Equilibrium states of Runge-Kutta schemes: part II

  title={Equilibrium states of Runge-Kutta schemes: part II},
  author={George Hall},
  journal={ACM Trans. Math. Softw.},
A theory is given that accounts for the observed behavior of Runge-Kutta codes when the stepsize is restricted by stability. The theory deals with the general case when the dominant eigenvalues of the Jacobian may be a complex conjugate pair. This extends and generalizes the results of Part I of this paper, which deal with the real case. Familiarity with Part I is assumed, but not essential.