- Analysis Of Discretization Methods For Ordinary Differential Equations

Analysis Of Discretization Methods For Ordinary Differential Equations (eBook)

de Hans J. Stetter 

idioma: Inglês
Editor: Springer Berlin Heidelberg
Edição ou reimpressão: março de 2013
Disponibilidade Imediata
Ebook para ADE

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 "e;finitization"e; 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.

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ISBN: 9783642654718 Ano de edição ou reimpressão: 03-2013 Editor: Springer Berlin Heidelberg Idioma: Inglês Tipo de Produto: eBook Coleção: Springer Tracts In Natural Philosophy Formato: PDF i Classificação Temática: eBooks  >  eBooks em Inglês  >  Ciências Exatas e Nat.  >  Matemática


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