| Preface |
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vii | (4) |
| Contributors |
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xi | |
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I. FEM-Like Multilevel Preconditioning |
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1 | (106) |
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Multilevel Solvers for Elliptic Problems on Domains |
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3 | (56) |
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Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs |
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59 | (48) |
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II. Fast Wavelet Algorithms: Compression and Adaptivity |
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107 | (178) |
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An Adaptive Collection Method based on Interpolating Wavelets |
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109 | (28) |
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An Adaptive Pseudo-Wavelet Approach for Solving Nonlinear Partial Differential Equations |
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137 | (62) |
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A Dynamical Adaptive Concept Based on Wavelet Packet Best Bases: Application to Convection Diffusion Partial Differential Equations |
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199 | (38) |
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Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations |
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237 | (48) |
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III. Wavelet Solvers for Integral Equations |
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285 | (96) |
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Fully Discrete Multiscale Galerkin BEM |
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287 | (60) |
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Wavelet Multilevel Solvers for Linear Ill-Posed Problems Stabilized by Tikhonov Regularization |
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347 | (34) |
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IV. Software Tools and Numerical Experiments |
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381 | (58) |
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Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs using Wavelets |
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383 | (30) |
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Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems |
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413 | (26) |
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V. Multiscale Interaction and Applications to Turbulence |
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439 | (54) |
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Local Models and Large Scale Statistics of the Kuramoto-Sivashinsky Equation |
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441 | (32) |
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Theoretical Dimension and the Complexity of Simulated Turbulence |
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473 | (20) |
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VI. Wavelet Analysis of Partial Differential Operators |
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493 | (74) |
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Analysis of Second Order Elliptic Operators Without Boundary Conditions and With V M O or Holderian Coefficients |
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495 | (46) |
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Some Directional Elliptic Regularity For Domains With Cusps |
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541 | (26) |
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| Subject Index |
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567 | |
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