ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems

Shan Qing Zhang; Gui Xu Zhang; Zhi Bin Li

doi:10.1016/j.amc.2003.11.021

ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems

Shan Qing Zhang
, Gui Xu Zhang
, Zhi Bin Li^*

^*此作品的通讯作者

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for computing the involutive characteristic set of an algebraic partial differential equation systems is given. Some examples are tested with ICS and some experimental results are obtained which may show a hint for computing involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter.

源语言	英语
页（从-至）	551-577
页数	27
期刊	Applied Mathematics and Computation
卷	160
期	2
DOI	https://doi.org/10.1016/j.amc.2003.11.021
出版状态	已出版 - 14 1月 2005

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10.1016/j.amc.2003.11.021

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title = "ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems",

abstract = "A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for computing the involutive characteristic set of an algebraic partial differential equation systems is given. Some examples are tested with ICS and some experimental results are obtained which may show a hint for computing involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter.",

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author = "Zhang, \{Shan Qing\} and Zhang, \{Gui Xu\} and Li, \{Zhi Bin\}",

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AU - Li, Zhi Bin

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Y1 - 2005/1/14

N2 - A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for computing the involutive characteristic set of an algebraic partial differential equation systems is given. Some examples are tested with ICS and some experimental results are obtained which may show a hint for computing involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter.

AB - A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for computing the involutive characteristic set of an algebraic partial differential equation systems is given. Some examples are tested with ICS and some experimental results are obtained which may show a hint for computing involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter.

KW - Involutive characteristic set

KW - Partial differential equations

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/9644288114

U2 - 10.1016/j.amc.2003.11.021

DO - 10.1016/j.amc.2003.11.021

M3 - 文章

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SN - 0096-3003

VL - 160

SP - 551

EP - 577

JO - Applied Mathematics and Computation

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ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems

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