Universitext

Numerical Treatment of Partial Differential Equations

Authors: Grossmann, Christian, Roos, Hans-G., Stynes, Martin

  • Covers recent research developments - these topics of current interest are rarely considered in other textbooks

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eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-71584-9
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  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-71582-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.

Reviews

From the reviews:

"This textbook is the translation and revision of the third German edition of 2005. ... the book deals with different aspects of the numerical solution of elliptic, parabolic and hyperbolic partial differential equations. ... An index and two pages with a summary of the notations used complete the presentation. ... It can be highly recommended for students and engineers but also for numerical analysts." (Riidiger Weiner, Zentralblatt fiir Angewandte Mathematik and Mechanik, Vol. 88 (12), 2008)


Table of contents (8 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-71584-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-71582-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Treatment of Partial Differential Equations
Authors
Series Title
Universitext
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-71584-9
DOI
10.1007/978-3-540-71584-9
Softcover ISBN
978-3-540-71582-5
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 596
Number of Illustrations and Tables
86 b/w illustrations
Additional Information
Translation and Revision of the 3rd edition of "Numerische Behandlung partieller Differentialgleichungen" published by Teubner, 2005
Topics