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Adhemar Bultheel

Adhemar Bultheel

Overview

Adhemar Bultheel is a researcher affiliated with KU Leuven in Belgium, whose work spans several areas within mathematics and materials chemistry. Their research contributions include a focus on applied mathematics, numerical analysis, and modeling and simulation, intersecting with atomic and molecular physics and optics.

The main fields of study represented in their work are:

  • Mathematics

Within these fields, Bultheel's subfields of specialization include:

  • Applied Mathematics
  • Materials Chemistry
  • Numerical Analysis
  • Modeling and Simulation
  • Atomic and Molecular Physics, and Optics

The primary topics covered in their research feature:

  • Mathematical functions and polynomials
  • Nanocluster Synthesis and Applications
  • Catalytic Processes in Materials Science
  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Electromagnetic Scattering and Analysis
  • Matrix Theory and Algorithms

Bultheel has published extensively in academic journals, with frequent venues including:

  • European Mathematical Society Magazine
  • Numerical Algorithms
  • Journal of Computational and Applied Mathematics
  • ACS Catalysis
  • Complex Analysis and Operator Theory

Recent publications authored or co-authored by Bultheel demonstrate a disciplinary breadth across applied mathematics and materials science. Selected papers include:

  • "Coordination-Dependent Kinetics in the Catalysis of Gold Nanoclusters," 2021, ACS Catalysis
  • "Two-point Padé approximation to Herglotz-Riesz transforms," 2022, Numerical Algorithms
  • "Extremal polynomials on the unit circle with preassigned zeros and Two-point Partial Padé approximation," 2023, Journal of Computational and Applied Mathematics
  • "Positive quadrature formulas on an arc of the unit circle," 2024, Numerical Algorithms
  • "On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences," 2024, Complex Analysis and Operator Theory

Coauthorship frequently includes collaborations with:

  • Carlos Díaz Mendoza
  • Forrest H. Kaatz
  • Dmitry Yu. Murzin
  • Andreas Lasarow
  • Miodrag S. Petković

Best Publications

  • Orthogonal rational functions

    Adhemar Bultheel;Pablo Gonzalez-Vera;Erik Hendriksen;Olav Njastad

  • Generalized cross validation for wavelet thresholding

    Maarten Jansen;Maurits Malfait;Adhemar Bultheel

  • Pade´ techniques for model reduction in linear system theory: a survey

    A Bultheel;M van Barel

  • Computation of the fractional Fourier transform

    Adhemar Bultheel;Héctor E. Martı́nez Sulbaran

  • Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise

    M. Jansen;A. Bultheel

  • Empirical Bayes approach to improve wavelet thresholding for image noise reduction

    Maarten Jansen;Adhemar Bultheel

  • Recent developments in the theory of the fractional Fourier and linear canonical transforms

    A. Bultheel;H. Martínez-Sulbaran

  • Linear algebra, rational approximation, and orthogonal polynomials

    Adhemar Bultheel;Marc van Barel

  • Laurent Series and Their Pade Approximations

    Adhemar Bultheel

  • A general module theoretic framework for vector M-Padé and matrix rational interpolation

    Marc Van Barel;Adhemar Bultheel

  • A new approach to the rational interpolation problem: the vector case

    Marc Van Barel;Adhemar Bultheel

  • Stabilised wavelet transforms for non-equispaced data smoothing

    Evelyne Vanraes;Maarten Jansen;Adhemar Bultheel

  • Rational approximation in linear systems and control

    A. Bultheel;B. De Moor

  • Encyclopaedia of Mathematics, Supplement III

    S. S. Abhyankar;V. Abramov;A. Adem;L. Aizenberg

  • The computation of orthogonal rational functions and their interpolating properties

    Adhemar Bultheel;Pablo González-Vera;Erik Hendriksen;Olav Njåstad

  • A connection between quadrature formulas on the unit circle and the interval [ - 1,1]

    Adhemar Bultheel;Leyla Daruis;Pablo González-Vera

  • On computing rational Gauss-Chebyshev quadrature formulas

    Joris Van Deun;Adhemar Bultheel;Pablo González Vera

  • Quadrature on the half-line and two-point Pade´ approximants to Stieltjes functions. Part I: algebraic aspects

    A. Bultheel;P. González-Vera;R. Orive

  • Learning to swim in a sea of wavelets

    Adhemar Bultheel

  • A Szeg˝o theory for rational functions

    Adhemar Bultheel;Pablo González-Vera;Erik Hendriksen;Olav Njåstad

Frequent Co-Authors

Takeshi Egami
Takeshi Egami University of Tennessee at Knoxville
Yves Rolain
Yves Rolain Vrije Universiteit Brussel
Dirk Roose
Dirk Roose KU Leuven
Rik Pintelon
Rik Pintelon Vrije Universiteit Brussel
Ernesto Estrada
Ernesto Estrada Institute for Cross-Disciplinary Physics and Complex Systems
Johan Schoukens
Johan Schoukens Eindhoven University of Technology
George Labahn
George Labahn University of Waterloo
Dmitry Yu. Murzin
Dmitry Yu. Murzin Åbo Akademi University
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid

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