Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Reader in Applied Mathematics and Mathematical Physics



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Huxley BuildingSouth Kensington Campus





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. 

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Olver S, Xu Y, Non-homogeneous wave equation on a cone, Integral Transforms and Special Functions, ISSN:1065-2469

Snowball B, Olver S, 2020, Sparse spectral and p-finite element methods for partial differential equations on disk slices and trapeziums, Studies in Applied Mathematics, Vol:145, ISSN:0022-2526, Pages:3-35

Gutleb T, Olver S, 2020, A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle, Siam Journal on Numerical Analysis, Vol:58, ISSN:0036-1429, Pages:1993-2018

Olver S, Xu Y, Orthogonal polynomials in and on a quadratic surface of revolution, Mathematics of Computation, ISSN:0025-5718

Olver S, Xu Y, Orthogonal structure on a quadratic curve, Ima Journal of Numerical Analysis, ISSN:0272-4979

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