A Test for Instability in the Numerical Solution of Ordinary Differential Equations
- 1 April 1967
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 14 (2) , 351-354
- https://doi.org/10.1145/321386.321398
Abstract
A procedure is described to test the individual components of the numerical solution to a system of differential equations for relative instability. Although the test is based on the theory for linear differential equations, it has also worked for nonlinear problems. Extra computation is negligible; the test involves checking the signs of previously computed numbersKeywords
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