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 ;
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.
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页码：71 / 80
页数：10
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