On the acceleration of the numerical solution of partial differential equations using radial basis functions and graphics processing units

摘要

General purpose computation on graphics processing units is becoming very important as a means for speeding up numerical computations. In this research, nVidia's Compute Unified Device Architecture (CUDA) language is used along with a graphics processing unit to accelerate the generation of the system matrix for the numerical solution of a partial differential equation employing radial basis functions. Details of the CUDA implementation as well as speedup curves using several different graphics processing units will be discussed.