Technische Universität München, Fakultät für Informatik

Forschungs- und Lehreinheit Informatik V

Lehrstuhl für Informatik mit Schwerpunkt Wissenschaftliches Rechnen
Scientific Computing in Computer Science

Zeitschriftenartikel und Buchbeiträge

2004

Th. Huckle, S. Serra-Capizzano
The spectra of preconditioned Toeplitz matrix sequences can have gaps.
In SIMAX vol. 25 (4), 930--946, 2004,
Th. Huckle
Jüdische Mathematiker im "Dritten Reich".
In: Dirk Reitz (Hsg): "Exodus der Wissenschaft und der Literatur", Bd. 88 der TUD-Schriftenreihe "Wissenschaft und Technik" hg. v. Präsidenten der TU Darmstadt, 2004, pp. 207-228
M. Emans, C. Zenger
An efficient method for the prediction of the motion of individual bubbles.
International Journal of Computational Fluid Dynamics, accepted
F. Günther, M. Mehl, M. Pögl, C. Zenger
A cache-aware algorithm for PDEs on hierarchical data structures based on space-filling curves
SIAM Journal on Scientific Computing, in review
D. Chibisov, V. Ganzha, Chr. Zenger
Object oriented finite element calculations using Maple
In: Selcuk Journal of Applied Mathematics 4 (1), 2003, pp. 58-86

2003

S. Achatz
Higher Order Sparse Grid Methods for Elliptic Partial Differential Equations with Variable Coefficients
In: Computing 71 (1), 2003, pp. 1-15
Th. Huckle
Factorized Sparse Approximate Inverses for Preconditioning
Journal of Supercomputing 25 (2), 2003, pp. 109-117
Th. Huckle, S. Serra-Capizzano, Cr. Tablino-Possio
Preconditioning strategies for Hermitian nondefinite Toeplitz linear systems.
SISC 25 (5), 1633-1654
Th. Huckle, R. Fischer
Using $\omega$-circulant matrices for the preconditioning of Toeplitz systems
Selcuk Journal vol. 4 (2), pp. 71-88
D. Chibisov, V. Ganzha, Chr. Zenger
Object oriented finite element calculations using Maple
In: Selcuk Journal of Applied Mathematics 4 (1), 2003, pp. 58-86

2002

Th. Huckle, J. Staudacher:
Matrix Multilevel Methods and Preconditioning
In: BIT 42 (3), 2002, pp. 541-560
Th. Huckle, J. Staudacher:
Multigrid Preconditioning and Toeplitz Matrices
Electronic Transactions on Numerical Analysis, Vol. 13, 2002, pp. 81-105
Th. Huckle, J. Staudacher:
A new optimal order preconditioner for high-resolution image reconstruction with multisensors
Selcuk Journal of Applied Mathematics, Vol. 3(2), 2002, pp. 49-64
M. Bader, A.C. Frank, Chr. Zenger:
An Octree-Based Approach for Fast Elliptic Solvers
In: High Performance Scientific and Engineering Computing, pp. 157-166, Reihe: Lecture Notes in Computational Science and Engineering 21, Eds.: M. Breuer et.al.: Springer 2002

2001

M. Bader, Chr. Zenger:
A Robust and Parallel Multigrid Method for Convection Diffusion Equations
In: Virtual Proceedings CMCMMa
V. Ganzha, D. Chibisov, E. Voronzutsov:
Problem Solving for Scientific Computing: Data Modelling instead of Algorithms?
In: Selcuk Journal of Applied Mathematics 2 (2), 2001, pp. 53-72
V. Ganzha, E. Voronzutsov:
Stability Investigation of Runge-Kutta Scheme with Artificial Dissipator on Curvelinear Grids for the Euler Equations
In: Mathematics and Computers in Simulation, 58, 2001, pp. 1-35

