Holger Wendland's Books

Numerical Linear Algebra

By: Holger Wendland

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This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

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Page Count

419

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Cambridge University Press

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ISBN 10

1107147131

ISBN 13

9781107147133

Scattered Data Approximation

By: Holger Wendland

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Scattered Data Approximation

By: Holger Wendland

Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to support courses in computer-aided geometric design, and meshless methods for partial differential equations.

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Page Count

346

Publisher

Cambridge University Press

Published Date

ISBN 10

1139456652

ISBN 13

9781139456654

Numerical Linear Algebra

By: Holger Wendland

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Numerical Linear Algebra

By: Holger Wendland

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

419

Publisher

Cambridge University Press

Published Date

ISBN 10

1107147131

ISBN 13

9781107147133

Book's by Holger Wendland

Numerical Linear Algebra

Numerical Linear Algebra

Scattered Data Approximation

Scattered Data Approximation

Numerical Linear Algebra

Numerical Linear Algebra

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