World's Best Scientists 2026 revealed!
Award Badge
Mathematics
Australia
2026

D-Index & Metrics

Mathematics

D-Index
62
Citations
14276
World Ranking
481
National Ranking
13

Research.com Recognitions

  • 2026 - Research.com Mathematics in Australia Leader Award
  • 2025 - Research.com Mathematics in Australia Leader Award
  • 2023 - Research.com Mathematics in Australia Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For advances in quadrature, integral equations, and approximation of functions.
  • 2001 - Thomas Ranken Lyle Medal, Australian Academy of Science
  • 1993 - Fellow of the Australian Academy of Science

Overview

Ian H. Sloan is a mathematician affiliated with the University of New South Wales in Australia. Their research primarily focuses on mathematics, with significant contributions in numerical analysis, statistics, probability and uncertainty, computational mechanics, computational theory and mathematics, and mathematical physics.

Their work encompasses a broad range of main topics including mathematical approximation and integration, probabilistic and robust engineering design, advanced numerical methods in computational mathematics, numerical methods in inverse problems, advanced mathematical modeling in engineering, nuclear reactor physics and engineering, and numerical methods in engineering.

Ian H. Sloan has coauthored extensively with several collaborators, notably Frances Y. Kuo, Vesa Kaarnioja, Alexander D. Gilbert, Dirk Nuyens, and Robert S. Womersley. These collaborations have resulted in numerous publications across a variety of venues.

Frequent publication venues for Ian H. Sloan include:

  • arXiv (Cornell University)
  • SIAM/ASA Journal on Uncertainty Quantification
  • Numerische Mathematik
  • Journal of Computational and Applied Mathematics
  • Mathematics of Computation

Selected recent papers by Ian H. Sloan include:

  • "Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration", 2024, published in Numerische Mathematik
  • "High-dimensional deconstruction of pancreatic cancer identifies tumor microenvironmental and developmental stemness features that predict survival", 2023, published in npj Precision Oncology
  • "A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty", 2021, published in SIAM/ASA Journal on Uncertainty Quantification
  • "Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media", 2021, published in SIAM/ASA Journal on Uncertainty Quantification
  • "MATHICSE Technical Report: Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification", 2020, published in Infoscience (Ecole Polytechnique Fédérale de Lausanne)

Ian H. Sloan has been recognized by several awards and honors during their career:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for advances in quadrature, integral equations, and approximation of functions
  • Thomas Ranken Lyle Medal from the Australian Academy of Science (2001)
  • Fellow of the Australian Academy of Science (1993)

Best Publications

  • Lattice Methods for Multiple Integration

    Ian H. Sloan

  • When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

    Ian H Sloan;Henryk Woźniakowski

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

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

  • A new collocation-type method for Hammerstein integral equations

    Sunil Kumar;Ian H. Sloan

  • Extremal systems of points and numerical integration on the sphere

    Ian H. Sloan;Robert S. Womersley

  • Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

    Frances Y. Kuo;Christoph Schwab;Ian H. Sloan

  • Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

    Ch. Lubich;I. H. Sloan;V. Thomée

  • On integral equations of the first kind with logarithmic kernels

    Y. Yan;I.H. Sloan

  • Time discretization of an integro-differential equation of parabolic type

    I H Sloan;V Thomée

  • Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

    I. G. Graham;F. Y. Kuo;D. Nuyens;R. Scheichl

  • Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point

    A. H. Schatz;I. H. Sloan;L. B. Wahlbin

  • On decompositions of multivariate functions

    Frances Y. Kuo;Ian H. Sloan;Grzegorz W. Wasilkowski;Henryk Wozniakowski

  • Polynomial interpolation and hyperinterpolation over general regions

    Ian H. Sloan

  • Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

    I. G. Graham;F. Y. Kuo;J. A. Nichols;R. Scheichl

  • Component-by-component construction of good lattice rules

    I. H. Sloan;A. V. Reztsov

  • Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces

    I. H. Sloan;F. Y. Kuo;S. Joe

  • Lattice methods for multiple integration: theory, error analysis and examples

    Ian H. Sloan;Philip Kachoyan

  • Tractability of Multivariate Integration for Weighted Korobov Classes

    Ian H. Sloan;Henryk Woźniakowski

  • How good can polynomial interpolation on the sphere be

    Robert S. Womersley;Ian H. Sloan

  • A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature

    Dongwoo Sheen;Ian H. Sloan;Vidar Thomée

Frequent Co-Authors

Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Robert S. Womersley
Robert S. Womersley University of New South Wales
Henryk Woźniakowski
Henryk Woźniakowski University of Warsaw
Erich Novak
Erich Novak Friedrich Schiller University Jena
Robert Scheichl
Robert Scheichl Heidelberg University
Ivan G. Graham
Ivan G. Graham University of Bath
Joseph F. Traub
Joseph F. Traub Columbia University
Josef Dick
Josef Dick University of New South Wales
Holger Wendland
Holger Wendland University of Bayreuth

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Business-focused programs like the easiest online mba program provide a flexible path for those looking to combine quantitative skills with managerial expertise.

If you’re considering advanced education, the best 1 year dba program online offers accelerated options for professionals aiming to deepen their knowledge in data analysis and business administration.

Finance is another strong career avenue for math graduates. Programs like the cheapest online masters in finance provide affordable ways to gain expertise in financial modeling, risk assessment, and economic strategy.

For those balancing busy schedules, the shortest online mba programs allow students to earn a graduate degree quickly without compromising their career goals.

Overall, these online degrees complement a Mathematics background by enhancing practical skills and expanding professional pathways in business, analytics, and finance.

Best Scientists Citing Ian H. Sloan

Trending Scientists

Recently Published Articles