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 TS, Carrillo JA, Olver S, 2022, Computation of power law equilibrium measures on balls of arbitrary dimension, Constructive Approximation, ISSN:0176-4276
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
Snowball B, Olver S, 2021, Sparse spectral methods for partial differential equations on spherical caps, Transactions of Mathematics and Its Applications, Vol:5, ISSN:2398-4945, Pages:1-37
Fasondini M, Olver S, Xu Y, 2021, Orthogonal polynomials on planar cubic curves, Foundations of Computational Mathematics, ISSN:1615-3375
Olver S, Xu Y, 2021, Non-homogeneous wave equation on a cone, Integral Transforms and Special Functions, Vol:32, ISSN:1065-2469, Pages:604-619