error estimation. In the case of MMA polymerization a reduction of computational effort by a factor of about 25 compared to a standard method can be obtained for the quasi-steady-state approximation of the model. In addition solutions of the instationary kinetic scheme can be easily computed.

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21

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MmB-A New Class of Accurate High Resolution Schemes for Conservation Laws in Two Dimensions. (1989)

Huamo, Wu ; Shuli, Yang

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Publication Date: 2014-02-26

Description: In this paper we present the MmB schemes, which preserve the local maximum and minimum bounds of the initial data in the smallest union of mesh elements of previous time step containing the domain of dependence of the solution on the mesh element with center at point $ P $\ under consideration. In 1-D, the MmB schemes are almost identical with TVD schemes. As well-known, there is no second-order TVD scheme in 2-D, nevertheless, we present here two classes of 2-D second-order accurate MmB-schemes. It is proved that 1-D discrete MmB (or TVD) and 1-D semi-discrete TVD schemes may have second-order accuracy at (nonsonic) critical points, but cannot be of uniformly second-order accurate in the whole neighborhood of the critical points. New accurate high resolution flux limiters are suggested. Numerical results for 1-D and 2-D test problems are given. {\bf Keywords:} Difference scheme, TVD, MmB, flux limiter.

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22

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Adaptive multilevel discretization in time and space for parabolic partial differential equations. (1989)

Bornemann, Folkmar A.

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Publication Date: 2014-02-26

Description: The present paper developes an adaptive multilevel approach for parabolic PDE's - as a first step, for one linear scalar equation. Full adaptivity of the algorithm is conceptually realized by simultaneous multilevel discretization in both time and space. Thus the approach combines multilevel time discretization, better known as extrapolation methods, and multilevel finite element space discretization such as the hierarchical basis method. The algorithmic approach is theoretically backed by careful application of fundamental results from semigroup theory. These results help to establish the existence of asymptotic expansions (in terms of time-steps) in Hilbert space. Finite element approximation then leads to perturbed expansions, whose perturbations, however, can be pushed below a necessary level by means of an adaptive grid control. The arising space grids are not required to satisfy any quasi- uniformity assumption. Even though the theoretical presentation is independent of space dimension details of the algorithm and numerical examples are given for the 1-D case only. For the 1-D elliptic solver, which is used, an error estimator is established, which works uniformly well for a family of elliptic problems. The numerical results clearly show the significant perspectives opened by the new algorithmic approach.

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23

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Ingenieurmäßige Berechnung der Feldausbreitung in optischen Bauelementen der Lichtwellenleitertechnik (1989)

Schmidt, Frank

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Publication Date: 2022-07-07

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Type: doctoralthesis , doc-type:doctoralThesis

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24

Book

Extended formulations and polyhedral projection / (1989)

Liu, Weiguo

Ottawa :National Library of Canada; Canadian Theses Service,

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Title: Extended formulations and polyhedral projection /

Author: Liu, Weiguo

Publisher: Ottawa :National Library of Canada; Canadian Theses Service,

Year of publication: 1989

Pages: VIII, 187 S.

Dissertation note: University of Waterloo, Ph. Thesis, 1989

ISBN: 0-31545297-8

Type of Medium: Book

Language: English

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Zuse Institute Berlin

25

Book

DECOMP: an implementation of Dantzig-Wolfe decomposition for linear programming /; 338 (1989)

Ho, James K. ; Sundarraj, Rangaraja P.

New York [u.a.] :Springer,

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Title: DECOMP: an implementation of Dantzig-Wolfe decomposition for linear programming /; 338

Author: Ho, James K.

Contributer: Sundarraj, Rangaraja P.

Publisher: New York [u.a.] :Springer,

Year of publication: 1989

Pages: VI, 206 S.

Series Statement: Lecture notes in economics and mathematical systems 338

ISBN: 0-387-97154-8 , 3-540-97154-8

Type of Medium: Book

Language: English

URL: https://zbmath.org/?q=an:0688.90035

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Zuse Institute Berlin

26

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Recent Progress in Extrapolation Methods for Ordinary Differential Equations (1985)

Deuflhard, Peter

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Publication Date: 2020-03-06

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27

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Numerical Identification of Selected Rate Constants in Large Chemical Reaction Systems (1985)

Nowak, Ulrich ; Deuflhard, Peter

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Publication Date: 2020-12-14

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28

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Facets of the Bipartite Subgraph Polytope (1985)

Barahona, Francisco ; Grötschel, Martin ; Mahjoub, Ali

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Publication Date: 2014-02-24

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29

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Solving matching problems with linear programming (1985)

Grötschel, Martin ; Holland, Olaf

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Publication Date: 2014-02-24

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30

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Acyclic subdigraphs and linear orderings (1985)

Grötschel, Martin ; Jünger, Michael ; Reinelt, Gerhard

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Publication Date: 2014-02-24

Language: English

Type: conferenceobject , doc-type:conferenceObject

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31

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On the acyclic subgraph polytope (1985)

Grötschel, Martin ; Jünger, Michael ; Reinelt, Gerhard

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Publication Date: 2014-02-24

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32

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Facets of the linear ordering polytope (1985)

Grötschel, Martin ; Jünger, Michael ; Reinelt, Gerhard

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Publication Date: 2014-02-24

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33

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Polyhedral theory (1985)

Grötschel, Martin ; Padberg, Manfred

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Publication Date: 2020-10-05

Language: English

Type: bookpart , doc-type:bookPart

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34

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The Travelling Salesman Problem for Graphs not Contractible to K_5 - e (1985)

Barahona, Francisco ; Grötschel, Martin

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Publication Date: 2014-02-24

Language: English

Type: report , doc-type:report

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35

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Polyhedral computations (1985)

Padberg, Manfred ; Grötschel, Martin

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Publication Date: 2021-02-01

Language: English

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36

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An Advanced Simulation Package for Large Chemical Reaction Systems (1985)

Bader, G. ; Nowak, Ulrich ; Deuflhard, Peter

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Publication Date: 2020-12-14

Language: English

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37

Book

Mathematical programming : essays in honor of George B. Dantzig part I; 24 (1985)

Cottle, Richard W. [[Hrsg.]]

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Title: Mathematical programming : essays in honor of George B. Dantzig part I; 24

Contributer: Cottle, Richard W.

Year of publication: 1985

Pages: XIII, 352 S.

Series Statement: Mathematical programming 24

Type of Medium: Book

Language: English

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Zuse Institute Berlin

38

Book

Mathematical programming : essays in honor of George B. Dantzig part II; 25 (1985)

Cottle, Richard W. [[Hrsg.]]

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Title: Mathematical programming : essays in honor of George B. Dantzig part II; 25

Contributer: Cottle, Richard W.

Year of publication: 1985

Pages: XIII, 171 S.

Series Statement: Mathematical programming 25

Type of Medium: Book

Language: English

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Zuse Institute Berlin

39

Book

Numerical simulation of combustion phenomena /; 241 (1985)

Glowinski, Roland [[Hrsg.]] ; Larrouturou, Bernard [[Hrsg.]]

Berlin [u.a.] :Springer,

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Title: Numerical simulation of combustion phenomena /; 241

Contributer: Glowinski, Roland , Larrouturou, Bernard , Symposium on Numerical Simulation of Combustion Phenomena 〈1985, Sophia Antipolis〉 , Institut National de Recherche en Informatique et en Automatique 〈Rocquencourt〉 / Centre 〈Sophia Antipolis〉

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

Year of publication: 1985

Pages: IX, 404 S. : , graph. Darst.

Series Statement: Lecture notes in physics 241

ISBN: 3-540-16073-6

Type of Medium: Book

Language: English

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Zuse Institute Berlin

40

Book

Economic equilibrium: model formulation and solution /; 23 (1985)

Manne, A. S.

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Title: Economic equilibrium: model formulation and solution /; 23

Author: Manne, A. S.

Year of publication: 1985

Pages: VII, 258 S.

Series Statement: Mathematical programming at Oberwolfach 23

Type of Medium: Book

Language: English

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Zuse Institute Berlin

41

Book

Linear programming : basic theory and applications (1985)

Swanson, Leonard W.

Tokyo [u.a.] :McGraw-Hill,

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Title: Linear programming : basic theory and applications

Author: Swanson, Leonard W.

Edition: 2. printing

Publisher: Tokyo [u.a.] :McGraw-Hill,

Year of publication: 1985

Pages: XII, 218 S. : Ill.

Series Statement: McGraw-Hill series in quantitative methods for management

ISBN: 0-07-062580-8

Type of Medium: Book

Language: English

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Zuse Institute Berlin

42

Unknown

Stimulierte Brillouinstreuung in Germanium bei 10.6 μ (1968)

Deuflhard, Peter

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Publication Date: 2020-03-06

Language: English

Type: doctoralthesis , doc-type:doctoralThesis

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43

Unknown

Intensity Limiting and Stimulated Brillouin Scattering in Germanium (1968)

Asam, P. ; Deuflhard, Peter ; Kaiser, Wolfgang

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Publication Date: 2020-04-30

Language: English

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