Analysis of Approximation Methods for Differential and Integral Equations - Softcover

Reinhardt, Hans J.

Softcover

ISBN 10: 354096214X ISBN 13: 9783540962144

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1985

Synopsis

This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite­ difference methods and of projection methods for approximating their variational formulations.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Publication date: 1985
• Language: English
• ISBN 10: 354096214X
• ISBN 13: 9783540962144
• Binding: Paperback