Parallel Semi-Implicit Time Integrators
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2012
- DOI:
- 10.48550/arXiv.1209.4297
- arXiv:
- arXiv:1209.4297
- Bibcode:
- 2012arXiv1209.4297O
- Keywords:
-
- Computer Science - Distributed;
- Parallel;
- and Cluster Computing;
- Mathematics - Numerical Analysis;
- 65L05;
- 65Y05;
- 65L20