Computational Methods for Linear Integral Equations - Pratap Puri

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Résumé :
Presents basic theoretical material on numerical analysis, convergence, error estimates and accuracy. The unique computational approach leads the reader from theoretical and practical problems to computation with hands-on guidance for input files and the execution of computer programs. All supporting Mathematicar files related to the book are available via the Internet at the authors' websites. For professionals, graduate students, and researchers in mathematics, physical sciences, and engineering. Readers interested in the numerical solution of integral equations will find the book's practical problem-solving style both accessible and useful for their work....

Sommaire:
Preface Notation 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 A. Quadrature Rules B. Orthogonal Polynomials C. Whittaker's Cardinal Functions D. Singular Integrals Bibliography Subject Index

The monograph is devoted to numerical methods for solving one-dimensional linear integral equations. Fredholm and Volterra integral equations of first and second kinds are considered. The authors pay more attention to computational aspects of solving integral equations. A lot of numerical examples and results of computations by computers are presented. -Mathematical Reviews This book presents numerical methods and computational aspects for linear integral equations that appear in various areas of applied mathematics, physics, and engineering.... The book is an excellent reference for graduate students and researchers in mathematics and engineering. -Memoriile Sectiilor Stiintifice