Brief Announcement: Faster Stencil Computations using Gaussian Approximations

被引：3

作者：

Ahmad, Zafar ^{[1
]}

Chowdhury, Rezaul ^{[1
]}

Das, Rathish ^{[2
]}

Ganapathi, Pramod ^{[1
]}

Gregory, Aaron ^{[1
]}

Zhu, Yimin ^{[1
]}

机构：

[1] SUNY Stony Brook, Stony Brook, NY 11794 USA

[2] Univ Waterloo, Waterloo, ON N2L 3G1, Canada

来源：

PROCEEDINGS OF THE 34TH ACM SYMPOSIUM ON PARALLELISM IN ALGORITHMS AND ARCHITECTURES, SPAA 2022 | 2022年

基金：

加拿大自然科学与工程研究理事会;

关键词：

Linear Stencil; Gaussian Approximation; Fast Gauss Transform; FINITE-DIFFERENCE;

D O I：

10.1145/3490148.3538558

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Stencil computations are widely used to simulate the change of state of physical systems. The current best algorithm for performing aperiodic linear stencil computations on a d(>= 1)-dimensional grid of size N for T timesteps does (Theta) over tilde (TN1-1/d + N log N) work. We introduce novel techniques based on random walks and Gaussian approximations for an asymptotic improvement of this work bound for a class of linear stencils. We also improve the span (i.e., parallel running time on an unbounded number of processors) asymptotically from the current state of the art.

引用

页码：291 / 293

页数：3

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