18382

cuPentBatch – A batched pentadiagonal solver for NVIDIA GPUs

Andrew Gloster, Lennon O Naraigh, Khang Ee Pang
School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland
arXiv:1807.07382 [physics.comp-ph], (19 Jul 2018)

@article{gloster2018cupentbatch,

   title={cuPentBatch — A batched pentadiagonal solver for NVIDIA GPUs},

   author={Gloster, Andrew and Naraigh, Lennon O and Pang, Khang Ee},

   year={2018},

   month={jul},

   archivePrefix={"arXiv"},

   primaryClass={physics.comp-ph}

}

We introduce cuPentBatch – our own pentadiagonal solver for NVIDIA GPUs. The development of cuPentBatch has been motivated by applications involving numerical solutions of parabolic partial differential equations, which we describe. Our solver is written with batch processing in mind (as necessitated by parameter studies of various physical models). In particular, our solver is directed at those problems where only the right-hand side of the matrix changes as the batch solutions are generated. As such, we demonstrate that cuPentBatch outperforms the NVIDIA standard pentadiagonal batch solver gpsvInterleavedBatch for the class of physically-relevant computational problems encountered herein.
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