Matches in UGent Biblio for { ?s ?p The construction of symmetric and symplectic exponentially-fitted Runge-Kutta methods of Gauss type for the numerical integration of Hamiltonian systems with oscillatory solutions is revisited. In this paper new such two-, three- and four-step integrators are constructed and discussed by making use of the six-step procedure of Ixaru and Vanden Berghe (Exponential fitting, Kluwer Academic Publishers, 2004). Numerical experiments for some oscillatory problems are presented and compared to the results obtained by previous methods for three-stage methods.. }
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- aggregation abstract "The construction of symmetric and symplectic exponentially-fitted Runge-Kutta methods of Gauss type for the numerical integration of Hamiltonian systems with oscillatory solutions is revisited. In this paper new such two-, three- and four-step integrators are constructed and discussed by making use of the six-step procedure of Ixaru and Vanden Berghe (Exponential fitting, Kluwer Academic Publishers, 2004). Numerical experiments for some oscillatory problems are presented and compared to the results obtained by previous methods for three-stage methods.".