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Overview

Robert S. Womersley is affiliated with the University of New South Wales in Australia. Their research intersects Mathematics and Physics and Astronomy, with significant contributions in Applied Mathematics, Statistical and Nonlinear Physics, Numerical Analysis, Cognitive Neuroscience, and Signal Processing.

Their work centers on several main topics including Mathematical Approximation and Integration, Mathematical Inequalities and Applications, Mathematical Functions and Polynomials, Numerical Methods in Inverse Problems, EEG and Brain-Computer Interfaces, Blind Source Separation Techniques, and Advanced Thermodynamics and Statistical Mechanics.

Recent papers authored or co-authored by Robert S. Womersley include:

  • Threshold condensation to singular support for a Riesz equilibrium problem (2023), published in Analysis and Mathematical Physics
  • On the solution of a Riesz equilibrium problem and integral identities for special functions (2022), published in Journal of Mathematical Analysis and Applications
  • Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data (2020), published in Journal of Computational and Applied Mathematics
  • Improve concentration of frequency and time (ConceFT) by novel complex spherical designs (2021), published in Applied and Computational Harmonic Analysis
  • Numerical computation of triangular complex spherical designs with small mesh ratio (2022), published in Journal of Computational and Applied Mathematics

Frequent co-authors of Womersley include:

  • Ian H. Sloan, with six joint publications
  • Djalil Chafaï, with five joint publications
  • Edward B. Saff, with five joint publications
  • Yu Guang Wang, with three joint publications
  • Hau-Tieng Wu, with three joint publications

Their work has been published primarily in the following venues:

  • arXiv (Cornell University), with four publications
  • Journal of Computational and Applied Mathematics, with two publications
  • Applied and Computational Harmonic Analysis, with two publications
  • Analysis and Mathematical Physics, with one publication
  • Journal of Mathematical Analysis and Applications, with one publication

The research contributions of Robert S. Womersley span mathematical approximation techniques, numerical and computational approaches, and applications bridging theoretical and applied sciences. The combination of topics such as EEG and brain-computer interfaces alongside advanced thermodynamics points to a multidisciplinary profile grounded in both mathematical theory and practical application.

Best Publications

  • Extremal systems of points and numerical integration on the sphere

    Ian H. Sloan;Robert S. Womersley

  • Optimality Conditions and Duality Theory for Minimizing Sums of the Largest Eigenvalues of Symmetric Matrices

    M. L. Overton;R. S. Womersley

  • How good can polynomial interpolation on the sphere be

    Robert S. Womersley;Ian H. Sloan

  • On the sum of the largest eigenvalues of a symmetric matrix

    Michael L. Overton;Robert S. Womersley

  • Algorithms with Adaptive Smoothing for Finite Minimax Problems

    E. Polak;J. O. Royset;R. S. Womersley

  • Constructive Polynomial Approximation on the Sphere

    Ian H. Sloan;Robert S. Womersley

  • Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices

    Michael L. Overton;Robert S. Womersley;Robert S. Womersley

  • QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere

    Johann S. Brauchart;Edward B. Saff;Ian H. Sloan;Robert S. Womersley

  • Recent Advances in Nonsmooth Optimization

    Ding-Zhu Du;Liqun Qi;Robert S Womersley

  • On minimizing the spectral radius of a nonsymmetric matrix function: optimality conditions and duality theory

    Michael L. Overton;Robert S. Womersley

  • Efficient Spherical Designs with Good Geometric Properties

    Robert S. Womersley

  • An algorithm for composite nonsmooth optimization problems

    R S Womersley;R Fletcher

  • Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs

    Xiaojun Chen;Robert S. Womersley

  • Local properties of algorithms for minimizing nonsmooth composite functions

    Robert S. Womersley

  • Filtered hyperinterpolation: a constructive polynomial approximation on the sphere

    Ian H. Sloan;Robert S. Womersley

  • Newton's method for quadratic stochastic programs with recourse

    Xiaojun Chen;Liqun Qi;Robert S. Womersley

  • A feasible semismooth asymptotically Newton method for mixed complementarity problems

    Defeng Sun;Robert S. Womersley;Houduo Qi

  • A New Unconstrained Differentiable Merit Function for Box Constrained Variational Inequality Problems and a Damped Gauss--Newton Method

    Defeng Sun;Robert S. Womersley

  • A variational characterisation of spherical designs

    Ian H. Sloan;Robert S. Womersley

  • Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere

    Congpei An;Xiaojun Chen;Ian H. Sloan;Robert S. Womersley

Frequent Co-Authors

Ian H. Sloan
Ian H. Sloan University of New South Wales
Xiaojun Chen
Xiaojun Chen Hong Kong Polytechnic University
Edward B. Saff
Edward B. Saff Vanderbilt University
Liqun Qi
Liqun Qi Hong Kong Polytechnic University
Michael L. Overton
Michael L. Overton Courant Institute of Mathematical Sciences
Josef Dick
Josef Dick University of New South Wales
Defeng Sun
Defeng Sun Hong Kong Polytechnic University
Elijah Polak
Elijah Polak University of California, Berkeley
Vaithilingam Jeyakumar
Vaithilingam Jeyakumar University of New South Wales
Andrzej Ruszczyński
Andrzej Ruszczyński Rutgers, The State University of New Jersey

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