Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
- 1 October 1998
- journal article
- Published by Elsevier in Applied Numerical Mathematics
- Vol. 28 (2-4) , 401-412
- https://doi.org/10.1016/s0168-9274(98)00056-7
Abstract
No abstract availableKeywords
This publication has 19 references indexed in Scilit:
- Operations on oscillatory functionsComputer Physics Communications, 1997
- P-stability and exponential-fitting methods for y'' = f(x,y)IMA Journal of Numerical Analysis, 1996
- A Runge—Kutta—Nyström method for the numerical integration of special second-order periodic initial-value problemsJournal of Computational and Applied Mathematics, 1994
- Fully parallel Runge-Kutta-Nyström methods for ODEs with oscillating solutionsApplied Numerical Mathematics, 1993
- A four-step phase-fitted method for the numerical integration of second order initial-value problemsBIT Numerical Mathematics, 1991
- Numerical Methods for y″ =f(x, y) via Rational Approximations for the CosineIMA Journal of Numerical Analysis, 1989
- A New Theoretical Approach to Runge–Kutta MethodsSIAM Journal on Numerical Analysis, 1987
- Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equationComputer Physics Communications, 1987
- Families of methods for ordinary differential equations based on trigonometric polynomialsJournal of Computational and Applied Mathematics, 1984
- Numerical integration of ordinary differential equations based on trigonometric polynomialsNumerische Mathematik, 1961