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Volume 1993


Publications of the Department


Articles in Proceedings

  • M. Griebel, W. Huber, U. Rüde and T. Störtkuhl: A fast Poisson solver for turbulence simulation on parallel computers using sparse grids [BibTeX].
    In E.H. Hirschel (ed.), Flow Simulation with High-Performance Computers I, Volume 38 of Notes on Numerical Fluid Mechanics, p. 101–113. Vieweg, Braunschweig, 1993.
  • M. Griebel, W. Huber and C. Zenger: A Fast Poisson Solver for Turbulence Simulation on Parallel Computers using Sparse Grids [BibTeX].
    In DFG Priority Research Programme, Results 1989-1992, Volume 38 of Notes on Numerical Fluid Mechanics. Vieweg, 1993.
  • T. Bonk: A New Algorithm for Multi-Dimensional Adaptive Numerical Quadrature [BibTeX].
    In W. Hackbusch (ed.), Proceedings of the 9th GAMM Seminar, Kiel, January 22--24. Vieweg, Braunschweig, 1993.
  • V. Ganzha and E. Vorozhtsov: A probabilistic symbolic-numerical method for the stability analysis of difference schemes for PDEs [BibTeX].
    In M. Bronstein (ed.), Proceedings of the 1993 Internat. Sympos. on Symbolic and Algebraic Computation, July 6-8, 1993, Kiev, Ukraine, p. 9–13. ACM Press, New York, 1993.
  • M. Griebel and S. Zimmer: Adaptive Point Block Methods [BibTeX].
    In Adaptive Methods - Algorithms, Theory and Applications, Proceedings of the Ninth GAMM-Seminar Kiel 22.-24. 1. 1993, Volume 46 of Notes on Numerical Fluid Mechanics, p. 46, 1993.
  • V. Ganzha, M. Shashkov and A. Solovyov: Algorithms for operations with difference operators and grid functions in symbolic form [BibTeX].
    In Ibid, p. 63–69, 1993.
  • W. Blum, V. Ganzha and W. Stampp: An introduction to ODEs by CAS [BibTeX].
    In Ibid, p. 231–236, 1993.
  • V. Ganzha, S. Meleshko and V. Shapeev: Automation of compatibility analysis of quasilinear PDE systems with the aid of the REDUCE system [BibTeX].
    In Ibid, p. 89–95, 1993.
  • M. Griebel: Grid- and point-oriented multilevel algorithms [BibTeX].
    In W. Hackbusch and G. Wittum (ed.), Incomplete Decompositions (ILU) - Algorithms, Theory, and Applications, Volume 41 of Notes on Numerical Fluid Mechanics, p. 32–46. Vieweg, Braunschweig, 1993.
  • M. Griebel, W. Huber, T. Störtkuhl and C. Zenger: On the parallel solution of 3D PDEs on a network of workstations and on vector computers [BibTeX].
    In A. Bode and M. Dal Cin (ed.), Computer Architecture: Theory, Hardware, Software, Applications of Lecture Notes in Computer Science. Springer-Verlag, 1993.
  • M. Griebel: Sparse grid multilevel methods, their parallelization and their applications to CFD [BibTeX].
    In J. Häser (ed.), Parallel Computational Fluid Dynamics, Volume 92, p. 161–174. New Brunswick, Elsevier, USA, 1993.
  • V. Ganzha, E. Vorozhtsov and R. Liska: Stability analysis of difference initial-value problems with the aid of the REDUCE system [BibTeX].
    In V. Ganzha, V. Rudenko and E. Vorozhtsov (ed.), Computer Algebra and Its Applications to Mechanics, p. 31–41. Nova Science Publishers, New York, 1993.
  • V. Ganzha and E. Vorozhtsov: Symbolic-numerical computation of the stability regions for Jameson's schemes [BibTeX].
    In G. Jacob, N.E. Oussous and S. Steinberg (ed.), Proceedings of the Internat. IMACS Sympos. on Symbolic Computation, June 14-17, 1993, Lille, France, p. 241–246. IMACS, Lille, 1993.
  • U. Gärtel, M. Griebel, W. Huber and H. Schwichtenberg: The parallel ASMG algorithm for 3D poisson-like equations on multi-workstations [BibTeX], 1993.

Articles in Journals

  • M. Griebel, C. Zenger and S. Zimmer: Multilevel Gauss-Seidel-Algorithms for Full and Sparse Grid Problems [BibTeX].
    In Computing, Volume 50, p. 127–148, 1993.
  • M. Griebel and V. Thurner: Solving CFD-problems efficiently by the combination method [BibTeX].
    In CFD-News, Volume 3(4), p. 19–31, 1993.

