@article{GERDT2006215,
    Abstract = {A Maple package for computing Gr{\"o}bner 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.},
    Author = {Gerdt, Vladimir P. and Robertz, Daniel},
    File = {A Maple package for computing Gröbner bases for linear recurrence relations - gerdt2006 - a - z.pdf},
    ISSN = {0168-9002},
    Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
    Keywords = {Difference algebra, Gr{\"o}bner bases, Janet-like bases, Recurrence relations, Difference scheme, Feynman integral, Maple},
    Note = {Proceedings of the X International Workshop on Advanced Computing and Analysis Techniques in Physics Research},
    Number = {1},
    Pages = {215 - 219},
    Title = {A Maple package for computing Gr{\"o}bner bases for linear recurrence relations},
    URL = {http://www.sciencedirect.com/science/article/pii/S0168900205022977},
    Volume = {559},
    Year = {2006},
    bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0168900205022977},
    bdsk-url-2 = {https://doi.org/10.1016/j.nima.2005.11.171},
    date-added = {2020-04-10 18:40:19 +0200},
    date-modified = {2020-04-10 18:40:19 +0200},
    doi = {10.1016/j.nima.2005.11.171}
}

@article{GERDT2006215, Abstract = {A Maple package for computing Gr{\"o}bner 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.}, Author = {Gerdt, Vladimir P. and Robertz, Daniel}, File = {A Maple package for computing Gröbner bases for linear recurrence relations - gerdt2006 - a - z.pdf}, ISSN = {0168-9002}, Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, Keywords = {Difference algebra, Gr{\"o}bner bases, Janet-like bases, Recurrence relations, Difference scheme, Feynman integral, Maple}, Note = {Proceedings of the X International Workshop on Advanced Computing and Analysis Techniques in Physics Research}, Number = {1}, Pages = {215 - 219}, Title = {A Maple package for computing Gr{\"o}bner bases for linear recurrence relations}, URL = {http://www.sciencedirect.com/science/article/pii/S0168900205022977}, Volume = {559}, Year = {2006}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0168900205022977}, bdsk-url-2 = {https://doi.org/10.1016/j.nima.2005.11.171}, date-added = {2020-04-10 18:40:19 +0200}, date-modified = {2020-04-10 18:40:19 +0200}, doi = {10.1016/j.nima.2005.11.171} }