Wavelet and multiscale methods (Q555984)

Contributions: -- Richard G.Baraniuk (joint with Michael Wakin, Justin Romberg, Hyeokho Choi, Venkat Chandrasekaran, and Dror Baron), Approximation and Compression of Piecewise Smooth Multidimensional Functions p.1789 -- Luise Blank, Wavelet and Schur Complement Based Eigenvalue Elimination p.1790 -- Dietrich Braess (joint with Thomas Sauer), Bernstein Polynomials and Learning Theory p.1792 -- Martin Campos Pinto, A Total Curvature Diminishing Property for \(P_1\) Finite Element Interpolation p.1794 -- Emmanuel J.Candes (joint with J.Romberg and T.Tao), Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information p.1797 -- Albert Cohen (joint with P.Binev, W.Dahmen, R.DeVore, and V.Temlyakov), Universal Algorithms for Learning Theory p.1799 -- Ingrid Daubechies (joint with Cynthia Rudin and Rob Schapire), Convergence for AdaBoost-type Algorithms in Learning Theory p.1800 -- Christine De Mol (joint with Ingrid Daubechies and Michel Defrise), Regularizing Linear Inverse Problems by Sparsity Constraints p.1802 -- Rosa Donat (joint with F.Arandiga), Nonlinear MR transformations and Error Control p.1803 -- Wolfgang Hackbusch, The Technique of Hierarchical Matrices p.1804 -- Helmut Harbrecht (joint with Karsten Eppler), Shape Optimization using Wavelet BEM p.1809 -- Nicholas Kevlahan (joint with O.V.Vasilyev, D.Goldstein, and J.Alam), Adaptive Wavelet Methods for Partial Differential Equations p.1811 -- Angela Kunoth (joint with Markus Holtz), B-Spline-Based Monotone Multigrid Methods p.1814 -- Peter Maass (joint with Stephan Dahlke), Adaptive Multi-scale Methods for Inverse Problems p.1815 -- Siegfried Müller, Multiresolution Finite Volume Schemes for Conservation Laws p.1817 -- Pencho Petrushev, Smoothness Spaces and Nonlinear Approximation on the Sphere p.1820 -- Dominique Picard (joint with Gerard Kerkyacharian), Atomic Decomposition on Warped Wavelets and Muckenhoupt Weights p.1820 -- Marie Postel (joint with F.Coquel, Q.H.Tran, and N.Poussineau), Combining Multiresolution Technique with a Semi-implicit Scheme for Two-phase Flows p.1823 -- Arnold Reusken (joint with Jörg Peters and Volker Reichelt), Fast Iterative Solvers for Discrete Stokes Equations p.1826 -- Kai Schneider (joint with Olivier Roussel), An Adaptive Multiresolution Method for Reaction-Diffusion Equations: Applications to Flame Instabilities p.1827 -- Reinhold Schneider (joint with H.J.Flad, W.Hackbusch, and B.Khoromskij), Wavelets for Linear Scaling Computation in Electronic Structure Calculation p.1829 -- Christoph Schwab (joint with Pal Andrej Nitsche), Adaptive Sparse Approximation of Elliptic Singularities p.1830 -- Rob Stevenson (joint with Tsogtgerel Gantumur), On the Compressibility of Operators in Wavelet Coordinates p.1830 -- Endre Süli (joint with Franco Brezzi, Andrea Cangiani, and Donatella Marini), Multiscale Finite Element Methods and Residual-Free Bubbles p.1831 -- Vladimir Temlyakov (joint with R.DeVore, G.Kerkyacharian, S.Konyagin, and D.Picard), Some Error Estimates in Learning Theory p.1833 -- Harry Yserentant, The Electronic Schrödinger Equation--- A Grand Challenge for Numerical Mathematics p.1835