Stability of Runge-Kutta methods used in modular integration

@article{Owren1995StabilityOR,
  title={Stability of Runge-Kutta methods used in modular integration},
  author={Brynjulf Owren},
  journal={Journal of Computational and Applied Mathematics},
  year={1995},
  volume={62},
  pages={89-101}
}
  • B. Owren
  • Published 1995
  • Mathematics
  • Journal of Computational and Applied Mathematics
A pair of Runge-Kutta methods is applied to a system of ordinary differential equations in a modular fashion known as time point relaxation. For a class of two by two linear systems with constant coefficients, the concept of coupling stability is introduced. This is one way of measuring the loss of stability due to the decoupling of the system into two scalar subsystems. The strategy for handling the interactions between the two modules is controlled by a parameter, where certain choices of the… Expand
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N-7034 Trondheim, Norway E-mail address: bryn@sima.sintef
  • N-7034 Trondheim, Norway E-mail address: bryn@sima.sintef