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Numerical methods for ordinary differential equations

Author: J C Butcher
Publisher: Chichester, West Sussex, England ; Hoboken, NJ : J. Wiley, ©2003.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving ordinary differential equations. It stands out amongst other books on the subject because of the author's lucid writing style, and the integrated presentation of theory, examples, and exercises."--Jacket.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Butcher, J.C. (John Charles), 1933-
Numerical methods for ordinary differential equations.
Chichester, West Sussex, England ; Hoboken, NJ : J. Wiley, ©2003
(DLC) 2003050198
(OCoLC)52121487
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J C Butcher
ISBN: 0470868260 9780470868263 0470868279 9780470868270
OCLC Number: 57436711
Description: 1 online resource (xiv, 425 pages) : illustrations
Contents: 1 Differential and Difference Equations --
10 Differential Equation Problems --
11 Differential Equation Theory --
12 Difference Equation Problems --
13 Difference Equation Theory --
2 Numerical Differential Equation Methods --
20 The Euler Method --
21 Analysis of the Euler Method --
22 Generalizations of the Euler Method --
23 Runge-Kutta Methods --
24 Linear Multistep Methods --
25 Taylor Series Methods --
26 Hybrid Methods --
3 Runge-Kutta Methods --
30 Preliminaries --
31 Order Conditions --
32 Low Order Explicit Methods --
33 Runge-Kutta Methods with Error Estimates --
34 Implicit Runge-Kutta Methods --
35 Stability of Implicit Runge-Kutta Methods --
36 Implementable Implicit Runge-Kutta Methods --
37 Order Barriers --
38 Algebraic Properties of Runge-Kutta Methods --
39 Implementation Issues --
4 Linear Multistep Methods --
40 Preliminaries --
41 The Order of Linear Multistep Methods --
42 Errors and Error Growth --
43 Stability Characteristics --
44 Order and Stability Barriers --
45 One-leg Methods and G-stability --
46 Implementation Issues --
5 General Linear Methods --
50 Representing Methods in General Linear Form --
51 Consistency, Stability and Convergence --
52 The Stability of General Linear Methods --
53 The Order of General Linear Methods --
54 Methods with Runge-Kutta stability.
Responsibility: J.C. Butcher.
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Abstract:

This new book, leading on from the exceptionally popular Numerical Analysis of Ordinary Differential Equations This book is. an indispensible reference for any researcher. "-American Mathematical  Read more...

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"I enjoyed reading this book. It is well written and quite approachable." (Mathematical Reviews, 2004c) "...covers now all the material that is modern standard in this field... belongs into any Read more...

 
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