Multiscale Methods for Fredholm Integral Equations

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.