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

H.J. Lee, W.E. Schiesser (Autoren)

Buch | Hardcover

528 Seiten

2003
Chapman & Hall/CRC (Verlag)
978-1-58488-423-1 (ISBN)

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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 integration concepts such as error monitoring and control. The format allows scientists and engineers to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within their targeted programming language. The applications discussed can be used as templates for the development of a spectrum of new applications.

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

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

Erscheint lt. Verlag	24.11.2003
Zusatzinfo	10 Illustrations, black and white
Sprache	englisch
Maße	156 x 234 mm
Gewicht	1130 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	1-58488-423-1 / 1584884231
ISBN-13	978-1-58488-423-1 / 9781584884231
Zustand	Neuware