Parallel Software to Offset the Cost of Higher Precision
Mathematical Software
2020-12-15 v1 Distributed, Parallel, and Cluster Computing
Numerical Analysis
Symbolic Computation
Algebraic Geometry
Numerical Analysis
Abstract
Hardware double precision is often insufficient to solve large scientific problems accurately. Computing in higher precision defined by software causes significant computational overhead. The application of parallel algorithms compensates for this overhead. Newton's method to develop power series expansions of algebraic space curves is the use case for this application.
Cite
@article{arxiv.2012.06607,
title = {Parallel Software to Offset the Cost of Higher Precision},
author = {Jan Verschelde},
journal= {arXiv preprint arXiv:2012.06607},
year = {2020}
}
Comments
The paper corresponds to a talk given by the author at the HILT 2020 Workshop on Safe Languages and Technologies for Structured and Efficient Parallel and Distributed/Cloud Computing, 16-17 November 2020