1st Edition

Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB

By H.J. Lee, W.E. Schiesser Copyright 2003
528 Pages 10 B/W Illustrations
by Chapman & Hall

528 Pages
by Chapman & Hall

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussing its components in detail, focusing on... Read more
1 Some Basics of ODE Integration, 2 Solution of a 1 x 1 ODE System, 3 Solution of a 2 x 2 ODE System, 4 Solution of a Linear PDE, 5 Solution of a Nonlinear PDE, Appendix A Embedded Runge Kutta Pairs, Appendix B Integrals from ODEs, Appendix C Stiff ODE Integration, Appendix D Alternative Forms of ODEs, Appendix E Spatial p Refinement, Appendix F Testing ODE/PDE Codes, Index

Biography

Lee, H.J.; Schiesser, W.E.