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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Numerical Methods for Ordinary Differential Equations
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Numerical Methods for Ordinary Differential Equations
John Butcher (Gebundene Ausgabe, Englisch)
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Beschreibung
In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general… linear methods.
Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include
* Introductory work on differential and difference equations.
* A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically.
* A detailed analysis of Runge-Kutta methods and of linear multistep methods.
* A complete study of general linear methods from both theoretical and practical points of view.
* The latest results on practical general linear methods and their implementation.
* A balance between informal discussion and rigorous mathematical style.
* Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
20.03.2008
Sprache
Englisch
EAN
9780470723357
Herausgeber
John Wiley & Sons
Sonderedition
Nein
Autor
John Butcher
Seitenanzahl
482
Auflage
2
Einbandart
Gebundene Ausgabe
Schlagwörter
Applied Mathematics in Science, Numerical Methods, Mathematik in den Naturwissenschaften, Mathematics, Mathematik, Numerische Methoden, Numerische Mathematik
Thema-Inhalt
PBW - Angewandte Mathematik
PDE - Mathematik für Wissenschaftler
Inhaltsverzeichnis
Contents
Preface to the first edition
Preface to the second edition
1 Differential and Difference Equations
2 Numerical Differential Equation Methods
3 Runge-Kutta Methods
4 Linear Multistep Methods
5 General Linear Methods
References
Index
Höhe
244 mm
Breite
16.8 cm
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