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Texts in Applied Mathematics

Scientific Computing with Ordinary Differential Equations

Autoren: Deuflhard, Peter, Bornemann, Folkmar

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eBook 56,99 €
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  • ISBN 978-0-387-21582-2
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Hardcover 71,68 €
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  • ISBN 978-0-387-95462-2
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Softcover 71,68 €
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  • ISBN 978-1-4419-3011-8
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Über dieses Lehrbuch

This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. This book strictly presents numerical analysis as a part of the more general field of scientific computing. Important algorithmic concepts are explained down to questions of software implementation. For initial value problems, a dynamical systems approach is used to develop Runge-Kutta, extrapolation, and multistep methods. For boundary value problems including optimal control problems, both multiple shooting and collocation methods are worked out in detail.
Graduate students and researchers in mathematics, computer science, and engineering will find this book useful. Chapter summaries, detailed illustrations, and exercises are contained throughout the book with many interesting applications taken from a rich variety of areas.
Peter Deuflhard is founder and president of the Zuse Institute Berlin (ZIB) and full professor of scientific computing at the Free University of Berlin, Department of Mathematics and Computer Science.
Folkmar Bornemann is full professor of scientific computing at the Center of Mathematical Sciences, Technical University of Munich.
This book was translated by Werner Rheinboldt, professor emeritus of numerical analysis and scientific computing at the Department of Mathematics, University of Pittsburgh.

Stimmen zum Buch

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)


Inhaltsverzeichnis (8 Kapitel)

  • Time-Dependent Processes in Science and Engineering

    Deuflhard, Peter (et al.)

    Seiten 1-31

  • Existence and Uniqueness for Initial Value Problems

    Deuflhard, Peter (et al.)

    Seiten 33-73

  • Condition of Initial Value Problems

    Deuflhard, Peter (et al.)

    Seiten 75-119

  • One-Step Methods for Nonstiff IVPs

    Deuflhard, Peter (et al.)

    Seiten 121-190

  • Adaptive Control of One-Step Methods

    Deuflhard, Peter (et al.)

    Seiten 191-218

Dieses Buch kaufen

eBook 56,99 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-387-21582-2
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 71,68 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-387-95462-2
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 71,68 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4419-3011-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Scientific Computing with Ordinary Differential Equations
Autoren
Übersetzt von
Rheinboldt, W.C.
Titel der Buchreihe
Texts in Applied Mathematics
Buchreihen Band
42
Copyright
2002
Verlag
Springer-Verlag New York
Copyright Inhaber
Springer Science+Business Media New York
eBook ISBN
978-0-387-21582-2
DOI
10.1007/978-0-387-21582-2
Hardcover ISBN
978-0-387-95462-2
Softcover ISBN
978-1-4419-3011-8
Buchreihen ISSN
0939-2475
Auflage
1
Seitenzahl
XX, 486
Zusätzliche Informationen
Original German edition published by DeGruyter, Germany
Themen