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Item Details
| Title:
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ANALYSIS OF DISCRETIZATION METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
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| By: |
Hans J. Stetter |
| Format: |
Paperback |
| List price:
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£81.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3642654738 |
| ISBN 13: |
9783642654732 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
12 November, 2011 |
| Edition: |
Softcover reprint of the original 1st ed. 1973 |
| Series: |
Springer Tracts in Natural Philosophy 23 |
| Pages: |
390 |
| Description: |
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. |
| Synopsis: |
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. |
| Illustrations: |
XVI, 390 p. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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