Zhongying Chen, Charles A. Micchelli, Yuesheng Xu

Multiscale Methods for Fredholm Integral Equations

• Gebundenes Buch

Produktbeschreibung

Presents the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 552
• Erscheinungstermin: 22. Juni 2015
• Englisch
• Abmessung: 235mm x 157mm x 37mm
• Gewicht: 1037g
• ISBN-13: 9781107103474
• ISBN-10: 1107103479
• Artikelnr.: 42362089

Autorenporträt

Zhongying Chen is a professor of computational mathematics at Sun Yat-Sen University, China. He is the author or co-author of more than 70 professional publications, including the books Generalized Difference Methods for Differential Equations and Approximate Solutions of Operator Equations. He has served on the editorial board of four journals including Advances in Computational Mathematics, and two book series including the Series in Information and Computational Science, China.

Inhaltsangabe

Preface
Introduction
1. A review on the Fredholm approach
2. Fredholm equations and projection theory
3. Conventional numerical methods
4. Multiscale basis functions
5. Multiscale Galerkin methods
6. Multiscale Petrov-Galerkin methods
7. Multiscale collocation methods
8. Numerical integrations and error control
9. Fast solvers for discrete systems
10. Multiscale methods for nonlinear integral equations
11. Multiscale methods for ill-posed integral equations
12. Eigen-problems of weakly singular integral operators
Appendix. Basic results from functional analysis
References
Symbols
Index.