Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods

Journal of Computational and Applied Mathematics

Volumn 132, Issue 1, 2001, Pages 95-105

  Vanden Berghe, G ^a   Ixaru, L Gr ^a   De Meyer, H ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Explicit Runge Kutta methods; Exponential fitting; Initial value problems; Oscillating solutions

Indexed keywords

DIFFERENTIAL EQUATIONS; EXTRAPOLATION; INITIAL VALUE PROBLEMS; INTEGRATION;

EXPONENTIALLY FITTED RUNGE-KUTTA (EFRK) FIFTH-ORDER METHOD;

RUNGE KUTTA METHODS;

MATHEMATICAL METHOD;

EID: 0035396968     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00602-6     Document Type: Article

References (16)

1. Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
2. Numerical integration of ordinary differential equations based on trigonometric polynomials
3. Operations on oscillatory functions
4. Chebyshevian multistep methods for ordinary differential equations
5. Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials
6. A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems
7. An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
8. New embedded explicit methods with minimal phase-lag for the numerical integration of the Schrödinger equation
9. Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations
10. Exponentially-fitted explicit Runge-Kutta methods
11. Exponentially-fitted Runge-Kutta methods
12. Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solution
13. Phase-lag analysis of implicit Runge-Kutta methods
14. On the numerical integration of second order initial value problems with a periodic forcing force