Computing differential characteristic sets by change of ordering

DOI10.1016/j.jsc.2009.09.004zbMath1194.68264OpenAlexW2159212455MaRDI QIDQ1034554

François Lemaire, Marc Moreno Maza, François Boulier

Publication date: 6 November 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2009.09.004

zbMATH Keywords

rankingdifferential algebracharacteristic setsPARDI

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items (12)

Algorithm for computing differential char sets efficiently ⋮ Linear sparse differential resultant formulas ⋮ Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability ⋮ Differential elimination by differential specialization of Sylvester style matrices ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ Ritt-Wu characteristic set method for Laurent partial differential polynomial systems ⋮ Elimination theory in differential and difference algebra ⋮ An equivalence theorem for regular differential chains ⋮ Bivariate triangular decompositions in the presence of asymptotes ⋮ Differential Algebra and System Modeling in Cellular Biology ⋮ Symmetry-based algorithms for invertible mappings of polynomially nonlinear PDE to linear PDE ⋮ Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form

Uses Software

• Epsilon
• BLAD

Cites Work

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• On the theories of triangular sets
• Optimizations of the subresultant algorithm
• The differential ideal \([P : M^ \infty\).]
• Change of order for regular chains in positive dimension
• Associative differential operations
• PARDI!
• New perspectives in control theory for partial differential equations
• Reduction of systems of nonlinear partial differential equations to simplified involutive forms
• Specializations in Differential Algebra
• Unmixed-dimensional decomposition of a finitely generated perfect differential ideal

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