This volume is a useful reference and authoritative resource for professionals, graduate students, and researchers in mathematics, physical sciences, and engineering. Presented material includes numerical analysis, convergence, error estimates, and accuracy, leading readers from theoretical and practical problems through to computation with hands-on guidance for input files and execution of computer programs.
All supporting Mathematica files related to the book are available from the publisher's website.
Introduction | Eigenvalue Problems | Equations of the Second Kind | Classical Methods for FK2 | Variational Methods | Iteration Methods | Singular Equations | Weakly Singular Equations | Cauchy Singular Equations | Sinc-Galerkin Methods | Equations of the First Kind | Inversion of Laplace Transforms | Appendix A: Quadrature Rules | Appendix B: Orthogonal Polynomials | Appendix C: Whittaker's Cardinal Function | Appendix D: Singular Integrals
, Calculus and Analysis
, Differential Equations