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101111s2010 xxk| s |||| 0|eng d |
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|a 9780857291486
|9 978-0-85729-148-6
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|a 10.1007/978-0-85729-148-6
|2 doi
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|a 518
|2 23
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|a Griffiths, David F.
|e author.
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|a Numerical Methods for Ordinary Differential Equations
|b Initial Value Problems /
|c by David F. Griffiths, Desmond J. Higham.
|h [electronic resource] :
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| 264 |
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|a London :
|b Springer London,
|c 2010.
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| 300 |
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|a XIV, 271p. 69 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
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|a Springer Undergraduate Mathematics Series,
|x 1615-2085
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| 505 |
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|a ODEs An Introduction -- Euler s Method -- The Taylor Series Method -- Linear Multistep Methods I -- Linear Multistep Methods II -- Linear Multistep Methods III -- Linear Multistep Methods IV -- Linear Multistep Methods V -- Runge Kutta Method I: Order Conditions -- Runge-Kutta Methods II Absolute Stability -- Adaptive Step Size Selection -- Long-Term Dynamics -- Modified Equations -- Geometric Integration Part I Invariants -- Geometric Integration Part II Hamiltonian Dynamics -- Stochastic Differential Equations -- A Glossary and Notation -- B Taylor Series -- C Jacobians and Variational Equations -- D Constant-Coefficient Difference Equations.
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| 520 |
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|a 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
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|a Mathematics.
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|a Electronic data processing.
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|a Numerical analysis.
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|a Mathematics.
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|a Numerical Analysis.
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|a Numeric Computing.
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| 700 |
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|a Higham, Desmond J.
|e author.
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| 710 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9780857291479
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| 830 |
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|a Springer Undergraduate Mathematics Series,
|x 1615-2085
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-85729-148-6
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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