2000

H.-J. Bungartz, M. Kuehn, M. Mehl, M. Hausner, S. Wuertz:
Fluid Flow and Transport in Defined Biofilms: Experiments and Numerical Simulations on a Microscale.
Water Science and Technology 41 (4-5), 2000, pp. 331-338
Ganzha, V.G.; Vorozhtsov, E.V.:
Diagram Design and Analysis of Aerodynamics Problems with Mathematica.
Selcuk Journal of Applied Mathematics Vol. 1, No. 1, 2000, 21-46.
Th. Huckle:
Factorized Sparse Approximate Inverses for Preconditioning and Smoothing.
In: Selcuk Journal of Applied Mathematics 1 (1), 2000, Sonderheft zum 60. Geburtstagvon Prof. Chr. Zenger, pp. 63-70.
A. Lucic, F. Meier, H.-J. Bungartz, F. Mayinger, Chr. Zenger:
Numerical simulation and experimental studies of the fluid-dynamic behaviour of rising bubbles in stagnant and flowing liquids
In: Lectures on Applied Mathematics, Springer Berlin Heidelberg New York, 2000.

1999

H.-J. Bungartz, M. Griebel:
A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives
In: Journal of Complexity, 15, 1999, pp. 167-199
T. Belling, T. Grauschopf, S. Krueger, M. Mayer, F. Noertemann, M. Staufer, Chr. Zenger, N. Roesch:
Quantum Chemistry on Parallel Computers: Concepts and Results of a Density Functional Model
In: High Performance Scientific and Engineering Computing, Nr.8, pp. 441-455, Reihe: Lecture Notes in Computational Science and Engineering, Eds.: H.-J. Bungartz, F. Durst, Chr. Zenger, Springer, Berlin Heidelberg
H.-J. Bungartz, A. Frank, F. Meier, T. Neunhoeffer, S. Schulte:
Efficient Treatment of Complicated Geometries and Moving Interfaces for CFD Problems
In: High Performance Scientific and Engineering Computing, Nr.8, pp. 113-123, Reihe: Lecture Notes in Computational Science and Engineering, Eds.: H.-J. Bungartz, F. Durst, Chr. Zenger, Springer, Berlin Heidelberg
H.-J. Bungartz, Chr. Zenger:
Error control for adaptive sparse grids
In: Error Control and Adaptivity in Scientific Computing, pp. 125-157, Eds.: H. Bulgak and Chr. Zenger, Kluwer Academic Publishers.
R. Ebner, Chr. Zenger:
A Distributed Functional Framework for Recursive Finite Element Simulations
In: Parallel Computing, 25 (7), 1999, pp. 813-826.
V.G. Ganzha, E.V. Vorozhtsov:
Application of Computer Algebra Systems for Stability Analysis of Difference Schemes on Curvilinear Grids
In: Journal of Symbolic Computation, 28, 1999, pp. 401-433.
V. Ganzha, E. Vorozhtsov:
Parallel implementation of stability analysis of difference schemes with Mathematica
In: Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods. Part 4, Nr.258, pp. 231-255, Eds.: N. Vasil'ev and A. Vershik.
Th. Huckle:
Approximate Sparsity Patterns for the Inverse of a Matrix and Preconditioning
In: Applied Numerical Mathematics, 30, 1999, pp. 291-303.

1998

M. Backschat:
A novel economic-based Approach to Dynamic Load Distribution on Large Heterogeneous Computer Networks
In: Parallel Computing: Fundamentals, Applications and New Directions, vol. 12, Reihe: Advances in Parallel Computing, Eds.: E.H. D'Hollander, G.R. Joubert.
H. Bungartz, Chr. Zenger:
Wissenschaftlisches Rechnen, eine interdisziplinäre Disziplin
In: aviso 1/98, Zeitschrift für Wissenschaft und Kunst in Bayern
R. Ebner, A. Pfaffinger:
Higher Level Programming and Efficient Automatic Parallelization: A Functional Data Flow Approach with FASAN
In: Parallel Computing: Fundamentals, Applications and New Directions, vol. 12, Reihe: Advances in Parallel Computing, Eds.: E.H. D'Hollander, G.R. Joubert, F.J. Peters, U. Trottenberg, Elsevier Science Publishers, Amsterdam.
Th. Huckle:
Efficient Computation of Sparse Approximate Inverses
In: Num. Lin. Alg. Appl., 5 (1), 1998, pp. 57-71.
Th. Huckle:
Superfast Solution of Linear Equations with Low Displacement Rank
In: High Performance Algorithms for Structured Matrix Problems, pp. 149-162, Eds.: P. Arbenz, M. Paprzycki, A. Sameh.
Th. Huckle:
Computations with Gohberg-Semencul Formulas for Toeplitz Matrices
In: Linear Alg. Appl., 271, 1998, pp. 169-198
Th. Huckle:
Symmetric Gaussian Elimination for Cauchy-type Matrices with Application to Positive Definite Toeplitz Matrices
In: Numerische Mathematik NUMMA, 79 (2), 1998, pp. 213-229.
M. Kühn, M. Hausner, H.-J. Bungartz, M. Wagner, P. A. Wilderer, S. Würtz:
Automated confocal laser scanning microscopy and semi-automated image processing for analysis of biofilms
In: J. Applied and Environmental Microbiology, 64 (11), 1998, pp. 4115-4127 F.J. Peters, U. Trottenberg, Elsevier Science Publishers, Amsterdam.

