Investigation of ODE integrators using interactive graphicsIn the present paper, two FORTRAN programs are described which use an interactive graphic terminal to generate accuracy and stability plots for a given multistep integrator of ordinary differential equations (ODE). One program treats the fixed-stepsize linear case with complex variable solutions, and generates plots to show accuracy and error response to step driving function of a numerical solution. It also generates the linear stability region. The other program generates an analog with an accuracy plot. Both systems are capable of computing method coefficients from a simple specification of the method. Example plots are given.
Document ID
19790056643
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Brown, R. L. (Virginia, University Charlottesville, Va., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Subject Category
Numerical Analysis
Meeting Information
Meeting: International Symposium on Simulation Software and Numerical Methods for Differential Equations