Analysis of Approximation Methods for Differential and Integral Equations

Name: Analysis of Approximation Methods for Differential and Integral Equations
Brand: Springer, Berlin
SKU: 9780387962146
Price: 214.83 PLN
Availability: InStock

Autor: Hans-Jürgen Reinhardt

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

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This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Univ...

Informacje o książce

Autor

Hans-Jürgen Reinhardt

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2009

strony

398

EAN

9780387962146

ISBN

038796214X

Enbook ID

01384608

Wydawca

Springer, Berlin

Waga

586

Wymiary

155 x 235 x 21

Pełny opis

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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