Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB
著者
書誌事項
Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB
Chapman & Hall/CRC, c2004
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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
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