PD. Dr. Stephan Dahlke


DFG-Projekt "Adaptive Multiskalen-Methoden"

Stephan Dahlke - Veröffentlichungen und Reports

Aus urheberrechtlichen Gründen sind hier nur die Preprint-Versionen aufgeführt. Für die endgültige, publizierte Fassung der jeweiligen Arbeit sei auf die entsprechende Zeitschrift verwiesen.

Quadrature Formulas for Refinable Functions and Wavelets II: Error Analysis
-Arne Barinka, Titus Barsch, Stephan Dahlke, Michael Konik und Mario Mommer
IGPM-Report Nr. 188, RWTH Aachen, 2000, erscheint in: Journal of Computational Analysis and Applications.
Interpolating Scaling Functions with Duals
-Stephan Dahlke, Peter Maass und Gerd Teschke
Report Nr. 00-08, Zentrum für Technomathematik, Universität Bremen, 2000,
erscheint in: Journal of Computational Analysis and Applications.
A Note on Interpolating Scaling Functions
-Stephan Dahlke und Peter Maass
IGPM-Report Nr. 180, RWTH Aachen, 1999, erscheint in: Communications in Applied Analysis.
Convergent Adaptive Wavelet Methods for the Stokes Problem
-Stephan Dahlke, Reinhard Hochmuth und Karsten Urban
erscheint in ``Proceedings of European Multigrid Conference 1999''.
Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
-Arne Barinka, Titus Barsch, Stephan Dahlke und Michael Konik
IGPM-Report Nr. 176, RWTH Aachen, 1999, erscheint in: Z. Angew. Math. Mech.
Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments
-Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen und Karsten Urban
IGPM-Report Nr. 173, RWTH Aachen, 1999.
Adaptive Wavelet Methods for Saddle Point Problems
-Stephan Dahlke, Reinhard Hochmuth und Karsten Urban
Mathematical Modelling and Numerical Analysis (M2AN)}34(5) (2000), 1003--1022. Abstract
Besov Regularity for the Stokes Problem
-Stephan Dahlke
in: "Advances in Multivariate Approximation", (W. Haussmann, K. Jetter und M. Reimer, Eds.), Wiley VCH, Mathematical Research 107, Berlin, 1999, 129-138. Abstract
Besov Regularity for Interface Problems
-Stephan Dahlke
Z. Angew. Math. Mech. 79(6) (1999), 383-388. Abstract
Multilevel Characterizations of Function Spaces on Skeletons
-Stephan Dahlke und Angela Kunoth
in: Proceedings of the International Wavelet Conference "Wavelets and Multiscale Methods", INRIA, Tanger, Marokko, 1998. Abstract
A New Approach to Interpolating Scaling Functions
-Stephan Dahlke, Karlheinz Gröchenig und Peter Maass
Applicable Analysis 72(3-4) (1999), 485-500. Abstract
Besov Regularity for Elliptic Boundary Value Problems in Polygonal Domains
-Stephan Dahlke
Appl. Math. Lett. 12(6) (1999), 31-38. Abstract
Besov Regularity for Elliptic Boundary Value Problems with Variable Coefficients
-Stephan Dahlke
Manuscripta Math. 95 (1998), 59-77. Abstract
Interpolating Refinable Functions and Wavelets for General Scaling Matrices
- Stephan Dahlke und Peter Maass
Numer. Funct. Anal. Optim. 18(5&6) (1997), 521-539. Abstract
Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations
-Stephan Dahlke, Wolfgang Dahmen und Ronald A. DeVore
in: "Multicale Wavelet Methods for Partial Differential Equations" (W. Dahmen, A. Kurdila und P. Oswald, Eds.), Academic Press, San Diego, 1997, 237-283. Abstract
Biorthogonal Box Spline Wavelet Bases
(Ausführliche Version - 360KB)
(Version ohne BIlder)
- Stephan Dahlke, Karlheinz Gröchenig und Vera Latour
in: "Surface Fitting and Multiresolution Methods" (A. Le Méhauté, C. Rabut und L. L. Schumaker, Eds.), Vanderbilt University Press, Nashville, 1997, 83-92. Abstract
Wavelets: Construction Principles and Applications to the Numerical Treatment of Operator Equations
-Stephan Dahlke
Habilitationsschrift, RWTH Aachen, Shaker Verlag , Aachen, 1997, ISBN 3-8265-2549-3, 1-181. Abstract
Stable Multiscale Bases and Local Error Estimation for Elliptic Problems
- Stephan Dahlke, Wolfgang Dahmen, Reinhard Hochmuth und Reinhold Schneider
Appl. Numer. Math. 23(1) (1997), 21-48. Abstract

