Multiscale, Nonlinear and Adaptive Approximation [electronic resource] : Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday /
DeVore, Ronald.editor.
Kunoth, Angela.editor.
The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen 's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building t
Description based upon print version of record.
The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen 's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building t
Includes bibliographical references.
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.
Dahmen, Wolfgang, 1949-
Numerical analysis.
Computer mathematics.
Computers.
Applied mathematics.
Engineering mathematics.
Numerical Analysis.
Computational Mathematics and Numerical Analysis.
Theory of Computation.
Numeric Computing.
Mathematical and Computational Engineering.