55 citations · 65 across the 4 of their papers we have counts for
4 papers
pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning
Dominik Bendle, Janko Boehm, Murray Heymann +6
Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to lar…
Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals
Dominik Bendle, Janko Boehm, Wolfram Decker +4
In this manuscript, which is to appear in the proceedings of the conference "MathemAmplitude 2019" in Padova, Italy, we provide an overview of the module intersection method for th…
Parallel Computation of tropical varieties, their positive part, and tropical Grassmannians
Dominik Bendle, Janko Boehm, Yue Ren +1
In this article, we present a massively parallel framework for computing tropicalizations of algebraic varieties which can make use of finite symmetries. We compute the tropical Gr…
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Dominik Bendle, Janko Boehm, Wolfram Decker +5
We introduce an algebro-geometrically motived integration-by-parts (IBP) reduction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel…