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

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. Copyright © 2012 John Wiley & Sons, Ltd.