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Mathematics
Germany
2023

D-Index & Metrics

Mathematics

D-Index
70
Citations
21346
World Ranking
274
National Ranking
16

Engineering and Technology

D-Index
69
Citations
21030
World Ranking
1111
National Ranking
34

Research.com Recognitions

  • 2023 - Research.com Mathematics in Germany Leader Award
  • 2006 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 1996 - Brouwer Medal

Overview

Wolfgang Hackbusch is affiliated with the Max Planck Institute for Mathematics in the Sciences in Germany. Their research predominantly spans the fields of Mathematics and Engineering, with a particular focus on computational and numerical methods. The subfields most associated with their work include Computational Mathematics, Computational Mechanics, Radiology, Nuclear Medicine and Imaging, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The main topics of study in Hackbusch's research encompass tensor decomposition and applications, advanced neuroimaging techniques and applications, matrix theory and algorithms, model reduction and neural networks, sparse and compressive sensing techniques, advanced numerical methods in computational mathematics, and numerical methods for differential equations.

Their recent published papers include:

  • "Iterative algorithms for the post-processing of high-dimensional data" (2020) published in Journal of Computational Physics
  • "Modified Iterations for Data-Sparse Solution of Linear Systems" (2021) published in Vietnam Journal of Mathematics
  • "Geometry of tree-based tensor formats in tensor Banach spaces" (2023) published in Annali di Matematica Pura ed Applicata (1923 -)
  • "Numerical Approximation of Poisson Problems in Long Domains" (2021) published in Vietnam Journal of Mathematics
  • "Minimal divergence for border rank-2 tensor approximation" (2021) published in Linear and Multilinear Algebra

Hackbusch has collaborated frequently with several researchers, including Antonio Falcó, Anthony Nouy, Mike Espig, Alexander Litvinenko, and Hermann G. Matthies. Their work appears in multiple respected publication venues such as the Vietnam Journal of Mathematics, Journal of Computational Physics, Annali di Matematica Pura ed Applicata, and Linear and Multilinear Algebra.

Throughout their career, Hackbusch has received recognition including membership in the German National Academy of Sciences Leopoldina in 2006 for contributions to Mathematics and the Brouwer Medal in 1996.

Best Publications

  • Multi-Grid Methods and Applications

    Wolfgang Hackbusch

  • A sparse matrix arithmetic based on H -matrices. Part I: introduction to H -matrices

    W. Hackbusch

  • Iterative Solution of Large Sparse Systems of Equations

    Wolfgang Hackbusch

  • Tensor Spaces and Numerical Tensor Calculus

    Wolfgang Hackbusch

  • On the fast matrix multiplication in the boundary element method by panel clustering

    W. Hackbusch;Z. P. Nowak

  • A New Scheme for the Tensor Representation

    Wolfgang Hackbusch;Stefan Kühn

  • A sparse H -matrix arithmetic. Part II: application to multi-dimensional problems

    W. Hackbusch;B. N. Khoromskij

  • Construction and arithmetics of H -matrices

    Lars Grasedyck;Wolfgang Hackbusch

  • Introduction to Hierarchical Matrices with Applications

    Steffen Börm;Lars Grasedyck;Wolfgang Hackbusch

  • Integral Equations: Theory and Numerical Treatment

    Wolfgang Hackbusch

  • Hierarchical matrices: algorithms and analysis.

    Wolfgang Hackbusch

  • Elliptic Differential Equations

    Wolfgang Hackbusch

  • Elliptic Differential Equations: Theory and Numerical Treatment

    Wolfgang Hackbusch

  • Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L ∞ -coefficients

    Mario Bebendorf;Wolfgang Hackbusch

  • A New Convergence Proof for the Multigrid Method Including the V-Cycle

    D. Braess;W. Hackbusch

  • On H2-Matrices

    Wolfgang Hackbusch;Boris N. Khoromskij;Stefan A. Sauter

  • On first and second order box schemes

    W. Hackbusch

  • Theorie und Numerik elliptischer Differentialgleichungen

    Wolfgang Hackbusch

  • Data-sparse approximation by adaptive H 2 -matrices

    W. Hackbusch;S. Börm

  • Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem

    C H Wolters;C H Wolters;L Grasedyck;W Hackbusch

  • Singular Integral Equations

    Wolfgang Hackbusch

Frequent Co-Authors

Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Ivan G. Graham
Ivan G. Graham University of Bath
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Dietrich Braess
Dietrich Braess Ruhr University Bochum
Kai Sundmacher
Kai Sundmacher Max Planck Institute for Dynamics of Complex Technical Systems
Hermann G. Matthies
Hermann G. Matthies Technische Universität Braunschweig
Carsten H. Wolters
Carsten H. Wolters University of Münster
Eugene E. Tyrtyshnikov
Eugene E. Tyrtyshnikov Russian Academy of Sciences
Arnold Reusken
Arnold Reusken RWTH Aachen University

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