2009

Multiscale, Nonlinear and Adaptive Approximation

Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday

Editors:

ISBN: 978-3-642-03412-1 (Print) 978-3-642-03413-8 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XXIII

  2. No Access

    Book Chapter

    Pages 1-17

    Introduction: Wolfgang Dahmen’s mathematical work

  3. No Access

    Book Chapter

    Pages 19-37

    The way things were in multivariate splines: A personal view

  4. No Access

    Book Chapter

    Pages 39-74

    On the efficient computation of high-dimensional integrals and the approximation by exponential sums

  5. No Access

    Book Chapter

    Pages 75-135

    Adaptive and anisotropic piecewise polynomial approximation

  6. No Access

    Book Chapter

    Pages 137-167

    Anisotropic function spaces with applications

  7. No Access

    Book Chapter

    Pages 169-201

    Nonlinear approximation and its applications

  8. No Access

    Book Chapter

    Pages 203-247

    Univariate subdivision and multi-scale transforms: The nonlinear case

  9. No Access

    Book Chapter

    Pages 249-294

    Rapid solution of boundary integral equations by wavelet Galerkin schemes

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    Book Chapter

    Pages 295-324

    Learning out of leaders

  11. No Access

    Book Chapter

    Pages 325-378

    Optimized wavelet preconditioning

  12. No Access

    Book Chapter

    Pages 379-408

    Multiresolution schemes for conservation laws

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    Book Chapter

    Pages 409-542

    Theory of adaptive finite element methods: An introduction

  14. No Access

    Book Chapter

    Pages 543-597

    Adaptive wavelet methods for solving operator equations: An overview

  15. No Access

    Book Chapter

    Pages 599-659

    Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids