55 citations · 82 across the 8 of their papers we have counts for
8 papers
Massively Parallel Modular Methods in Commutative Algebra and Algebraic Geometry
Dirk Basson, Janko Boehm, Magdaleen S. Marais +2
Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which apply the algorithm…
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…
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…
Massively parallel computations in algebraic geometry - not a contradiction
Janko Boehm, Anne Frühbis-Krüger, Mirko Rahn
The design and implementation of parallel algorithms is a fundamental task in computer algebra. Combining the computer algebra system Singular and the workflow management system GP…
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…