1997

M. Backschat, A. Pfaffinger:
Economic-Based Dynamic Load Distribution in Large Workstation Networks
In: Dynamic Load Distribution for Parallel Applications, vol. 24, pp. 90-102, Reihe: Teubner-Texte zur Informatik, Eds.: T. Schnekenburgen, G. Stellner, Teubner, Stuttgart, 1997
H.-J. Bungartz:
A multigrid algorithm for higher order finite elements on sparse grids
In: ETNA, 6, 1997, pp. 63-77
M. Grote, Th. Huckle:
Parallel preconditioning with sparse approximate inverses
In: SIAM J. Sci. Comput., 18 (3), 1997

1996

R. Balder, Chr. Zenger:
The Solution of Multidimensional Real Helmholtz Equations of Sparse Grids
In: SIAM J. Sci. Comp. 17 (3), 1996, pp. 631-646
H.-J. Bungartz, M. Griebel, D. Röschke, Chr. Zenger:
A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation
In: Mathematics and Computers in Simulation, 42, 1996
T. Dornseifer, C. Pflaum:
Elliptic Differential Equations on Curvilinear Bounded Domains with Sparse Grids.
In: Computing, 56 (3), 1996, pp. 197-213
Th. Dornseifer, T. Neunhoeffer:
Numerische Simulation in der Lehre
In: TUM-Mitteilungen, 2, 1996
V. Ganzha, E. Vorozhtsov:
Symbolic-numerical computation of the stability regions for Jameson's schemes
In: Mathematics and Computers in Simulation, 42, 1996, pp. 607-615
M. Griebel, T. Neunhoeffer:
Parallel point- and domain-oriented multilevel methods for elliptic PDE's on workstation networks.
In: Journal of Computational and Applied Mathematics, 66, 1996, pp. 267-278

1995

V. Ganzha, E. Vorozhtsov, B. Scobelev:
Symbolic-numerical method for the stability analysis of difference schemes on the basis of the catastrophe theory.
In: J.Comput. Phys., 116 (1), 1995 pp. 26-38
H.-J. Bungartz, S. Schulte, A. Maurer:
Modular Solution Approach for Simulation of Coupled Physical Phenomena
In: Simulation and Design of Microsystems and Microstructures, pp. 201-210, Reihe: Computational Mechanics Publications, Eds.: Adey, R.A.; A. Lahrmann; Leßmölmann
M. Griebel:
Parallel domain-oriented multilevel methods.
In: SIAM Journal of Scientific Computing: SISC, 16 (5), 1995, pp. 1105-1125
M. Griebel, V. Thurner:
The efficient solution of fluid dynamics problems by the combination technique.
In: Int. J. Num. Meth. for Heat and Fluid Flow, 5, 1995 , pp. 51-269
M. Griebel, P. Oswald:
Tensor-product-type subspace splittings and multilevel iterative methods for anisotropic problems.
In: Advances in Computational Mathematics, 4, 1995, pp. 171-206
M. Griebel, P. Oswald:
On the abstract theory of additive and multiplicative Schwarz algorithms.
In: Numerische Mathematik: NUMMA7, 70, (1), 1995, pp. 163-180
C. Pflaum:
Interpolations-, Approximations- und Kombinationseigenschaften dünner Gitter.
In: Zeitschrift für angewandte Mathematik und Mechanik: ZAMM, 70, pp. 699-700

