The purpose of this paper is to employ graphics processing units for the numerical solution of large systems of weakly singular Volterra Integral Equations (VIEs), by means of Waveform Relaxation (WR) methods. A CUDA solver based on different kinds of WR iterations is developed. Numerical results on large systems of VIEs arising from the semi-discretization in space of fractional diffusion-wave equations are presented, showing the obtained speed-up.
Parallel methods for weakly singular Volterra Integral Equations on GPUs
CONTE, Dajana;PATERNOSTER, Beatrice
2017
Abstract
The purpose of this paper is to employ graphics processing units for the numerical solution of large systems of weakly singular Volterra Integral Equations (VIEs), by means of Waveform Relaxation (WR) methods. A CUDA solver based on different kinds of WR iterations is developed. Numerical results on large systems of VIEs arising from the semi-discretization in space of fractional diffusion-wave equations are presented, showing the obtained speed-up.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
