  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.
