Performance evaluation of mixed-precision Runge-Kutta methods for the solution of partial differential equations
Journal:
arXiv
Published Date:
Dec 21, 2024
Abstract
This work focuses on the numerical study of a recently published class of
Runge-Kutta methods designed for mixed-precision arithmetic. We employ the
methods in solving partial differential equations on modern hardware. In
particular we investigate what speedups are achievable by the use of mixed
precision and the dependence of the methods algorithmic compatibility with the
computational hardware. We use state-of-the-art software, utilizing the Ginkgo
library, which is designed to incorporate mixed precision arithmetic, and
perform numerical tests of 3D problems on both GPU and CPU architectures. We
show that significant speedups can be achieved but that performance depends on
solver parameters and performance of software kernels.
