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Scientific Computing with Ordinary Differential Equations
Taschenbuch von Peter Deuflhard (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Texts in Applied Mathematics
Inhalt: xx
486 S.
ISBN-13: 9781441930118
ISBN-10: 1441930116
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Deuflhard, Peter
Bornemann, Folkmar
Übersetzung: Rheinboldt, W. C.
Auflage: Softcover reprint of the original 1st ed. 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Texts in Applied Mathematics
Maße: 235 x 155 x 28 mm
Von/Mit: Peter Deuflhard (u. a.)
Erscheinungsdatum: 03.12.2010
Gewicht: 0,762 kg
Artikel-ID: 107252943
Zusammenfassung
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
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Texts in Applied Mathematics
Inhalt: xx
486 S.
ISBN-13: 9781441930118
ISBN-10: 1441930116
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Deuflhard, Peter
Bornemann, Folkmar
Übersetzung: Rheinboldt, W. C.
Auflage: Softcover reprint of the original 1st ed. 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Texts in Applied Mathematics
Maße: 235 x 155 x 28 mm
Von/Mit: Peter Deuflhard (u. a.)
Erscheinungsdatum: 03.12.2010
Gewicht: 0,762 kg
Artikel-ID: 107252943
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