Involutive directions and new involutive divisions
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Publication:5948764
DOI10.1016/S0898-1221(00)00332-1zbMath1018.12010OpenAlexW2009709707MaRDI QIDQ5948764
Publication date: 12 November 2001
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00332-1
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of associative rings (general theory) (16Z05) Abstract differential equations (12H20)
Related Items
Involutive characteristic sets of algebraic partial differential equation systems, An implementation for the algorithm of Janet bases of linear differential ideals in the Maple system, ICS: A package for computing involutive characteristic set of algebraic partial differential equation systems, A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type
Cites Work
- Reducing systems of linear differential equations to a passive form
- The Riquier-Janet theory and its application to nonlinear evolution equations
- An algorithm for determining the size of symmetry groups
- Automated reasoning in differential geometry and mechanics using the characteristic set method. I: An improved version of Ritt-Wu's decomposition algorithm
- A zero structure theorem for differential parametric systems
- Involutive bases of polynomial ideals
- Minimal involutive bases
- Associative differential operations
- Involutive division techniques: some generalizations and optimizations
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