1994

H.-J. Bungartz, M. Griebel, U. Rüde:
Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems.
In: Analysis, algorithms, and applications of spectral and high order methods for partial differential equations, pp. 243-252, Eds.: Bernardi, C. et. al., North-Holland, Amsterdam
H.-J. Bungartz, M. Griebel, D. Röschke, Chr. Zenger:
Pointwise Convergence of the Combination Technique for the Laplace Equation.
In: East-West Journal of Numerical Mathematics, 2, (1) 1994, pp. 21-45
V. Ganzha, E. Vorozhtsov:
On the stability of Jameson schemes.
In: Bridging Mind and Model: Papers in Applied Mathematics, pp. 237-300, Eds.: P.J. Costa, Verlag: St. Thomas, Technology Press, St. Paul, MN, USA
M. Griebel:
Multilevel algorithms considered as iterative methods on semidefinite systems
In: SIAM Int. J. Sci. Stat. Comput., 15, (3) 1994, pp. 547-565
M. Griebel, P. Oswald:
On additive Schwarz preconditioners for sparse grid discretization
In: Numer. Math., 66, (4), 1994, pp. 449-464, (auch als Bericht Math/92/7, Institut für angewandte Mathematik, Friedrich-Schiller-Universität Jena, 1992)
S. McCormick, U. Rüde:
A finite volume convergence theory for the fast adaptive composite grid method.
In: Appl. Numer. Math., 14, 1994, pp. 91-103
U. Rüde:
On the multilevel adaptive iterative method.
In: SIAM Journal of Scientific Computing: SISC, 15 (3), 1994,, pp. 577-586

1993

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

1992

M. Griebel:
The combination technique for the sparse grid solution of PDEs on multiprocessor machines
In: Parallel Processing Letters, 2 (1), 1992, pp. 61-70, (auch als SFB Bericht 342/14/91 A, Institut für Informatik, TU München, 1991)

1989

Babuska, M. Griebel, J. Pitkaranta:
The problem of selecting the shape functions for a p-type finite element
In: Int. J. Num. Meth. Engin., 28, 1991, pp. 1891-1908, (auch als Report MD88-36-IB-MG-JP, TR88-36, University of Maryland, IPST, College Park, 1988)

1988

R. Fößmeier, U. Rüde, C. Zenger:
Betriebssystem- und Software-Engineering-Aspekte bei parallelen Algorithmen
In: Kerntechnik, Independent Journal for Nuclear Engineering, Energy Systems and Radiation, 52 (2), 1988, Carl Hanser Verlag, München

1987

V. Ganzha, E. Vorozhtsov:
The stability analysis of difference schemes by numerical solution of the generalized Routh-Hurwitz problem.
In: Computer Physics Communications, 43 (2), 1987, pp. 209-216

1986

E. Vorozhtsov, V. Ganzha, S. Masurik:
Symbolisch-numerisches Interface in den Problemen der Stabilitaetsuntersuchung der Differenzenschemata auf dem Computer.
In: Numerische Verfahren der Strömungsmechanik, Nowosibirsk, 17 (5), pp. 43-58, (Russisch)

1985

V. Ganzha, S. Mazurik, V. Shapeev:
Symbolic manipulations on a computer and their applications to generation and investigation of difference schemes.
In: Lecture Notes in Computer Science, 204, 1985, pp. 335-347, Springer, Berlin, Heidelberg

1984

V. Ganzha, A. Waliullin, V. Iljin, W. Schapeew, N. Janenko:
Die Aufgabe der automatischen Herleitung und Untersuchung auf dem Computer von Differenzenschemata in analytischer Form.
In: Dokl. AN SSSR, 275 (3), 1984, pp. 528-532, (Russisch)

1983

V. Ganzha:
Anwendung rechnergestützter Symbolmanipulationen auf die Bestimmung der Differentialnäherungen von Differenzenschemata.
In: Numerische Verfahren der Strömungsmechanik, Nowosibirsk, 14 (2), 1983 pp.39-44, (Russisch)

1981

V. Ganzha, S. Meleschko, F. Mursin, W. Schapeew, N. Janenko:
Rechnergestützte Implementierung eines Algorithmus für Verträglichkeitsuntersuchung von partiellen Differentialgleichungen.
In: Dokl. Akad. Nauk SSSR, 261 (5), 1981, (Russisch)

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