Acta Mathematica Vietnamica
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PARALLEL DIRECT COLLOCATION-BASED IMPLICIT RUNGE-KUTTA-NYSTRÖM METHODS WITH HIGH STABILITY
NGUYEN HUU CONGpp. 149-161
Abstract
In this paper, we study parallel iteration of predictor-corrector methods (parallel PC methods) with direct collocation-based implicit Runge-Kutta-Nyström-order ordinary differential equations (ODEs) on parallel computers. The parallel methods were constructed in order to achieve high stability. We will show that they are rather efficient for solving stiff initial-value problems.