A Note on Extrapolation Methods for Second Order ODE Systems.
Please always quote using this URN: urn:nbn:de:0297-zib-79
- A slight modification of the extended Stoermer discretization for non self-adjoint second order ODE systems is derived on the basis of a simple stability analysis. This discretization easily extends to implicit ODE systems, which are known to arise e.g. in mechanical engineering. In addition, a special variant of semi-implicit Euler discretization is proposed, which essentially treats the state variables explicitly, but their derivatives implicitly. Numerical tests over critical parameter values of the van der Pol oscillator illustrate the domain of efficiency of the suggested discretizations.
| Author: | Peter Deuflhard |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1987/07/21 |
| Series (Serial Number): | ZIB-Report (SC-87-05) |
| ZIB-Reportnumber: | SC-87-05 |
