World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
5209
World Ranking
3031
National Ranking
70

Overview

Josef Dick is affiliated with the University of New South Wales in Australia, where their research primarily focuses on mathematics, with a specialization in numerical analysis. Their scholarly contributions span a range of topics within mathematics, including applied mathematics, statistics, probability and uncertainty, computational theory and mathematics, and computer vision and pattern recognition.

Their research work addresses a variety of specialized topics such as mathematical approximation and integration, probabilistic and robust engineering design, mathematical functions and polynomials, digital image processing techniques, analytic number theory, fractional differential equations solutions, and differential equations and numerical methods.

Josef Dick's publication record includes contributions to multiple venues, reflecting a broad engagement with the computational and applied mathematics research community. Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Journal of Complexity
  • Journal of Computational and Applied Mathematics
  • SIAM/ASA Journal on Uncertainty Quantification
  • Archiv der Mathematik

Among their recent papers are:

  • "Extracting bulk defect parameters in silicon wafers using machine learning models" (2020, npj Computational Materials)
  • "Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm" (2020, Journal of Computational and Applied Mathematics)
  • "Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate" (2022, Mathematics of Computation)
  • "Archiv der Mathematik volume / A note on the periodic L2 -discrepancy of Korobov's p-sets: F5509-N26" (2020, University Library Linz repository [Johannes Kepler Universitat Linz])
  • "Deep Learning Extraction of the Temperature-Dependent Parameters of Bulk Defects" (2022, ACS Applied Materials & Interfaces)

Josef Dick has collaborated frequently with several coauthors, including:

  • Friedrich Pillichshammer
  • Peter Kritzer
  • Kassem Mustapha
  • Takashi Goda
  • Quôc Thông Lê Gia

In addition to articles, Josef Dick has published books with Springer Nature, including the title "Lattice Rules" (2022), which has received notable citations and contributes to the literature on numerical methods and lattice-based algorithms.

Best Publications

  • Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration

    Josef Dick;Friedrich Pillichshammer

  • High-dimensional integration: The quasi-Monte Carlo way

    Josef Dick;Frances Y. Kuo;Ian H. Sloan

  • Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order

    Josef Dick

  • HIGHER ORDER QMC GALERKIN DISCRETIZATION FOR PARAMETRIC OPERATOR EQUATIONS

    Josef Dick;Frances Y. Kuo;Quoc T. Le Gia;Dirk Nuyens

  • Good Lattice Rules in Weighted Korobov Spaces with General Weights

    Josef Dick;Ian H. Sloan;Xiaoqun Wang;Henryk Woźniakowski

  • Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces

    Josef Dick;Friedrich Pillichshammer

  • Liberating the weights

    Josef Dick;Ian H. Sloan;Xiaoqun Wang;Henryk Woźniakowski

  • Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions

    Josef Dick

  • On the convergence rate of the component-by-component construction of good lattice rules

    Josef Dick

  • Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs

    Josef Dick;Frances Y. Kuo;Quoc Thong Le Gia;Dirk Nuyens

  • Construction algorithms for polynomial lattice rules for multivariate integration

    Josef Dick;Frances Y. Kuo;Friedrich Pillichshammer;Ian H. Sloan

  • A simple proof of Stolarsky’s invariance principle

    Johann S. Brauchart;Josef Dick

  • Lattice rules for nonperiodic smooth integrands

    Josef Dick;Dirk Nuyens;Friedrich Pillichshammer

  • Higher order scrambled digital nets achieve the optimal rate of the root mean square error for smooth integrands

    Josef Dick

  • Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality

    Christoph Aistleitner;Josef Dick

  • Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations

    Josef Dick;Frances Y. Kuo;Quoc Thong Le Gia;Christoph Schwab

  • Discrepancy Theory and Quasi-Monte Carlo Integration

    Josef Dick;Friedrich Pillichshammer

  • Exponential convergence and tractability of multivariate integration for Korobov spaces

    Josef Dick;Gerhard Larcher;Friedrich Pillichshammer;Henryk Wozniakowski

  • Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules

    Jan Baldeaux;Josef Dick;Gunther Leobacher;Dirk Nuyens

  • Consistency of Markov chain quasi-Monte Carlo on continuous state spaces

    S. Chen;J. Dick;A. B. Owen

  • Approximation of analytic functions in Korobov spaces

    Josef Dick;Peter Kritzer;Friedrich Pillichshammer;Henryk Woniakowski;Henryk Woniakowski

  • On the mean square weighted ℒ₂ discrepancy of randomized digital (t,m,s)-nets over ℤ₂

    Josef Dick;Friedrich Pillichshammer

Frequent Co-Authors

Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Ian H. Sloan
Ian H. Sloan University of New South Wales
Henryk Woźniakowski
Henryk Woźniakowski University of Warsaw
Art B. Owen
Art B. Owen Stanford University
Harald Niederreiter
Harald Niederreiter Austrian Academy of Sciences
Fred J. Hickernell
Fred J. Hickernell Illinois Institute of Technology
Edward B. Saff
Edward B. Saff Vanderbilt University
Erich Novak
Erich Novak Friedrich Schiller University Jena
Robert S. Womersley
Robert S. Womersley University of New South Wales

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