Numerical Methods for Ordinary Differential Equations

This book PDF is perfect for those who love Mathematics genre, written by David F. Griffiths and published by Springer Science & Business Media which was released on 11 November 2010 with total hardcover pages 271. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Numerical Methods for Ordinary Differential Equations books below.

Numerical Methods for Ordinary Differential Equations
Numerical Methods for Ordinary Differential Equations
Author : David F. Griffiths
File Size : 40,7 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 11 November 2010
ISBN : 9780857291486
Pages : 271 pages
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Numerical Methods for Ordinary Differential Equations by David F. Griffiths Book PDF Summary

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

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