EDS: A REDUCE package for exterior differential systems

DOI10.1016/S0010-4655(96)00138-5zbMath0927.65153OpenAlexW2035184601WikidataQ125055614 ScholiaQ125055614MaRDI QIDQ1292596

David Hartley

Publication date: 14 December 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(96)00138-5

zbMATH Keywords

symbolic computationREDUCE packagepartial differential equationsexterior differential systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear higher-order PDEs (35G20) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Packaged methods for numerical algorithms (65Y15)

Related Items (2)

Computer algebra solution of the inverse problem in the calculus of variations ⋮ EDS

Uses Software

• REDUCE

Cites Work

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• Equations for twisting, type-N, vacuum Einstein spaces without a need for Killing vectors
• A constructive implementation of the Cartan-Kähler theory of exterior differential systems
• Gröbner bases in Clifford and Grassmann algebras
• Index Concepts for General Systems of Partial Differential Equations
• Immersion ideals and the causal structure of Ricci-flat geometries
• Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
• Type-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>Gravitational Field with Twist

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