HUDU

Scientific Computing with Ordinary Differential Equations


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Juli 2002

Beschreibung

Beschreibung

The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations. It would be a useful and timely text 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 at the end of each chapter.

Inhaltsverzeichnis

Time-Dependent Processes in Science and Engineering
* Existence and Uniqueness for Initial-Value Problems
* Condition of Initial Value Problems
* One-Step Methods for Nonstiff IVPs
* Adaptive Control of One-Step Methods
* One-step Methods for Stiff ODE and DAE IVPs
* Multistep Methods for ODE and DAE IVPs
* Boundary Value Problems for ODEs
* References
* Software
* Index

Innenansichten

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Portrait

Folkmar Bornemann ist Professor für Numerische Mathematik und Wissenschaftliches Rechnen an der Technischen Universität München.

Pressestimmen

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)
EAN: 9780387954622
ISBN: 0387954627
Untertitel: 2002. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: Juli 2002
Seitenanzahl: 516 Seiten
Übersetzer/Sprecher: Übersetzt von W. C. Rheinboldt
Format: gebunden
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