Diagonally implicit Runge-Kutta-Nystro¨m methods for oscillatory problems
SIAM Journal on Numerical Analysis
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
On the generation of mono-implicit Runge-Kutta-Nystro¨m methods by mono-implicit Runge-Kutta methods
Journal of Computational and Applied Mathematics
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
A conditionally P-stable fourth-order exponential-fitting method for y'' = f(f, y)
Journal of Computational and Applied Mathematics
Mixed collocation methods for y′′=fx,y
Journal of Computational and Applied Mathematics
Weights of the exponential fitting multistep algorithms for first-order ODEs
Journal of Computational and Applied Mathematics
Frequency evaluation in exponential fitting multistep algorithms for ODEs
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Exponential fitted Runge--Kutta methods of collocation type: fixed or variable knot points?
Journal of Computational and Applied Mathematics
Stability regions of one step mixed collocation methods for y″=f(x,y)
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
An explicit Numerov-type method for second-order differential equations with oscillating solutions
Computers & Mathematics with Applications
Phase-fitted and amplification-fitted two-step hybrid methods for y˝=f(x,y)
Journal of Computational and Applied Mathematics
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This paper provides an investigation of the stability properties of a family of exponentially fitted Runge-Kutta-Nyström (EFRKN) methods. P-stability is a very important property usually demanded for the numerical solution of stiff oscillatory second-order initial value problems. P-stable EFRKN methods with arbitrary high order are presented in this work. We have proved our results based on a symmetry argument.