Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
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A01=H.J. Lee
A01=W.E. Schiesser
advanced ODE PDE integration routines
algorithm implementation
Author_H.J. Lee
Author_W.E. Schiesser
boundary value problems
Category=PB
Classical Fourth Order RK
Classical Fourth Order RK Method
computational mathematics
condition
Dependent Variable Vector
derivative
Derivative Vector
double
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Error Tolerances
Error Violation
Euler Method
implicit
Implicit Double Precision
Implicit Euler Method
initial
Integration Step
integrator
Linear PDE
Nonlinear PDE
numerical analysis
ode
Ode Integrator
Ode Problem
Ode Solution
Ode System
Order ODEs
PDE Problem
precision
problem
RK Fehlberg
RK Method
RK Pair
RK Step
scientific computing
Spatial Discretization Errors
stiff equation solver
Truncation Error
Truncation Error Estimate
vector
Product details
- ISBN 9781584884231
- Weight: 1130g
- Dimensions: 156 x 234mm
- Publication Date: 24 Nov 2003
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
