Multiscale, Nonlinear and Adaptive Approximation [electronic resource] : Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday / edited by Ronald DeVore, Angela Kunoth.

Introduction: Wolfgang Dahmen’s mathematical work -- The way things were in multivariate splines: A personal view -- On the efficient computation of high-dimensional integrals and the approximation by exponential sums -- Adaptive and anisotropic piecewise polynomial approximation -- Anisotropic function spaces with applications -- Nonlinear approximation and its applications -- Univariate subdivision and multi-scale transforms: The nonlinear case -- Rapid solution of boundary integral equations by wavelet Galerkin schemes -- Learning out of leaders -- Optimized wavelet preconditioning -- Multiresolution schemes for conservation laws -- Theory of adaptive finite element methods: An introduction -- Adaptive wavelet methods for solving operator equations: An overview -- Optimal multilevel methods for (grad), (curl), and (div) systems on graded and unstructured grids.