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

East China Normal University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	551-577
Number of pages	27
Journal	Applied Mathematics and Computation
Volume	160
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2003.11.021
State	Published - 14 Jan 2005

Keywords

Involutive characteristic set
Partial differential equations
Symbolic computation

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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.",

keywords = "Involutive characteristic set, Partial differential equations, Symbolic computation",

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

year = "2005",

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doi = "10.1016/j.amc.2003.11.021",

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AU - Zhang, Shan Qing

AU - Zhang, Gui Xu

AU - Li, Zhi Bin

PY - 2005/1/14

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

JF - Applied Mathematics and Computation

IS - 2

ER -

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

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Keywords

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