Numerical Analysis Using R: Solutions to ODEs and PDEs

Numerical Analysis Using R: Solutions to ODEs and PDEs

by Graham W. Griffiths


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Product Details

ISBN-13: 9781107115613
Publisher: Cambridge University Press
Publication date: 04/26/2016
Pages: 632
Product dimensions: 6.97(w) x 9.96(h) x 1.46(d)

About the Author

Graham W. Griffiths is a visiting professor in the School of Engineering and Mathematical Sciences, City University, London. His primary interests are in numerical methods and climate modelling, on which he has previously published four books. Griffiths was a founder of Special Analysis and Simulation Technology Ltd, and later vice president of operations and technology with AspenTech. He is a Chartered Engineer and a Fellow of the Institute of Measurement and Control, and was granted Freedom of the City of London in 1995.

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.

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