Equilibrium states of Runge-Kutta schemes: part II
GEORGE G. HALL · ACM Transactions on Mathematical Software · 1986
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.