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arXiv · 1209.4297

Parallel Semi-Implicit Time Integrators

Benjamin Ong·Andrew Melfi·Andrew Christlieb
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Abstract

In this paper, we further develop a family of parallel time integrators known as Revisionist Integral Deferred Correction methods (RIDC) to allow for the semi-implicit solution of time dependent PDEs. Additionally, we show that our semi-implicit RIDC algorithm can harness the computational potential of multiple general purpose graphical processing units (GPUs) in a single node by utilizing existing CUBLAS libraries for matrix linear algebra routines in our implementation. In the numerical experiments, we show that our implementation computes a fourth order solution using four GPUs and four CPUs in approximately the same wall clock time as a first order solution computed using a single GPU and a single CPU.

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Benjamin Ong, Andrew Melfi, Andrew Christlieb. 2012-09-19. Parallel Semi-Implicit Time Integrators. https://arxiv.org/abs/1209.4297

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