Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- Introduction
- 1 A review of 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
- Index
11 - Multiscale methods for ill-posed integral equations
Published online by Cambridge University Press: 05 July 2015
- Frontmatter
- Contents
- Preface
- List of symbols
- Introduction
- 1 A review of 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
- Index
Summary
- Type
- Chapter
- Information
- Multiscale Methods for Fredholm Integral Equations , pp. 416 - 464Publisher: Cambridge University PressPrint publication year: 2015