[Table of Contents]

Plasma and Fusion Research

Volume 5, S2115 (2010)

Regular Articles

Numerical Investigations of Variable Preconditioned GCR with Mixed Precision on GPU
Soichiro IKUNO, Shuntaro DEKI and Norihisa FUJITA
Tokyo University of Technology, Katakura 1404-1, Hachioji, Tokyo 192-0982, Japan
(Received 9 December 2009 / Accepted 8 February 2010 / Published 10 December 2010)

Abstract

The Variable Preconditioned GCR (VPGCR) with mixed precision on Graphics Processing Unit (GPU) using CUDA is numerically investigated. The convergence theorem of VPGCR is guaranteed that the residual equation can be solved in the range of single precision, which means that VPGCR is applicable method to elicit the high performance of GPU. The results of computations show that VPGCR with mixed precision demonstrated significant achievement than that with double precision operation. Especially, the hybrid VPGCR on GPU is 10.10 times faster than that of CPU, and the standard VPGCR on GPU is 10.36 times faster than that of CPU.

Keywords

VPGCR method, GPGPU, CUDA, mixed precision, linear system

DOI: 10.1585/pfr.5.S2115

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References

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  • [2] http://gpgpu.org/
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  • [5] http://www.nvidia.com/object/cuda develop.html

This paper may be cited as follows:

Soichiro IKUNO, Shuntaro DEKI and Norihisa FUJITA, Plasma Fusion Res. 5, S2115 (2010).