Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Runge-Kutta(-Nystro¨m) methods for ODEs with periodic solutions based on trigonometric polynomials
Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
Exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators
Journal of Computational and Applied Mathematics
Exponentially fitted explicit Runge-Kutta-Nyström methods
Journal of Computational and Applied Mathematics
Frequency evaluation for exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics
A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
Applied Numerical Mathematics
Analysis of trigonometric implicit Runge-Kutta methods
Journal of Computational and Applied Mathematics
Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
Journal of Computational and Applied Mathematics
Functionally fitted explicit pseudo two-step Runge--Kutta methods
Applied Numerical Mathematics
Frequency evaluation for exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics
New embedded explicit pairs of exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics
Hi-index | 7.30 |
An embedded pair of exponentially fitted explicit Runge-Kutta (RK) methods for the numerical integration of IVPs with oscillatory solutions is derived. This pair is based on the exponentially fitted explicit RK method constructed in Vanden Berghe et al., and we confirm that the methods which constitute the pair have algebraic order 4 and 3. Some numerical experiments show the efficiency of our pair when it is compared with the variable step code proposed by Vanden Berghe et al. (J. Comput. Appl. Math. 125 (2000) 107).