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Scientific Computing with Ordinary Differential Equations

  • Textbook
  • © 2002

Overview

Authors:
  1. Peter Deuflhard

    1. Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Folkmar Bornemann

    1. Center for Mathematical Sciences, Munich University of Technology (TUM), Munich, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Texts in Applied Mathematics (TAM, volume 42)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xix
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  2. Time-Dependent Processes in Science and Engineering

    • Peter Deuflhard, Folkmar Bornemann
    Pages 1-31

  3. Existence and Uniqueness for Initial Value Problems

    • Peter Deuflhard, Folkmar Bornemann
    Pages 33-73

  4. Condition of Initial Value Problems

    • Peter Deuflhard, Folkmar Bornemann
    Pages 75-119

  5. One-Step Methods for Nonstiff IVPs

    • Peter Deuflhard, Folkmar Bornemann
    Pages 121-190

  6. Adaptive Control of One-Step Methods

    • Peter Deuflhard, Folkmar Bornemann
    Pages 191-218

  7. One-Step Methods for Stiff ODE and DAE IVPs

    • Peter Deuflhard, Folkmar Bornemann
    Pages 219-311

  8. Multistep Methods for ODE and DAE IVPs

    • Peter Deuflhard, Folkmar Bornemann
    Pages 313-387

  9. Boundary Value Problems for ODEs

    • Peter Deuflhard, Folkmar Bornemann
    Pages 389-460

  10. Back Matter

    Pages 461-486
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Keywords

About this book

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re­ search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri­ cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

Reviews

P. Deuflhard and F. Bornemann

Scientific Computing with Ordinary Differential Equations

"Provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations . . . This book would make an interesting (non-conventional) textbook for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, and contains a generous supply of homework exercises. In summary, this is an excellent and timely book."—MATHEMATICAL REVIEWS

"As indicated by the title, this is not a treatise merely on the numerical analysis of ordinary differential equations (ODEs). … the reader is made acquainted with nontrivial examples of ODEs arising in diverse areas and with intrinsic properties of these equations. … The consideration of all the various components … makes for a very informative reading which is further aided by the undogmatic style of presentation. The volume can be recommended to newcomers, but also to instructors in this area." (H. Muthsam, Monatshefte für Mathematik, Vol. 143 (1), 2004)

Authors and Affiliations

  • Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany

    Peter Deuflhard

  • Center for Mathematical Sciences, Munich University of Technology (TUM), Munich, Germany

    Folkmar Bornemann

Bibliographic Information

  • Book Title: Scientific Computing with Ordinary Differential Equations

  • Authors: Peter Deuflhard, Folkmar Bornemann

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-0-387-21582-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-387-95462-2Published: 09 July 2002

  • Softcover ISBN: 978-1-4419-3011-8Published: 03 December 2010

  • eBook ISBN: 978-0-387-21582-2Published: 06 December 2012

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XX, 486

  • Additional Information: Original German edition published by DeGruyter, Germany

  • Topics: Ordinary Differential Equations, Computational Mathematics and Numerical Analysis

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