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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Hlavný autor: Griffiths, Graham W.
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: New York, N.Y Cambridge University Press 26.04.2016
Predmet:
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
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  • 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