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Zhang, Shan-Qing; Zhang, Gui-Xu; Li, Zhi-Bin

ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems. (English) Zbl 1067.65154

Appl. Math. Comput. 160, No. 2, 551-577 (2005).
Summary: A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones is presented. Based on it, an implementation ICS for computing the involutive characteristic set (ICS) of an algebraic partial differential equation system is given. Some examples are tested with ICS and some experimental results are obtained which may show a hint for computing the involutive characteristic set of arbitrary algebraic partial differential equation systems thereafter.

MSC:

65Y15 Packaged methods for numerical algorithms
35R10 Partial functional-differential equations
58A15 Exterior differential systems (Cartan theory)
35G20 Nonlinear higher-order PDEs
68W30 Symbolic computation and algebraic computation

Keywords:

algebraic partial differential equation systems; numerical examples; exterior differential systems; differential algebra; involutive characteristic set; Symbolic computation

Software:

ICS
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Full Text: DOI

References:

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