Two-step almost p-stable complete in phase methods for the numerical integration of second order periodic initial-value problems
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 46 (1-2) , 77-85
- https://doi.org/10.1080/00207169208804140
Abstract
Some two-step almost P-stable methods with phase-lag of order infinite are developed for the numerical integration of second order periodic initial-value problem. One of them has algebraic order four and the other has algebraic order six. Extensive numerical testing indicates that these new methods are generally more accurate than other two-step methods.Keywords
This publication has 10 references indexed in Scilit:
- Numerical Methods for y″ =f(x, y) via Rational Approximations for the CosineIMA Journal of Numerical Analysis, 1989
- Predictor-Corrector Methods for Periodic Second-Order Initial-Value ProblemsIMA Journal of Numerical Analysis, 1987
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating SolutionsSIAM Journal on Numerical Analysis, 1987
- An explicit sixth-order method with phase-lag of order eight for y″ = f(t, y)Journal of Computational and Applied Mathematics, 1987
- Two-step fourth-order P-stable methods with phase-lag of order six for y″ = f(t, y)Journal of Computational and Applied Mathematics, 1986
- On the numerical integration of second-order initial value problems with a periodic forcing functionComputing, 1986
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: explicit methodJournal of Computational and Applied Mathematics, 1986
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problemsJournal of Computational and Applied Mathematics, 1984
- Phase properties of high order, almostP-stable formulaeBIT Numerical Mathematics, 1984
- Stabilization of Cowell's methodNumerische Mathematik, 1969