428 citations · 1.7k across the 6 of their papers we have counts for
4 papers
FIRE6: Feynman Integral REduction with Modular Arithmetic
A. V. Smirnov, F. S. Chukharev
FIRE is a program performing reduction of Feynman integrals to master integrals. The C++ version of FIRE was presented in 2014. There have been multiple changes and upgrades since…
FIRE5: a C++ implementation of Feynman Integral REduction
Alexander V. Smirnov
In this paper the C++ version of FIRE is presented - a powerful program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathemati…
Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
A. V. Smirnov, M. N. Tentyukov
Up to the moment there are two known algorithms of sector decomposition: an original private algorithm of Binoth and Heinrich and an algorithm made public lastyear by Bogner and We…
An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations
A. V. Smirnov
This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for constructing Groebner-type bases associated with polynomials of shift operators…