World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
11571
World Ranking
1436
National Ranking
7

Overview

Owe Axelsson was affiliated with the Institute of Geonics in the Czech Republic. Their research spanned multiple areas within engineering, computer science, and physics and astronomy, with a particular focus on computational theory, numerical analysis, and computational mechanics.

Axelsson's work addressed complex mathematical and computational problems often related to matrix theory and numerical methods. Their main topics of research included:

  • Matrix Theory and Algorithms
  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Scattering and Analysis
  • Numerical methods for differential equations
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Numerical methods in inverse problems

They published extensively in various scientific venues. The most frequent publication outlets included:

  • arXiv (Cornell University)
  • Numerische Mathematik
  • Numerical Linear Algebra with Applications
  • Ultrasound in Obstetrics and Gynecology
  • SIAM Journal on Numerical Analysis

Their recent papers reflected continued research in numerical linear algebra and iterative methods. Some notable publications were:

  • "Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks," 2020, Numerische Mathematik
  • "Krylov improvements of the Uzawa method for Stokes type operator matrices," 2021, Numerische Mathematik
  • "Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners," 2023, SIAM Journal on Numerical Analysis
  • "Efficient iteration methods for complex systems with an indefinite matrix term," 2022, CALCOLO
  • "Stage-parallel preconditioners for implicit Runge-Kutta methods of arbitrarily high order, linear problems," 2023, Numerical Linear Algebra with Applications

Axelsson worked collaboratively with several frequent co-authors, including Maya Neytcheva, János Karátson, Maeddeh Pourbagher, Davod Khojasteh Salkuyeh, and Zhao-Zheng Liang. These collaborations contributed to the development of advanced iterative methods and operator preconditioning techniques.

Their research largely contributed to computational methods addressing matrix operators and numerical solutions of linear algebra problems, supporting applications in engineering and physical sciences.

Best Publications

  • Iterative Solution Methods

    Owe Axelsson

  • Finite Element Solution of Boundary Value Problems: Theory and Computation

    Owe Axelsson;Vincent A. Barker

  • On the rate of convergence of the preconditioned conjugate gradient method

    O Axelsson;G Lindskog

  • Algebraic multilevel preconditioning methods, II

    O. Axelsson;P. S. VAssilevski

  • Real valued iterative methods for solving complex symmetric linear systems

    Owe Axelsson;Andrey B. Kucherov

  • Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations

    Owe Axelsson

  • Preconditioning and two-level multigrid methods of arbitrary degree of approximation

    O. Axelsson;I. Gustafsson

  • A survey of preconditioned iterative methods for linear systems of algebraic equations

    O. Axelsson

  • A generalized conjugate gradient, least square method

    O. Axelsson

  • A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning

    O. Axelsson;P. S. Vassilevski

  • Solution of linear systems of equations: Iterative methods

    Owe Axelsson

  • A generalized SSOR method

    O. Axelsson

  • A class ofA-stable methods

    Owe Axelsson

  • A class of iterative methods for finite element equations

    O. Axelsson

  • A comparison of iterative methods to solve complex valued linear algebraic systems

    Owe Axelsson;Maya Neytcheva;Bashir Ahmad

  • A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems

    O. Axelsson;W. Layton

  • A Class of Nested Iteration Schemes for Linear Systems with a Coefficient Matrix with a Dominant Positive Definite Symmetric Part

    Owe Axelsson;Zhong-Zhi Bai;Shou-Xia Qiu

  • Algebraic multilevel iteration method for Stieltjes matrices

    Owe Axelsson;Maya G. Neytcheva

  • Eigenvalue estimates for preconditioned saddle point matrices

    Owe Axelsson;Maya G. Neytcheva

  • On some versions of incomplete block-matrix factorization iterative methods

    O. Axelsson;S. Brinkkemper;V.P. Il̀n

Frequent Co-Authors

Bashir Ahmad
Bashir Ahmad King Abdulaziz University

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