Skip to main content

Numerical Treatment of Partial Differential Equations

  • Textbook
  • © 2007


Part of the book series: Universitext (UTX)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 16.99 USD 79.99
Discount applied Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)


About this book

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.


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)

Authors and Affiliations

  • Technical University of Dresden, D-01062, Germany

    Christian Grossmann, Hans-Gorg Roos

  • University College Cork, Ireland

    Martin Stynes

Bibliographic Information

  • Book Title: Numerical Treatment of Partial Differential Equations

  • Authors: Christian Grossmann, Hans-Gorg Roos, Martin Stynes

  • Series Title: Universitext

  • DOI:

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Softcover ISBN: 978-3-540-71582-5Published: 04 October 2007

  • eBook ISBN: 978-3-540-71584-9Published: 11 August 2007

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XII, 596

  • Number of Illustrations: 86 b/w illustrations

  • Additional Information: Translation and Revision of the 3rd edition of "Numerische Behandlung partieller Differentialgleichungen" published by Teubner, 2005

  • Topics: Analysis, Numerical Analysis, Partial Differential Equations

Publish with us