Summary
My research is in numerical analysis and computational methods. I have developed spectral methods for ordinary and partial differential equations, singular integral equations, and Riemann–Hilbert problems, with applications in integrable systems and the study of random matrices.
Publications
Journals
Gutleb T, Olver S, Slevinsky M, 2024, Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations, Foundations of Computational Mathematics, ISSN:1615-3375
Gutleb TS, Carrillo JA, Olver S, 2023, Computation of power law equilibrium measures on balls of arbitrary dimension, Constructive Approximation, Vol:58, ISSN:0176-4276, Pages:75-120
Fasondini M, Olver S, Xu Y, 2023, Orthogonal polynomials on a class of planar algebraic curves, Studies in Applied Mathematics, Vol:151, ISSN:0022-2526, Pages:369-405
Fasondini M, Olver S, Xu Y, 2023, Orthogonal polynomials on planar cubic curves, Foundations of Computational Mathematics, Vol:23, ISSN:1615-3375, Pages:1-31
Gutleb T, Carrillo J, Olver S, 2022, Computing equilibrium measures with power law kernels, Mathematics of Computation, Vol:91, ISSN:0025-5718, Pages:2247-2281