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.