Parallel methods for weakly singular Volterra integral equations on GPUs

被引：9

作者：

Conte, Dajana ^{[1
]}

Paternoster, Beatrice ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo II 132, I-84084 Fisciano, Sa, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 114卷

关键词：

Waveform relaxation; General purpose GPU computing; Parallel computing; Large systems of weakly singular Volterra; integral equations; COLLOCATION METHODS; DIFFERENTIAL-EQUATIONS; CONVOLUTION QUADRATURE; ABEL TYPE; 2-STEP; SYSTEMS; PERFORMANCE;

D O I：

10.1016/j.apnum.2016.04.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：30 / 37

页数：8

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