Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
Publisher: Chapman & Hall/CRC
Published: November 2003
Language: eng
Format: Hardcover
Number of pages: 512
ISBN-13: 9781584884231
Subjects: Mathematics; Differential equations, Partia; Science/Mathematics; Data processing; Mathematics / Differential Equations; Differential Equations; General; Differential equations, Partial
First sentence: The central topic of this book is the programming and use of a set of library routines for the numerical solution (integration) of systems of initial value ordinary differential equations (ODEs).
Table of contents: title: 1.Some Basics of ODE Integration 1.1 General Initial Value ODE Problem 1.2 Origin of ODE Integrators in the Taylor Series 1.3 The Runge Kutta Method 1.4 Accuracy of RK Methods 1.5 Embedded RK Algorithms 1.6 Library ODE Integrators 1.7 Stability of RK Methods; title: Solution of a 1x1 ODE System 2.1 Programming in MATLAB 2.2 Programming in C 2.3 Programming in C++ 2.4 Programming in Fortran 2.5 Programming in Java 2.6 Programming in Maple; title: Solution of a 2x2 ODE System 3.1 Programming in MATLAB 3.2 Programming in C 3.3 Programming in C++ 3.4 Programming in Fortran 3.5 Programming in Java 3.6 Programming in Maple; title: Solution of a Linear PDE 4.1 Programming in MATLAB 4.2 Programming in C 4.3 Programming in C++ 4.4 Programming in Fortran 4.5 Programming in Java 4.6 Programming in Maple; title: Solution of a Nonlinear PDE 5.1 Programming in MATLAB 5.2 Programming in C 5.3 Programming in C++ 5.4 Programming in Fortran5.5 Programming in Java 5.6 Programming in Maple; title: AppendixA Embedded Runge Kutta Pairs; title: AppendixB Integrals from ODEs; title: AppendixC Stiff ODE Integration C.1 The BDF Formulas Applied to the 2x2 ODE System C.2 MATLAB Program for the Solution of the 2x2 ODE System C.3 MATLAB Program for the Solution of the 2x2 ODE System Using ode23s and ode15s; title: AppendixD Alternative Forms of ODEs; title: AppendixE Spatial p Refinement; title: AppendixF Testing ODE/PDE Codes