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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Analysis of Discretization Methods for Ordinary Differential Equations
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Analysis of Discretization Methods for Ordinary Differential Equations
Hans J. Stetter (Gebundene Ausgabe, Englisch)
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Beschreibung
Due to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential equations. Nearly all approaches to this task involve a "finitization" of the original differential equation problem, usually by a projection into a finite-dimensional space. By far the most popular of these… finitization processes consists of a reduction to a difference equation problem for functions which take values only on a grid of argument points. Although some of these finite difference methods have been known for a long time, their wide applica bility and great efficiency came to light only with the spread of electronic computers. This in tum strongly stimulated research on the properties and practical use of finite-difference methods. While the theory or partial differential equations and their discrete analogues is a very hard subject, and progress is consequently slow, the initial value problem for a system of first order ordinary differential equations lends itself so naturally to discretization that hundreds of numerical analysts have felt inspired to invent an ever-increasing number of finite-difference methods for its solution. For about 15 years, there has hardly been an issue of a numerical journal without new results of this kind; but clearly the vast majority of these methods have just been variations of a few basic themes. In this situation, the classical text book by P. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
09.04.1973
Sprache
Englisch
EAN
9783540060086
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Springer Tracts in Natural Philosophy
Sonderedition
Nein
Autor
Hans J. Stetter
Seitenanzahl
390
Einbandart
Gebundene Ausgabe
Bandzählung
23
Schlagwörter
Diskretisation, partial differential equation, Differential Equations, Ordinary Differential Equations, ordinary differential equation, calculus, difference equation, Differentialgleichung, differential equation, Analysis
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBK - Mathematische Analysis, allgemein
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