Computers & Mathematics with Applications
Increasing availability of parallel computers has recently spurred a substantial amount of research concerned with designing explicit Runge-Kutta methods to be implemented on such computers. Here, we discuss a family of methods that require fewer processors than methods presently available do, still achieving a similar speed-up. In particular, (5,6) and (6,7) pairs are derived, that require a minimum number of function evaluations on two and three processors, respectively.
Original Publication Citation
Bogacki, P. (1996). A family of parallel Runge-Kutta pairs. Computers & Mathematics with Applications, 31(6), 23-31. doi:10.1016/0898-1221(96)00003-x
Bogacki, P., "A Family of Parallel Runge-Kutta pairs" (1996). Mathematics & Statistics Faculty Publications. 137.