A Class of Explicit Two-Step Runge-Kutta Methods with Enlarged Stability Regions for Parallel Computers

Helmut Podhaisky,Rüdiger Weiner

doi:10.1007/3-540-49164-3_7

A Class of Explicit Two-Step Runge-Kutta Methods with Enlarged Stability Regions for Parallel Computers

Helmut Podhaisky, Rüdiger Weiner

https://doi.org/10.1007/3-540-49164-3_7

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Publication Date: Jan 1, 1999

Citations: 6

Affiliation: Martin Luther University Halle-Wittenberg

#Runge-Kutta Methods #Two-Step Runge-Kutta Methods + Show 8 more

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Abstract

In this paper we study a class of explicit pseudo two-step Runge-Kutta (EPTRK) methods for first-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 effcient sequential Runge-Kutta method dopri5.

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