A DIRECT SOLVER FOR THE LEGENDRE TAU APPROXIMATION FOR THE TWO-DIMENSIONAL POISSON PROBLEM

被引：0
|
作者：
Jun, SeRan [1 ]
Kang, Sungkwon [2 ]
Kwon, YongHoon [3 ]
机构：
[1] Univ Calif Berkeley, Berkeley, CA 94720 USA
[2] Chosun Univ, Dept Math, Kwangju 501759, South Korea
[3] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2007年 / 23卷 / 1-2期
关键词：
Legendre tau method; Poisson equation; direct solver;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem is proposed. Using the factorization of symmetric eigenvalue problem, the algorithm overcomes the weak points of the Schur decomposition and the conventional diagonalization techniques for the Legendre tau approximation. The convergence of the method is proved and numerical results are presented. AMS Mathematics Subject Classification : 65M70, 35J05, 65F15
引用
收藏
页码：25 / 42
页数：18
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