THE ALGEBRAIC KERNEL-METHOD FOR THE NUMERICAL-SOLUTION OF PARTIAL-DIFFERENTIAL EQUATIONS

被引：2

作者：

HOSSEINI, M ^{[1
]}

ABADI, A ^{[1
]}

ORTIZ, EL ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT MATH,ASCOT SL5 7PY,BERKS,ENGLAND

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1991年 / 12卷 / 3-4期

关键词：

D O I：

10.1080/01630569108816433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two interrelated sequences of polynomials associated with linear partial differential operators with polynomial coefficients are considered. They are the elements of its algebraic kernel and the sequence of canonical polynomials associated with it. These two sequences are used as bases for the numerical approximation of nonhomogeneous partial differential equations by means of two closely related techniques: the Algebraic Kernel Method and a recursive formulation of the Tau Method in two variables discussed in this paper.

引用

页码：339 / 360

页数：22

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