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.
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.
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