Besov Regularity for Elliptic Boundary Value Problems
- Stephan Dahlke und Ronald A. DeVore
Comm. Partial Differential Equations 22(1&2) (1997), 1-16. Abstract
Generalized Cardinal B-Splines: Stability, Linear Independence, and Appropriate Scaling Matrices
-Stephan Dahlke, Vera Latour und Michael Neeb
Constr. Approx. 13 (1997), 29-56. Abstract
Invariant Manifolds for Products of Random Diffeomorphisms
-Stephan Dahlke
J. Dynam. Differential Equations 9(1) (1997), 157-210. Abstract
Continuous Wavelet Transforms with Applications to Analyzing Functions on Spheres
-Stephan Dahlke und Peter Maass
J. Fourier Anal. Appl. 2(4) (1996), 379-396. Abstract
A Note on the Linear Independence of Characteristic Functions of Self-Similar Sets
-Stephan Dahlke und Vera Latour
Arch. Math. 66 (1996), 80-88. Abstract
The Affine Uncertainty Principle in One and Two Dimensions
-Stephan Dahlke und Peter Maass
Comput. Math. Appl. 30(3-6) (1995), 293-305. Abstract
The Construction of Wavelets on Groups and Manifolds
-Stephan Dahlke
in: "General Algebra and Discrete Mathematics" (K. Deneke und O. Lüders, Eds.), Heldermann-Verlag, Berlin, 1995, 47-58. Abstract
Smooth Refinable Functions and Wavelets Obtained by Convolution Products
-Stephan Dahlke, Wolfgang Dahmen und V. Latour
Appl. Comput. Harmon. Anal. 2 (1995), 68-84. Abstract
A Note on Generalized Weyl-Heisenberg Frames
-Stephan Dahlke
Appl. Math. Lett. 7(3) (1994), 79-82. Abstract
Multiresolution Analysis, Haar Bases and Wavelets on Riemannian Manifolds
-Stephan Dahlke
in: "Wavelets: Theory, Algorithms, and Applications" (C. K. Chui, L. Montefusco und L. Puccio, Eds.), Academic Press, 1994, 33-52. Abstract
Multiresolution Analysis and Wavelets on Locally Compact Abelian Groups
-Stephan Dahlke
in: "Wavelets, Images, and Surface Fittings" (P. J. Laurent, A. Le Méhauté und L. L. Schumaker, Eds.), A K Peters, Wellesley, Massachusetts, 1994, 141-156. Abstract
Biorthogonal Wavelets and Multigrid
- Stephan Dahlke und Angela Kunoth
in: Proceedings of the 9th GAMM-Seminar "Adaptive Methods: Algorithms, Theory and Applications" (W. Hackbusch und G. Wittum, Eds.), NNFM Series Vol. 46, Vieweg, 1994, 99-119. Abstract
Multiresolution Analysis and Wavelets on S2 and S3
- Stephan Dahlke, Wolfgang Dahmen, Eberhard Schmitt und Ilona Weinreich
Numer. Funct. Anal. Optim. 16(1&2) (1995), 19-41. Abstract

Wavelet Bases Adapted to Pseudo-Differential Operators
- Stephan Dahlke und Ilona Weinreich
Appl. Comp. Harmon. Anal. 1(3) (1994), 267-283. Abstract
Wavelet-Galerkin Methods: An Adapted Biorthogonal Wavelet Basis
- Stephan Dahlke und Ilona Weinreich
Constr. Approx. 9 (1993), 237-262. Abstract
Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen
-Stephan Dahlke
Dissertation, Universität Bremen, 1989, 1-106. Abstract

Software-Dokumentationen


The IGPM Villemoes Machine
- Arne Barinka, Stephan Dahlke und Nicole Mulders
IGPM-Report Nr. 184, RWTH Aachen, 2000.

Skripte


Wavelets: Grundlagen und Anwendungen
- Stephan Dahlke
Skript zum WE-Heraeus Ferienkurs ``Mathematische Methoden und Computeralgebra in der Physik'', Martin-Luther-Universität Halle-Wittenberg, 14.-25. September 1998.