3 papers
hep-th2020
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…
hep-th2019
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…
math.AG2018
Towards Massively Parallel Computations in Algebraic Geometry
Janko Boehm, Wolfram Decker, Anne Frühbis-Krüger +3
Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high performance numerical simulation, on the other hand, tran…