Proceedings and Journals

  • V. Ganzha, V.M. Rudenko and E. Vorozhtsov (ed.): CAAM-90 International Seminar on Computer Algebra and Its Applications to Mechanics [BibTeX]. Nova Science Publishers, 1993.

Talks and Presentations

  • H.-J. Bungartz: Two Proofs of Convergence for the Combination Technique for the Efficient Solution of Sparse Grid Problems [BibTeX].
    7. International Conference on Domain Decomposition Techniques in Science and Engineering, State College, PA, October 1993.
  • H.-J. Bungartz: Theorie und Anwendungen dünner Gitter [BibTeX], Siemens AG, Erlangen, July 1993.
  • H.-J. Bungartz: A Proof of Convergence for the Combination Technique for the Laplace Equation Using Tools of Symbolic Computation [BibTeX].
    IMACS International Symposium on Symbolic Computation, Lille, June 1993.

Habilitations and Dissertations

  • U. Rüde: Mathematical and computational techniques for multilevel adaptive methods [BibTeX].
    Volume 13 of Frontiers in Applied Mathematics.
    Habilitationsschrift, TU München. SIAM, Philadelphia, 1993.

Diploma Theses, Master Theses and Bachelor Theses

  • S. Scheuren: Die Generierung von botanischen Bäumen auf einem CAD-System [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • E. Bensch: Ein Navier-Stokes-Löser in Fortran 90 [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • T. Teger: Flächengoemetrische Strukturierung dreidimensionaler Abtastdaten [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • A. Jung: Integration von Dünn-Gitter-Techniken in Par-Nsflex [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • S. Mayer: Minimierung und Visualisierung ortsmodifizierter dünner Gitter [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • K. Hiller: Repräsentation des digitalen Höhenmodells Bayern mit Hilfe dünner Gitter [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • S. Ziel: Repräsentation mehrdimensionaler Funktionen in balancierten Bäumen [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • R. Krappweis: Schattierung von Flächen mit Hilfe spezieller Flächenkurven [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • G. Chmiel: Sortierung beliebiger ebener Punktmengen unter Ausnutzung einer Nachbarschaftsrelation mit anschließender Glättung durch kubische Splines [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.
  • F. Mengedoht: Visualisierung der Kombinationsmethode [] [BibTeX].
    Diplomarbeit, Fakultät für Informatik, Technische Universität München, 1993.

Technical Reports

  • H.-J. Bungartz, M. Griebel, D. Röschke and C. Zenger: A Proof of Convergence for the Combination Technique for the Laplace Equation Using Tools of Symbolic Computation [] [BibTeX].
    Volume 342/4/93 of SFB-Bericht, 1993.
  • C. Pflaum: Convergence of the Combination Technique for the Finite Element Solution of Poisson's Equations [] [BibTeX].
    Volume 342/14/93 of SFB-Bericht, 1993.
  • U. Rüde: Extrapolation Techniques for Constructing Higher Order Finite Element Methods [] [BibTeX].
    Volume I9304 of TUM, 1993.
  • C. Pflaum and U. Rüde: Gauß' Aaptive Relaxation for the Multilevel Solution of Partial Differential Equations on Sparse Grids [] [BibTeX].
    Volume 342/13/93 of SFB-Bericht, 1993.
  • H. Regler and U. Rüde: Layout Optimisation with Algebraic Multigrid Methods [] [BibTeX].
    Volume 342/11/93 of SFB-Bericht, 1993.
  • U. Rüde: Multilevel, Extrapolation and Sparse Grid Methods [] [BibTeX].
    Volume 342/10/93 of SFB-Bericht, 1993.
  • H.-J. Bungartz, M. Griebel, D. Röschke and C. Zenger: Pointwise Convergence of the Combination Technique for Laplace's Equation [] [BibTeX].
    Volume 342/16/93 of SFB-Bericht, 1993.
  • M. Griebel and P. Oswald: Remarks on the Abstract Theory of Additive and Multiplicative Schwarz Algorithms [BibTeX].
    Volume 342/6/93 of SFB-Bericht, 1993.
  • M. Griebel and V. Thurner: The Efficient Solution of Fluid Dynamics Problems by the Combination Technique [BibTeX].
    Volume 342/1/93 of SFB-Bericht, 1993.
  • U. Gärtel, M. Griebel, W. Huber, H. Schwichtenberg, T. Störtkuhl, U. Trottenberg, G. Winter and C. Zenger: The parallel ASMG algorithm for 3D Poisson-like equations on multi-workstations [BibTeX].
    In Arbeitspapiere der GMD 767, 1993.
  • P. Slavkovsky: The Visibility Problem for Single-Valued Surface (z=f(x,y)): The Analysis and Parallelisation of Algorithms [BibTeX].
    Volume 342/9/93 of SFB-Bericht, 1993.