Computational Methods for Integral Equations Book

Preface; Introduction; 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 Freholm 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; References; Index.