Sufficient set of integrability conditions of an orthonomic system
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Publication:2655286
DOI10.1007/s10208-008-9039-8zbMath1180.35381OpenAlexW2001570681MaRDI QIDQ2655286
Publication date: 25 January 2010
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.7842
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Abstract differential equations (12H20) Overdetermined systems of PDEs with variable coefficients (35N10)
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- On an installation of Buchberger's algorithm
- A new efficient algorithm for computing Gröbner bases \((F_4)\)
- Gröbner bases and involutive methods for algebraic and differential equations
- Review of symbolic software for Lie symmetry analysis
- Mayer brackets and solvability of PDEs. I
- The integration of systems of linear PDEs using conservation laws of syzygies
- Involutive bases of polynomial ideals
- An optimization of Seidenberg's elimination algorithm in differential algebra.
- Detecting unnecessary reductions in an involutive basis computation
- Efficiently computing minimal sets of critical pairs
- Algorithm 628
- Linear expected-time algorithms for connectivity problems
- Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
- Reduction of systems of nonlinear partial differential equations to simplified involutive forms
- Differential Elimination–Completion Algorithms for DAE and PDAE
- Mayer brackets and solvability of PDEs – II