Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

  • Authors:
  • N. Del Buono;C. Mastroserio

  • Affiliations:
  • Dipartimento Interuniversitario di Matematica, Via Orabona 4, I-70125 Bari, Italy;Dipartimento Interuniversitario di Matematica, Via Orabona 4, I-70125 Bari, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
  • Year:
  • 2002

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Abstract

This paper concerns the study of explicit 4-stage fourth order Runge-Kutta methods which preserve quadratic conservation laws when their weights are made solution dependent. Application to orthogonal and Hamiltonian linear systems and numerical tests are also reported.