Diagonally implicit Runge-Kutta-Nystro¨m methods for oscillatory problems
SIAM Journal on Numerical Analysis
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Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
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Journal of Computational and Applied Mathematics
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ICCS '02 Proceedings of the International Conference on Computational Science-Part III
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Journal of Computational and Applied Mathematics
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Journal of Computational and Applied Mathematics
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Journal of Computational and Applied Mathematics
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Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
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Journal of Computational and Applied Mathematics
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Mathematics and Computers in Simulation
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Journal of Computational and Applied Mathematics
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It is the purpose of this paper to derive two-step hybrid methods for y^''=f(x,y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is shown and their properties are discussed. Some numerical experiments confirming the theoretical expectations are provided.