LDA swMATH ID: 21695 Software Authors: Gerdt, Vladimir P.; Robertz, Daniel Description: A Maple package for computing groebner bases for linear recurrence relations. A Maple package for computing Gröbner bases of linear difference ideals is described. The underlying algorithm is based on Janet and Janet-like monomial divisions associated with finite difference operators. The package can be used, for example, for automatic generation of difference schemes for linear partial differential equations and for reduction of multiloop Feynman integrals. These two possible applications are illustrated by simple examples of the Laplace equation and a one-loop scalar integral of propagator type. Homepage: http://www.sciencedirect.com/science/article/pii/S0168900205022977 Dependencies: Maple Related Software: Janet; TDDS; Letterplace; FourTiTwo; symmChainGens; Maple; SINGULAR Cited in: 3 Documents Standard Articles 1 Publication describing the Software Year A Maple package for computing groebner bases for linear recurrence relations Gerdt, Vladimir P.; Robertz, Daniel 2005 all top 5 Cited by 7 Authors 1 Blinkov, Yuri A. 1 Blinkova, A. Yu. 1 Chen, Yufu 1 Ivanov, Sergeĭ V. 1 La Scala, Roberto 1 Mogilevich, Lev I. 1 Zhang, Xiaojing Cited in 3 Serials 1 Mathematics of Computation 1 Journal of Systems Science and Complexity 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Cited in 6 Fields 2 Commutative algebra (13-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year