Numerical Analysis Using R Solutions to ODEs and PDEs

This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language...

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Bibliographic Details
Main Author:	Griffiths, Graham W.
Format:	eBook Book
Language:	English
Published:	New York, N.Y Cambridge University Press 26.04.2016
Subjects:	Boundary value problems Boundary value problems > Data processing Differential equations Differential equations > Data processing Differential equations, Partial Differential equations, Partial > Data processing General Engineering & Project Administration General References Initial value problems Initial value problems > Data processing Numerical analysis R (Computer program language)
ISBN:	9781107115613, 1107115612
Online Access:	Get full text
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Table of Contents:

Title Page About This Book Preface Table of Contents 1. ODE Integration Methods 2. Stability Analysis of ODE Integrators 3. Numerical Solution of PDEs 4. PDE Stability Analysis 5. Dissipation and Dispersion 6. High-Resolution Schemes 7. Meshless Methods 8. Conservation Laws 9. Case Study: Analysis of Golf Ball Flight 10. Case Study: Taylor-Sedov Blast Wave 11. Case Study: The Carbon Cycle Appendix: A Mathematical Aide-Mémoire Index Color Plates