We consider the parallel solution of nonstiff ordinary differential equations with two different classes of Runge-Kutta (RK) methods providing embedded solutions: classical embedded RK methods and iterated RK methods which were constructed for parallel execution. For embedded RK methods, the potential system parallelism is exploited. Iterated RK methods provide an additional source of parallelism in the form of independent function evaluations, but they usually require a larger number of function evaluations.
['Stephan Bergmann', 'Thomas Rauber', 'Gudula Rünger']
Parallel Execution of Embedded Runge-Kutta Methods