An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- 1 April 1979
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 33 (146) , 521-534
- https://doi.org/10.2307/2006293
Abstract
A class of linear implicit methods for numerical solution of stiff ODE’s is presented. These require only occasional calculation of the Jacobian matrix while maintaining stability. Especially, an effective second order stable algorithm with automatic stepsize control is designed and tested.Keywords
This publication has 4 references indexed in Scilit:
- A note on a recent result of rational approximations to the exponential functionBIT Numerical Mathematics, 1977
- Attainable order of rational approximations to the exponential function with only real polesBIT Numerical Mathematics, 1977
- Numerical Initial Value Problems in Ordinary Differential EquationsMathematics of Computation, 1973
- Error estimates for Runge-Kutta type solutions to systems of ordinary differential equationsThe Computer Journal, 1969