Search Results - "Rahn, Mirko"

Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space by Bendle, Dominik, Böhm, Janko, Decker, Wolfram, Georgoudis, Alessandro, Pfreundt, Franz-Josef, Rahn, Mirko, Wasser, Pascal, Zhang, Yang

“…A bstract We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for multi-loop and multi-scale Feynman integrals, using a…”
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Towards Massively Parallel Computations in Algebraic Geometry by Böhm, Janko, Decker, Wolfram, Frühbis-Krüger, Anne, Pfreundt, Franz-Josef, Rahn, Mirko, Ristau, Lukas

“…Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high-performance numerical simulation, on…”
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Interoperability strategies for GASPI and MPI in large-scale scientific applications by Simmendinger, Christian, Iakymchuk, Roman, Cebamanos, Luis, Akhmetova, Dana, Bartsch, Valeria, Rotaru, Tiberiu, Rahn, Mirko, Laure, Erwin, Markidis, Stefano

“…One of the main hurdles of partitioned global address space (PGAS) approaches is the dominance of message passing interface (MPI), which as a de facto standard…”
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Scalable distributed-memory external sorting by Rahn, Mirko, Sanders, Peter, Singler, Johannes

“…We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline…”
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pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning by Bendle, Dominik, Boehm, Janko, Heymann, Murray, Ma, Rourou, Rahn, Mirko, Ristau, Lukas, Wittmann, Marcel, Wu, Zihao, Xu, Hefeng, Zhang, Yang

“…Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research…”
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On the stability of bismuth in modified carbon felt electrodes for vanadium redox flow batteries: An in-operando X-ray computed tomography study by Gebhard, Marcus, Tichter, Tim, Schneider, Jonathan, Mayer, Jacob, Hilger, André, Osenberg, Markus, Rahn, Mirko, Manke, Ingo, Roth, Christina

“…Decorating carbon felt electrodes with bismuth and bismuth oxide nanoparticles is proposed to be a promising strategy for enhancing the sluggish electron…”
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More decidable instances of Post's correspondence problem: beyond counting by Rahn, Mirko

“…We present a new technique to decide or reduce instances of Post's correspondence problem. It generalizes balance arguments to a consideration about some…”
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Evaluation of Parallel Communication Models in Nekbone, a Nek5000 Mini-Application by Ivanov, Ilya, Jing Gong, Akhmetova, Dana, Peng, Ivy Bo, Markidis, Stefano, Laure, Erwin, Machado, Rui, Rahn, Mirko, Bartsch, Valeria, Hart, Alistair, Fischer, Paul

“…Nekbone is a proxy application of Nek5000, a scalable Computational Fluid Dynamics (CFD) code used for modelling incompressible flows. The Nekbone…”
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Massively Parallel Modular Methods in Commutative Algebra and Algebraic Geometry by Basson, Dirk, Boehm, Janko, Marais, Magdaleen S, Rahn, Mirko, Rakotoarisoa, Hobihasina P

“…Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which…”
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Massively parallel computations in algebraic geometry - not a contradiction by Boehm, Janko, Frühbis-Krüger, Anne, Rahn, Mirko

“…Computeralgebrarundbrief 64 (2019), 8-13 The design and implementation of parallel algorithms is a fundamental task in computer algebra. Combining the computer…”
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Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals by Bendle, Dominik, Boehm, Janko, Decker, Wolfram, Georgoudis, Alessandro, Pfreundt, Franz-Josef, Rahn, Mirko, Zhang, Yang

“…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…”
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pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning by Bendle, Dominik, Boehm, Janko, Heymann, Murray, Ma, Rourou, Rahn, Mirko, Ristau, Lukas, Wittmann, Marcel, Wu, Zihao, Zhang, Yang

“…Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research…”
Get full text

Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space by Bendle, Dominik, Boehm, Janko, Decker, Wolfram, Georgoudis, Alessandro, Pfreundt, Franz-Josef, Rahn, Mirko, Wasser, Pascal, Zhang, Yang

“…We introduce an algebro-geometrically motived integration-by-parts (IBP) reduction method for multi-loop and multi-scale Feynman integrals, using a framework…”
Get full text

Towards Massively Parallel Computations in Algebraic Geometry by Boehm, Janko, Decker, Wolfram, Frühbis-Krüger, Anne, Pfreundt, Franz-Josef, Rahn, Mirko, Ristau, Lukas

“…Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high performance numerical simulation, on…”
Get full text

Scalable Distributed-Memory External Sorting by Rahn, Mirko, Sanders, Peter, Singler, Johannes

“…We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline…”
Get full text