Numerical Analysis Using R: Solutions to Odes and Pdes

ISBN-13: 9781107115613 / Angielski / Twarda / 2016 / 632 str.

Graham W. Griffiths

Opis

Practical numerical methods for solving differential equations are illustrated in the increasingly popular open source language R.

Recenzje

'Numerical Analysis Using R is a very interesting text on the theory and practical implementation of numerical methods for approximating solutions to differential equations. The book contains a wealth of information presented in such a way as to be accessible to a wide audience of engineers, mathematicians and other scientists. This book manages to be a unique contribution to the collection of numerical methods texts …' Jason M. Graham, MAA Reviews

Spis treści

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.