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A constructive implementation of the Cartan-Kähler theory of exterior differential systems

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A constructive implementation of the Cartan-Kähler theory of exterior differential systems. / Hartley, David; Tucker, Robin.
In: Journal of Symbolic Computation, Vol. 12, No. 6, 12.1991, p. 655-667.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Hartley D, Tucker R. A constructive implementation of the Cartan-Kähler theory of exterior differential systems. Journal of Symbolic Computation. 1991 Dec;12(6):655-667. doi: 10.1016/S0747-7171(08)80146-0

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Hartley, David ; Tucker, Robin. / A constructive implementation of the Cartan-Kähler theory of exterior differential systems. In: Journal of Symbolic Computation. 1991 ; Vol. 12, No. 6. pp. 655-667.

Bibtex

@article{e053861d574c4ab0b16b4334c5f58e88,
title = "A constructive implementation of the Cartan-K{\"a}hler theory of exterior differential systems",
abstract = "An efficient algorithm for the construction of a regular chain of involutive integral elements for a general exterior differential system is presented. It is based upon the existence theorems of the Cartan-K{\"a}hler theory, and may be used to analyse partial differential equations by formulating them as exterior differential systems.",
author = "David Hartley and Robin Tucker",
year = "1991",
month = dec,
doi = "10.1016/S0747-7171(08)80146-0",
language = "English",
volume = "12",
pages = "655--667",
journal = "Journal of Symbolic Computation",
issn = "0747-7171",
publisher = "Academic Press Inc.",
number = "6",

}

RIS

TY - JOUR

T1 - A constructive implementation of the Cartan-Kähler theory of exterior differential systems

AU - Hartley, David

AU - Tucker, Robin

PY - 1991/12

Y1 - 1991/12

N2 - An efficient algorithm for the construction of a regular chain of involutive integral elements for a general exterior differential system is presented. It is based upon the existence theorems of the Cartan-Kähler theory, and may be used to analyse partial differential equations by formulating them as exterior differential systems.

AB - An efficient algorithm for the construction of a regular chain of involutive integral elements for a general exterior differential system is presented. It is based upon the existence theorems of the Cartan-Kähler theory, and may be used to analyse partial differential equations by formulating them as exterior differential systems.

U2 - 10.1016/S0747-7171(08)80146-0

DO - 10.1016/S0747-7171(08)80146-0

M3 - Journal article

VL - 12

SP - 655

EP - 667

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

SN - 0747-7171

IS - 6

ER -