has characteristic Rosenbrock method 2007-11-12 http://identifiers.org/biosimulators/ecell4 http://identifiers.org/doi/10.1093/comjnl/5.4.329 http://identifiers.org/isbn/052143064X Kaps-Rentrop method Some general implicit processes are given for the solution of simultaneous first-order differential equations. These processes, which use successive substitution, are implicit analogues of the (explicit) Runge-Kutta processes. They require the solution in each time step of one or more set of simultaneous linear equations, usually of a special and simple form. Processes of any required order can be devised, and they can be made to have a wide margin of stability when applied to a linear problem. dk generalized fourth order Runge-Kutta method Runge-Kutta based method deterministic system behaviour progression with fixed time step implicit method type ordinary differential equation problem