Involutive Division Generated by an Antigraded Monomial Ordering

Author:

Gerdt Vladimir P.,Blinkov Yuri A.

Publisher

Springer Berlin Heidelberg

Reference20 articles.

1. Gerdt, V.P., Blinkov, Y.A.: Involutive bases of polynomial ideals. Mathematics and Computers in Simulation 45, 519–542 (1998); Minimal involutive bases, ibid, 543–560

2. Apel, J.: The theory of involutive divisions and an application to Hilbert function computations. J. Symbolic Computation 25, 683–704 (1998)

3. Janet, M.: Leçons sur les Systèmes d’Equations aux Dérivées Partielles. Cahiers Scientifiques, IV, Gauthier-Villars, Paris (1929)

4. Gerdt, V.P.: Involutive algorithms for computing Gröbner bases. In: Computational Commutative and Non-Commutative Algebraic Geometry, pp. 199–225. IOS Press, Amsterdam (2005)

5. Seiler, W.M.: Involution: The formal theory of differential equations and its applications in computer algebra. In: Algorithms and Computation in Mathematics, vol. 24. Springer, Heidelberg (2010)

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