THE CHEBYSHEV LEGENDRE METHOD - IMPLEMENTING LEGENDRE METHODS ON CHEBYSHEV POINTS

被引：67

作者：

DON, WS

GOTTLIEB, D

机构：

[1] Brown Univ, Providence, RI

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 06期

关键词：

CHEBYSHEV LEGENDRE; PENALTY METHOD; DIFFERENTIATION MATRIX; STABILITY;

D O I：

10.1137/0731079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new collocation method for the numerical solution of partial differential equations is presented. This method uses the Chebyshev collocation points, but, because of the way the boundary conditions are implemented, it has all the advantages of the Legendre methods. In particular L2 estimates can be easily obtained for hyperbolic and parabolic problems.

引用

页码：1519 / 1534

页数：16

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