Explicit methods for mildly stiff oscillatory systems |
| |
| Authors: | Leif Abrahamsson Heinz-Otto Kreiss |
| |
| Institution: | (1) National Defence Research Establishment, S-172 90 Sundbyberg, Sweden;(2) Department of Mathematics, University of California, 90024 Los Angeles, California, USA |
| |
| Abstract: | We discuss error control for explicit methods when the stepsize is bounded by stability on the imaginary axis. Our main result is a formulation of a condition on the estimator of the local error which prevents the fast components to exceed the prescribed error tolerance. A PECE Adams method of 4th order accuracy is proposed for mildly stiff oscillatory systems. For comparison we also discuss embedded Runga-Kutta methods.Partially supported by the Office of Naval Research N00014-90-J-1382 |
| |
| Keywords: | 65L05 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
