poster

Thomas decomposition and its applications

Authors:

Thomas Bächler,

Vladimir Gerdt,

Markus Lange-Hegermann,

Wilhelm Plesken,

Daniel RobertzAuthors Info & Claims

ACM Communications in Computer Algebra, Volume 44, Issue 3/4

Pages 91 - 92

https://doi.org/10.1145/1940475.1940480

Published: 28 January 2011 Publication History

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Abstract

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References

[1]

Thomas Bachler and Markus Lange-Hegermann, AlgebraicThomas and DifferentialThomas: Thomas decomposition for algebraic and differential systems, 2008-2010, (http://wwwb.math.rwth-aachen.de/thomasdecomposition/).

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Vladimir P. Gerdt, On decomposition of algebraic PDE systems into simple subsystems, Acta Appl. Math. 101 (2008), no. 1-3, 39--51. MR MR2383543 (2009c:35003)

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Maurice Janet, Leçons sur les systémes des équationes aux dérivées partielles, Cahiers Scientifiques IV, Gauthiers-Villars, Paris, 1929.

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Wilhelm Plesken, Counting solutions of polynomial systems via iterated fibrations, Arch. Math. (Basel) 92 (2009), no. 1, 44--56. MR MR2471987 (2010a:13051)

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Joseph M. Thomas, Differential systems, AMS Colloquium Publications vol XXI, 1937.

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_________, Systems and roots, The William Byrd Press, INC, Richmond Virginia, 1962.

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Dongming Wang, Decomposing polynomial systems into simple systems, J. Symbolic Comput. 25 (1998), no. 3, 295--314. MR MR1615318 (99d:68130)

Digital Library

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_________, Elimination methods, Texts and Monographs in Symbolic Computation, Springer-Verlag, Vienna, 2001. MR MR1826878 (2002i:13040)

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Thomas decomposition and its applications

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Published In

cover image ACM Communications in Computer Algebra

ACM Communications in Computer Algebra Volume 44, Issue 3/4

September/December 2010

145 pages

ISSN:1932-2232

EISSN:1932-2240

DOI:10.1145/1940475

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Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 28 January 2011

Published in SIGSAM-CCA Volume 44, Issue 3/4

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