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In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include Introductory work on differential and difference equations. A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically. A detailed analysis of Runge-Kutta methods and of linear multistep methods. A complete study of general linear methods from both theoretical and practical points of view. The latest results on practical general linear methods and their implementation. A balance between informal discussion and rigorous mathematical style. Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise. Written in a lucid style by one of the worlds leading authorities on numerical methods for ordinary differential equations and drawing upon his vast experience, this new edition provides an accessible and self-contained introduction, ideal for researchers and students following courses on numerical methods, engineering and other sciences.
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Previews available in: English
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Edition | Availability |
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1
Numerical methods for ordinary differential equations
2008, Wiley
in English
0470723351 9780470723357
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2
Numerical Methods for Ordinary Differential Equations
2008, John Wiley & Sons, Ltd.
Electronic resource
in English
0470753757 9780470753750
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3
Numerical Methods for Ordinary Differential Equations
July 25, 2003, Wiley
Hardcover
in English
- 2Rev Ed edition
0471967580 9780471967583
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Book Details
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"As essential tools in scientific modelling, differential equations are familiar to every educated person."
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- Created April 29, 2008
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August 6, 2010 | Edited by IdentifierBot | added LibraryThing ID |
April 24, 2010 | Edited by Open Library Bot | Fixed duplicate goodreads IDs. |
April 16, 2010 | Edited by bgimpertBot | Added goodreads ID. |
April 14, 2010 | Edited by Open Library Bot | Linked existing covers to the edition. |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |