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Numerical Methods for Ordinary Differential Equations: Initial Value Problems Paperback - 2010 - 2010th Edition
by David F. Griffiths; Desmond J. Higham
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From the publisher
From the rear cover
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject.
It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.
Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.
The book covers key foundation topics:
o Taylor series methods
o Runge-Kutta methods
o Linear multistep methods
o Convergence
o Stability
and a range of modern themes:
o Adaptive stepsize selection
o Long term dynamics
o Modified equations
o Geometric integration
o Stochastic differential equations
The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Details
- Title Numerical Methods for Ordinary Differential Equations: Initial Value Problems
- Author David F. Griffiths; Desmond J. Higham
- Binding Paperback
- Edition number 2010th
- Edition 2010
- Pages 271
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2010-11-25
- Illustrated Yes
- Features Glossary, Illustrated
- ISBN 9780857291479 / 0857291475
- Weight 0.9 lbs (0.41 kg)
- Dimensions 9.21 x 6.14 x 0.6 in (23.39 x 15.60 x 1.52 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Category Mathematics
- Library of Congress Catalogue Number 2010937859
- Dewey Decimal Code 518
Media reviews
Citations
- Choice, 06/01/2011, Page 0
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Numerical Methods For Ordinary Differential Equations
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Numerical Methods for Ordinary Differential Equations: Initial Value Problems (Springer Undergraduate Mathematics Series)
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