World's Best Scientists 2026 revealed!

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Mathematics

D-Index
35
Citations
5677
World Ranking
2759
National Ranking
169

Engineering and Technology

D-Index
36
Citations
5885
World Ranking
8658
National Ranking
291

Research.com Recognitions

  • 2019 - SIAM Fellow For contributions in numerical linear algebra and the solution of problems in quantum chromodynamics.

Overview

Andreas Frommer is affiliated with the University of Wuppertal in Germany. Their research primarily spans the fields of Computer Science, Mathematics, and Physics and Astronomy, with a notable focus on several subfields including Computational Theory and Mathematics, Numerical Analysis, Nuclear and High Energy Physics, Atomic and Molecular Physics and Optics, as well as Statistics and Probability.

The scientist's research topics encompass various areas, such as:

  • Matrix Theory and Algorithms
  • Numerical methods for differential equations
  • Electromagnetic Scattering and Analysis
  • Quantum Chromodynamics and Particle Interactions
  • Advanced Optimization Algorithms Research
  • Model Reduction and Neural Networks
  • Advanced Numerical Methods in Computational Mathematics

Among their recent publications are:

  • "Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM" (2020), published in SIAM Journal on Matrix Analysis and Applications
  • "A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix" (2022), published in SIAM Journal on Scientific Computing
  • "A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD" (2020), published in Computer Physics Communications
  • "On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations" (2022), published in Numerical Algorithms

Frommer has frequently published in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Matrix Analysis and Applications
  • Numerical Algorithms
  • Computer Physics Communications
  • ETNA - Electronic Transactions on Numerical Analysis

Their research activities include collaboration with several frequent co-authors, including:

  • Gustavo Ramirez-Hidalgo
  • Karsten Kahl
  • Marcel Schweitzer
  • Daniel B. Szyld
  • Malak Diab

Andreas Frommer has been recognized as a SIAM Fellow in 2019 for contributions in numerical linear algebra and the solution of problems in quantum chromodynamics.

Best Publications

  • H-Splittings and two-stage iterative methods

    Andreas Frommer;Daniel B. Szyld

  • On asynchronous iterations

    Andreas Frommer;Daniel B. Szyld

  • Convergence of relaxed parallel multisplitting methods

    Andreas Frommer;Günter Mayer

  • Efficient schemes for nearest neighbor load balancing

    Ralf Diekmann;Andreas Frommer;Burkhard Monien

  • Numerical methods for the QCDd overlap operator. I. Sign-function and error bounds

    J. van den Eshof;A. Frommer;Th. Lippert;K. Schilling

  • Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator

    Andreas Frommer;Karsten Kahl;Stefan Krieg;Björn Leder

  • Many masses on one stroke: Economic computation of quark propagators

    Andreas Frommer;Bertold Nöckel;Stephan Güsken;Thomas Lippert

  • Restarted GMRES for Shifted Linear Systems

    Andreas Frommer;Uwe Glässner

  • BiCGStab( l ) for families of shifted linear systems

    A. Frommer

  • Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm

    Andreas Frommer;Volker Hannemann;Bertold Nöckel;Thomas Lippert

  • Fast CG-Based Methods for Tikhonov--Phillips Regularization

    Andreas Frommer;Peter Maass

  • Weighted max norms, splittings, and overlapping additive Schwarz iterations

    Andreas Frommer;Daniel B. Szyld

  • Three-Dimensional PtRu Nanostructures

    Xiaowei Teng;Sean Maksimuk;and Samuel Frommer;Hong Yang

  • An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms

    Andreas Frommer;Daniel B. Szyld

  • Asynchronous two-stage iterative methods

    Andreas Frommer;Daniel B. Szyld

  • Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds

    J. van den Eshof;A. Frommer;Th. Lippert;K. Schilling

  • Efficient and stable Arnoldi restarts for matrix functions based on quadrature

    Andreas Frommer;Stefan Güttel;Marcel Schweitzer

  • Numerical Challenges in Lattice Quantum Chromodynamics

    Andreas Frommer;Thomas Lippert;Björn Medeke;Klaus Schilling

  • Algebraic theory of multiplicative Schwarz methods

    Michele Benzi;Andreas Frommer;Reinhard Nabben;Daniel B. Szyld

  • A parallel SSOR preconditioner for lattice QCD

    S. Fischer;A. Frommer;U. Glässner;Th. Lippert

  • Many Masses on One Stroke: Economic Computation of Quark Propagators

    Andreas Frommer;Stephan Güsken;Thomas Lippert;Bertold Nöckel

Frequent Co-Authors

Daniel B. Szyld
Daniel B. Szyld Temple University
Markus Diesmann
Markus Diesmann RWTH Aachen University
Burkhard Monien
Burkhard Monien University of Paderborn
H.A. van der Vorst
H.A. van der Vorst Utrecht University
Valeria Simoncini
Valeria Simoncini University of Bologna
Zhiping Qiu
Zhiping Qiu Beihang University
Andreas Schäfer
Andreas Schäfer University of Regensburg
Peter Maass
Peter Maass University of Bremen
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Zoltan Fodor
Zoltan Fodor Pennsylvania State University

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