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 Willi Schönauer

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Average citations per article1.13
Citation Count26
Publication count23
Publication years1987-2006
Available for download2
Average downloads per article273.00
Downloads (cumulative)546
Downloads (12 Months)16
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23 results found Export Results: bibtexendnoteacmrefcsv

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1
June 2006 PARA'06: Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Publisher: Springer-Verlag
Bibliometrics:
Citation Count: 0

The Finite Difference Element Method (FDEM) program package is a robust and efficient black-box solver. It solves by a Finite Difference Method arbitrary non-linear systems of elliptic and parabolic partial differential equations under arbitrary non-linear boundary conditions on arbitrary domains in 2-D and 3-D, given by a FEMmesh. From formulas ...
Keywords: black-box solver, error estimate, non-linear PDEs, parallelization, Mesh refinement, finite difference method, unstructured grid

2
September 2003 Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002: Volume 158 Issue 1, 1 September 2003
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

The finite difference element method (FDEM) is a black-box solver for the solution of nonlinear systems of elliptic and parabolic PDEs. An algorithm has been developed to generate on an unstructured FEM grid difference formulas of arbitrary consistency order q . From the difference of difference formulas of different consistency ...
Keywords: error estimate, higher-order method, finite difference method, black-box solver, nonlinear system of PDEs, selfadaptation

3
December 2002 Journal of Scientific Computing: Volume 17 Issue 1-4, December 2002
Publisher: Plenum Press
Bibliometrics:
Citation Count: 1

The FDEM program package is a black-box solver for nonlinear systems of elliptic and parabolic PDEs. A FDM of arbitrary consistency order q on an unstructured basic FEM mesh is used. With the difference formula of order q +2 an error estimate is computed. A sophisticated algorithm has been developed ...
Keywords: higher order, finite difference method, black-box solver, selfadaptation

4
April 2002 Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss: Volume 41 Issue 1, April 2002
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

In the iterative linear solver package LINSOL several generalized conjugate gradient (CG) methods (or, briefly, CG-type methods) with quite different properties are implemented. With these methods polyalgorithms with automatic method switching are constructed. The "emergency exit" that is taken in the worst case is the ATPRES method (which is very ...
Keywords: (I)LU preconditioning, generalized conjugate gradient(CG)methods, polyalgorithms, sparse linear systems, LINSOL, automatic method switching, FIDISOL, software

5
April 2002 Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss: Volume 41 Issue 1, April 2002
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

LINSOL [H. Häfner, W. Schönauer, R. Weiss, in: H. Lederer, F. Hertwick (Eds.), Proceedings of the Fourth European SGI/Cray MPP Workshop, IPP R/46, Max-Planck-Institut für Plasmaphysik, 1998, pp. 242-251], [W. Schönauer, H. Häfner, R. Weiss, in: M. Heath et al. (Eds.), Proceedings of the 8th SIAM Conference on Parallel Processing ...

6
January 2002 Computational science, mathematics and software
Publisher: Purdue University Press
Bibliometrics:
Citation Count: 0

The design of PDE black-box solvers (for nonlinear systems of elliptic and parabolic PDEs) needs many compromises between efficiency and robustness which we call 'Numerical Engineering'. The requirements for a black-box solver are formulated and the way how to meet them is presented, guided by many years of practical experience ...
Keywords: algorithm design and analysis, mathematical software, parallel and vector implementations, efficiency, reliability and robustness

7
June 2001 Journal of Computational and Applied Mathematics: Volume 131 Issue 1-2, June 1, 2001
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 6


8
December 2000 Mathematics and Computers in Simulation - IMACS sponsored special issue: 1999 international symposium on computational sciences, to honor John R. Rice: Volume 54 Issue 4-5, Dec. 15 2000
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

Keywords: efficiency, reliability and robustness, algorithm design and analysis, parallel and vector implementations, G4 mathematical software

9
September 1999 PaCT '999: Proceedings of the 5th International Conference on Parallel Computing Technologies
Publisher: Springer-Verlag
Bibliometrics:
Citation Count: 0

In order to provide generallyap plicable iterative linear solvers for the communityof scientific computing the LINSOL program package has been designed. The focus of this package is on portability, robustness and on an efficient implementation on massivelyp arallel systems. LINSOL uses iterative solvers as basic methods that are state of ...

10
June 1999 Applied Numerical Mathematics - Special issue on iterative methods and preconditioners: Volume 30 Issue 2-3, June 1999
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 4

Keywords: iterative solvers, linear systems, mathematical software, direct solvers
Also published in:
June 1999  IMACS'97: Proceedings on the on Iterative methods and preconditioners

11
June 1999 Applied Numerical Mathematics - Special issue on iterative methods and preconditioners: Volume 30 Issue 2-3, June 1999
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0

Keywords: search direction, generalized CG methods, multilevel
Also published in:
June 1999  IMACS'97: Proceedings on the on Iterative methods and preconditioners

12
December 1995 Applied Numerical Mathematics - Special issue on iterative methods for linear equations: Volume 19 Issue 3, Dec. 1995
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 2


13
June 1994 Scientific Programming: Volume 3 Issue 2, Summer 1994
Publisher: IOS Press
Bibliometrics:
Citation Count: 3

The basic architectures of vector and parallel computers and their properties are presented followed by a discussion of memory size and arithmetic operations in the context of memory bandwidth. For a single operation micromeasurements of the vector triad for the IBM 3090 VF and the CRAY Y-MP/8 are presented, revealing ...

14
June 1994 PARA '94: Proceedings of the First International Workshop on Parallel Scientific Computing
Publisher: Springer-Verlag
Bibliometrics:
Citation Count: 0


15
January 1993 Computer benchmarks
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0


16
December 1991 Parallel Computing: Volume 17 Issue 10-11, December, 1991
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0

As an alternative to benchmarks two other methods for the evaluation of the performance of supercomputers are discussed. Micro-measurements reveal the sources for lost cycles for an individual operation. For this purpose we present measurements of the vector triad for the IBM 3090 VF and CRAY Y-MP. A global performance ...
Keywords: micro-measurements, performance evaluation, Benchmarks, CRAY Y-MP, IBM 3090 VF

17
September 1991 Proceedings of the IFIP TC2/WG 2.5 Working Conference on Programming Environments for High-Level Scientific Problem Solving
Publisher: North-Holland Publishing Co.
Bibliometrics:
Citation Count: 1


18 published by ACM
June 1991 ICS '91: Proceedings of the 5th international conference on Supercomputing
Publisher: ACM
Bibliometrics:
Citation Count: 3
Downloads (6 Weeks): 1,   Downloads (12 Months): 7,   Downloads (Overall): 234

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19
January 1991 Proceedings of a conference on Preconditioned conjugate gradient methods
Publisher: Springer-Verlag New York, Inc.
Bibliometrics:
Citation Count: 1


20
September 1990 CONPAR 90/VAPP IV: Proceedings of the Joint International Conference on Vector and Parallel Processing
Publisher: Springer-Verlag
Bibliometrics:
Citation Count: 0




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