Multiscale, Nonlinear and Adaptive Approximation

1. Introduction: Wolfgang Dahmen’s mathematical work
Ronald A. DeVore, Angela Kunoth

2. The way things were in multivariate splines: Apersonal view
Carl de Boor

3. On the efficient computation of high-dimensional integrals and the approximation by exponential sums
Dietrich Braess, Wolfgang Hackbusch

4. Adaptive and anisotropic piecewise polynomial approximation
Albert Cohen, Jean-Marie Mirebeau

5. Anisotropic function spaces with applications
Shai Dekel, Pencho Petrushev

6. Nonlinear approximation and its applications
Ronald A. DeVore

7. Univariate subdivision and multi-scale transforms: The nonlinear case
Nira Dyn, Peter Oswald

8. Rapid solution of boundary integral equations by wavelet Galerkin schemes
Helmut Harbrecht, Reinhold Schneider

9. Learning out of leaders
Gérard Kerkyacharian, Mathilde Mougeot, Dominique Picard, Karine Tribouley

10. Optimized wavelet preconditioning
Angela Kunoth

11. Multiresolution schemes for conservation laws
Siegfried Müller

12. Theory of adaptive finite element methods: An introduction
Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser

13. Adaptive wavelet methods for solving operator equations: An overview
Rob Stevenson

14. Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
Jinchao Xu, Long Chen, Ricardo H. Nochetto

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Numerical Analysis, Numeric Computing, Appl.Mathematics/Computational Methods of Engineering