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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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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ZIB Catalog

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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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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27

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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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28

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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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29

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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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30

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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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31

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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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32

Unknown

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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33

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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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34

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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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35

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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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36

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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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37

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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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38

Unknown

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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39

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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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40

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

41

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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42

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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43

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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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44

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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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45

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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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46

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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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47

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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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48

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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

Type: article , doc-type:article

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49

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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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50

Unknown

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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51

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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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52

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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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53

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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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54

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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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55

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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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56

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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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57

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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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58

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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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59

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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

Type: conferenceobject , doc-type:conferenceObject

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60

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

61

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

62

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

63

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

64

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

65

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

66

Book

Topological vector spaces and algebras /; 230 (1971)

Waelbroeck, Lucien

Berlin [u.a.] :Springer,

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Title: Topological vector spaces and algebras /; 230

Author: Waelbroeck, Lucien

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

Year of publication: 1971

Pages: VI, 158 S.

Series Statement: Lecture notes in mathematics 230

ISBN: 3-540-05650-5 , 0-387-05650-5

Type of Medium: Book

Language: English

URL: https://zbmath.org/?q=an:0225.46001

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