High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method

被引：2

作者：

Cyphers, C

Paprzycki, M

Karageorghis, A

机构：

[1] UNIV TEXAS PERMIAN BASIN, DEPT MATH & COMP SCI, ODESSA, TX 79762 USA

[2] UNIV CYPRUS, DEPT MATH & STAT, NICOSIA 1678, CYPRUS

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 69卷 / 01期

关键词：

almost block diagonal systems; collocation; domain decomposition; high performance solution; spectral methods;

D O I：

10.1016/0377-0427(95)00029-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a Newton-type iterative process an efficient method to solve it needs to be provided. A level 3 BLAS-based algorithm is presented and its efficiency is studied.

引用

页码：71 / 80

页数：10

共 22 条

[1]

ANDERSON E, 1993, LAPACK USERS GUIDE

[2]

ON PARALLEL METHODS FOR BOUNDARY-VALUE ODES [J].