On Decomposition of Algebraic PDE Systems into Simple Subsystems

被引：0
|
作者：
Vladimir P. Gerdt
机构：
[1] Joint Institute for Nuclear Research,
来源：
Acta Applicandae Mathematicae | 2008年 / 101卷
关键词：
PDEs; Completion to involution; Algebraically simple system; Decomposition algorithm; Thomas splitting method; Gröbner basis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we present an algorithmization of the Thomas method for splitting a system of partial differential equations and (possibly) inequalities into triangular subsystems whose Thomas called simple. The splitting algorithm is applicable to systems whose elements are differential polynomials in unknown functions and polynomials in independent variables. Simplicity properties of the subsystems make easier their completion to involution. Our algorithmization uses algebraic Gröbner bases to avoid some unnecessary splittings.
引用
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页码：39 / 51
页数：12
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