Multiscale, Nonlinear and Adaptive Approximation
Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday
Published on 5. September 2009
Book
Hardback
XXIV, 660 pages
978-3-642-03412-1 (ISBN)
Description
Ronald DeVore's speciality is Nonlinear Approximation Theory. He is The Walter E. Koss Professor of Mathematics at Texas A&M University.He was elected a member of the American Academy of Arts and Sciences in 2001 and received an Honorary Doctorate from RWTH Aachen in 2004. In 2006, he was a Plenary Lecturer at the International Congress of Mathematicians in Madrid.
Angela Kunoth is working on wavelet and multiscale methods for solving partial differential equations and for data analysis purposes. She holds the Chair of Complex Systems at Universitaet Paderborn since 2007 and is an editor of five journals in applied mathematics and numerics.
More details
Edition
2009 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XXIV, 660 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 47 mm
Weight
1305 gr
ISBN-13
978-3-642-03412-1 (9783642034121)
DOI
10.1007/978-3-642-03413-8
Schweitzer Classification
Other editions
Additional editions
Ronald Devore | Angela Kunoth
Multiscale, Nonlinear and Adaptive Approximation
Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday
Book
12/2014
Springer
€213.99
Shipment within 7-9 days
Ronald Devore | Angela Kunoth
Multiscale, Nonlinear and Adaptive Approximation
Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday
E-Book
09/2009
1st Edition
Springer
€213.99
Available for download
Persons
Ronald DeVore's speciality is Nonlinear Approximation Theory. He is The Walter E. Koss Professor of Mathematics at Texas A&M University.He was elected a member of the American Academy of Arts and Sciences in 2001 and received an Honorary Doctorate from RWTH Aachen in 2004. In 2006, he was a Plenary Lecturer at the International Congress of Mathematicians in Madrid.
Angela Kunoth is working on wavelet and multiscale methods for solving partial differential equations and for data analysis purposes. She holds the Chair of Complex Systems at Universitaet Paderborn since 2007 and is an editor of five journals in applied mathematics and numerics.
Angela Kunoth is working on wavelet and multiscale methods for solving partial differential equations and for data analysis purposes. She holds the Chair of Complex Systems at Universitaet Paderborn since 2007 and is an editor of five journals in applied mathematics and numerics.
Content
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.