Book contents
- Frontmatter
- Contents
- Preface
- 0 Introduction and preliminaries
- 1 The space ℒ2(a,b)
- 2 Numerical quadrature
- 3 Introduction to the theory of linear integral equations of the second kind
- 4 The Nystrom (quadrature) method for Fredholm equations of the second kind
- 5 Quadrature methods for Volterra equations of the second kind
- 6 Eigenvalue problems and the Fredholm alternative
- 7 Expansion methods for Fredholm equations of the second kind
- 8 Numerical techniques for expansion methods
- 9 Analysis of the Galerkin method with orthogonal basis
- 10 Numerical performance of algorithms for Fredholm equations of the second kind
- 11 Singular integral equations
- 12 Integral equations of the first kind
- 13 Integro-differential equations
- Appendix: Singular expansions
- References
- Index
13 - Integro-differential equations
Published online by Cambridge University Press: 07 December 2009
Book contents
- Frontmatter
- Contents
- Preface
- 0 Introduction and preliminaries
- 1 The space ℒ2(a,b)
- 2 Numerical quadrature
- 3 Introduction to the theory of linear integral equations of the second kind
- 4 The Nystrom (quadrature) method for Fredholm equations of the second kind
- 5 Quadrature methods for Volterra equations of the second kind
- 6 Eigenvalue problems and the Fredholm alternative
- 7 Expansion methods for Fredholm equations of the second kind
- 8 Numerical techniques for expansion methods
- 9 Analysis of the Galerkin method with orthogonal basis
- 10 Numerical performance of algorithms for Fredholm equations of the second kind
- 11 Singular integral equations
- 12 Integral equations of the first kind
- 13 Integro-differential equations
- Appendix: Singular expansions
- References
- Index
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- Computational Methods for Integral Equations , pp. 326 - 363Publisher: Cambridge University PressPrint publication year: 1985