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Additive Runge-Kutta methods for stiff ordinary differential equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cooper, G. J. Sayfy, Ali |
| Copyright Year | 1983 |
| Abstract | Certain pairs of Runge-Kutta methods may be used additively to solve a system of n differential equations x' = J(t)x + g(t, x). Pairs of methods, of order p < 4, where one method is semiexplicit and A-stable and the other method is explicit, are obtained. These methods require the LU factorization of one n X n matrix, and p evaluations of g, in each step. It is shown that such methods have a stability property which is similar to a stability property of perturbed linear differential equations. 1. Introduction. In a recent article (2) the authors showed that certain pairs of methods may be used in an additive fashion to solve an initial value problem for a system of n differential equations x' = f(t, x), x(a) = xo, a - t - b, |
| Starting Page | 207 |
| Ending Page | 218 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0025-5718-1983-0679441-1 |
| Volume Number | 40 |
| Alternate Webpage(s) | http://www.ams.org/journals/mcom/1983-40-161/S0025-5718-1983-0679441-1/S0025-5718-1983-0679441-1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0025-5718-1983-0679441-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
