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Analysis of Approximation Methods for Differential and Integral Equations, Pa...

Description: Analysis of Approximation Methods for Differential and Integral Equations, Paperback by Reinhardt, H. J., ISBN 038796214X, ISBN-13 9780387962146, Like New Used, Free shipping in the US 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 problems: (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.

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Analysis of Approximation Methods for Differential and Integral Equations, Pa...

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Book Title: Analysis of Approximation Methods for Differential and Integral E

Number of Pages: 398 Pages

Language: English

Publication Name: Analysis of Approximation Methods for Differential and Integral Equations

Publisher: Springer New York

Publication Year: 1985

Subject: Functional Analysis, Numerical Analysis, Differential Equations / Partial

Item Weight: 45.5 Oz

Type: Textbook

Subject Area: Mathematics

Item Length: 9.3 in

Author: H. -J. Reinhardt

Series: Applied Mathematical Sciences Ser.

Item Width: 6.1 in

Format: Trade Paperback

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