In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency.
This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explicit RK method while a Rosenbrock method is used for the stiff subsystem. The paper discusses numerical stability, and the numerical tests are conducted on a multiprocessor system.
