Algorithms and methods in differential algebra
From MaRDI portal
Publication:1365683
DOI10.1016/0304-3975(95)00179-4zbMath0877.12006OpenAlexW2082422107MaRDI QIDQ1365683
Publication date: 9 September 1997
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-3975(95)00179-4
Symbolic computation and algebraic computation (68W30) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Overdetermined systems of PDEs with variable coefficients (35N10)
Related Items
Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors ⋮ Liouvillian integration of the Lotka-Volterra system
Cites Work
- Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
- An algorithm for solving second order linear homogeneous differential equations
- Equations de Pfaff algébriques
- Liouvillian solutions of linear differential equations with Liouvillian coefficients
- On Liouvillian solutions of linear differential equations
- On solutions of linear ordinary differential equations in their coefficient field
- Galois groups of second and third order linear differential equations
- Liouvillian and algebraic solutions of second and third order linear differential equations
- A unification of Liouvillian extensions
- On the nonexistence of constants of derivations: the proof of a theorem of Jouanolou and its development
- Liouville's theorem on functions with elementary integrals
- Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
- Liouvillian First Integrals of Differential Equations
- Liouvillian first integrals of homogeneouspolynomial 3-dimensional vector fields
- The Problem of Integration in Finite Terms
- Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique
- Unnamed Item
- Unnamed Item
