Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations
Author :
Publisher : Springer Science & Business Media
Total Pages : 274
Release :
ISBN-10 : 9780857291486
ISBN-13 : 0857291483
Rating : 4/5 (483 Downloads)

Book Synopsis Numerical Methods for Ordinary Differential Equations by : David F. Griffiths

Download or read book Numerical Methods for Ordinary Differential Equations written by David F. Griffiths and published by Springer Science & Business Media. This book was released on 2010-11-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


Numerical Methods for Ordinary Differential Equations Related Books

Numerical Methods for Ordinary Differential Equations
Language: en
Pages: 274
Authors: David F. Griffiths
Categories: Mathematics
Type: BOOK - Published: 2010-11-11 - Publisher: Springer Science & Business Media

GET EBOOK

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation.
Spectral and High-order Methods with Applications
Language: zh-CN
Pages: 224
Authors: Jie Shen
Categories: Calculus
Type: BOOK - Published: 2006 - Publisher:

GET EBOOK

中国科学院科学出版基金资助出版。
Understanding the Discrete Element Method
Language: en
Pages: 484
Authors: Hans-Georg Matuttis
Categories: Science
Type: BOOK - Published: 2014-06-23 - Publisher: John Wiley & Sons

GET EBOOK

Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygona
The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations
Language: en
Pages: 256
Authors: Tran Duc Van
Categories: Mathematics
Type: BOOK - Published: 1999-06-25 - Publisher: CRC Press

GET EBOOK

Despite decades of research and progress in the theory of generalized solutions to first-order nonlinear partial differential equations, a gap between the local
Numerical Methods for Evolutionary Differential Equations
Language: en
Pages: 403
Authors: Uri M. Ascher
Categories: Mathematics
Type: BOOK - Published: 2008-09-04 - Publisher: SIAM

GET EBOOK

Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.