This book presents basic theoretical material dealing with numerical analysis, convergence, error estimates, and accuracy with applications in a wide range of fields. The computational aspect leads readers from theoretical and practical problems through to computation with hands-on guidance for input files and execution of computer programs.
A good reference and resource for professionals, graduate students, and researchers in mathematics, physical sciences, and engineering, the book contains identification codes for problems, related methods, and computer programs that are cross-referenced throughout.
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 | Quadrature Rules | Orthogonal Polynomials | Whittaker's Cardinal Function | Singular Integrals
, Calculus and Analysis
, Differential Equations