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Applied Mathematical Sciences

Analysis of Approximation Methods for Differential and Integral Equations

Authors: Reinhardt, Hans-Jürgen

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  • ISBN 978-1-4612-1080-1
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About this Textbook

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.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 63,06 €
price for Spain (gross)
  • ISBN 978-1-4612-1080-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-0-387-96214-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Analysis of Approximation Methods for Differential and Integral Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
57
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1080-1
DOI
10.1007/978-1-4612-1080-1
Softcover ISBN
978-0-387-96214-6
Series ISSN
0066-5452
Edition Number
1
Number of Pages
398
Topics