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Item Details
| Title:
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THE CONCEPT OF STABILITY IN NUMERICAL MATHEMATICS
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| By: |
Wolfgang Hackbusch |
| Format: |
Paperback |
| List price:
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£64.99 |
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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: |
3662513714 |
| ISBN 13: |
9783662513712 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
23 August, 2016 |
| Edition: |
Softcover reprint of the original 1st ed. 2014 |
| Series: |
Springer Series in Computational Mathematics 45 |
| Pages: |
188 |
| Description: |
This book offers a self-contained presentation of aspects of stability in numerical mathematics. It compares and characterizes stability in different subfields of numerical mathematics. |
| Synopsis: |
In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability. |
| Illustrations: |
XV, 188 p. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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