Multiscale, Nonlinear and Adaptive Approximation: Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday - Hardcover
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 the foundation for most efficient numerical algorithms for simulating complex phenomena.
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About the Author:
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.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2009
- ISBN 10 3642034128
- ISBN 13 9783642034121
- BindingHardcover
- Number of pages684
- EditorDeVore Ronald, Kunoth Angela
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Multiscale, Nonlinear and Adaptive Approximation
Published by
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(2009)
ISBN 10: 3642034128
ISBN 13: 9783642034121
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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 fr. Seller Inventory # 5043985
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Multiscale, Nonlinear and Adaptive Approximation
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ISBN 10: 3642034128
ISBN 13: 9783642034121
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -On the occasion of his 60th birthday in October 2009, friends, collaborators, and admirers of Wolfgang Dahmen have organized this volume which touches on va- ous of his research interests. This volume will provide an easy to read excursion into many important topics in applied and computational mathematics. These include nonlinear and adaptive approximation, multivariate splines, subdivision schemes, multiscale and wavelet methods, numerical schemes for partial differential and boundary integral equations, learning theory, and high-dimensional integrals. College Station, Texas, USA Ronald A. DeVore Paderborn, Germany Angela Kunoth June 2009 vii Acknowledgements We are deeply grateful to Dr. Martin Peters and Thanh-Ha Le Thi from Springer for realizing this book project and to Frank Holzwarth for technical support. ix Contents Introduction: Wolfgang Dahmen s mathematical work. . . . . . . . . . . . . . . . 1 Ronald A. DeVore and Angela Kunoth 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 The early years: Classical approximation theory. . . . . . . . . . . . . . . . 2 3 Bonn, Bielefeld, Berlin, and multivariate splines . . . . . . . . . . . . . . . 2 3. 1 Computer aided geometric design . . . . . . . . . . . . . . . . . . . . 3 3. 2 Subdivision and wavelets . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 4 Wavelet and multiscale methods for operator equations. . . . . . . . . . 5 4. 1 Multilevel preconditioning . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4. 2 Compression of operators. . . . . . . . . . . . . . . . . . . . . . . . . . . 5 5 Adaptive solvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 6 Constructionandimplementation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 684 pp. Englisch. Seller Inventory # 9783642034121
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Multiscale, Nonlinear and Adaptive Approximation : Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday
Published by
Springer Berlin Heidelberg
(2009)
ISBN 10: 3642034128
ISBN 13: 9783642034121
New
Hardcover
Quantity: 1
Seller:
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - On the occasion of his 60th birthday in October 2009, friends, collaborators, and admirers of Wolfgang Dahmen have organized this volume which touches on va- ous of his research interests. This volume will provide an easy to read excursion into many important topics in applied and computational mathematics. These include nonlinear and adaptive approximation, multivariate splines, subdivision schemes, multiscale and wavelet methods, numerical schemes for partial differential and boundary integral equations, learning theory, and high-dimensional integrals. College Station, Texas, USA Ronald A. DeVore Paderborn, Germany Angela Kunoth June 2009 vii Acknowledgements We are deeply grateful to Dr. Martin Peters and Thanh-Ha Le Thi from Springer for realizing this book project and to Frank Holzwarth for technical support. ix Contents Introduction: Wolfgang Dahmen s mathematical work. . . . . . . . . . . . . . . . 1 Ronald A. DeVore and Angela Kunoth 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 The early years: Classical approximation theory. . . . . . . . . . . . . . . . 2 3 Bonn, Bielefeld, Berlin, and multivariate splines . . . . . . . . . . . . . . . 2 3. 1 Computer aided geometric design . . . . . . . . . . . . . . . . . . . . 3 3. 2 Subdivision and wavelets . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 4 Wavelet and multiscale methods for operator equations. . . . . . . . . . 5 4. 1 Multilevel preconditioning . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4. 2 Compression of operators. . . . . . . . . . . . . . . . . . . . . . . . . . . 5 5 Adaptive solvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 6 Constructionandimplementation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seller Inventory # 9783642034121
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