A Class of Explicit Two - Step Runge - KuttaMethods with Enlarged Stability Regions

نویسنده

  • Helmut Podhaisky
چکیده

In this paper we study a class of explicit pseudo two-step Runge-Kutta (EP-TRK) methods for rst-order ODEs for parallel computers. We investigate linear stability and derive methods with enlarged stability regions. In numerical experiments on a shared memory computer we compare a parallel variable step size EPTRK implementation with the eecient sequential Runge-Kutta method dopri5.

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تاریخ انتشار 1999