Sheehan Olver

Junior Research Fellow

St John's College
Oxford University
St Giles
Oxford OX1 3JP
United Kingdom

and

Computing Laboratory
Wolfson Building
Parks Road
Oxford OX1 3QD
United Kingdom

Telephone	`+44 1865 273890`
Email	`Sheehan.Olver@sjc.ox.ac.uk`

Research Interests

The quadrature and asymptotics of highly oscillatory integrals, in both univariate and multivariate domains. Function approximation with polyharmonic series. Krylov subspace methods for oscillatory differential equations.

Papers

S. Olver (2008), "GMRES for the differentiation operator", Report no. NA-08/06, Computing Laboratory, Oxford University, submitted 22 May 2008.
S. Olver (2007), "On the convergence rate of a modified Fourier series", to appear in Math. Comp.
S. Olver (2007), "Moment-free numerical approximation of highly oscillatory integrals with stationary points", Euro. J. Appl. Maths 18: 435-447.
S. Olver (2007), "Numerical approximation of vector-valued highly oscillatory integrals", BIT, 47: 637-655.
S. Olver (2006), "On the quadrature of multivariate highly oscillatory integrals over non-polytope domains", Numer. Math. 103: 643-665.
S. Olver (2006), "Moment-free numerical integration of highly oscillatory functions", IMA J. Numer. Anal. 26: 213-227.

Essays

S. Olver (2008) "Numerical Approximation of Highly Oscillatory Integrals", PhD Thesis, University of Cambridge.
S. Olver (2006) "Numerical approximation of highly oscillatory integrals", Smith-Knight/Rayleigh-Knight Essay, Class 1.

Proceedings

D. Huybrechs & S. Olver (2008), "Highly oscillatory quadrature", Highly Oscillatory Problems: Computation, Theory and Applications, Isaac Newton Institute for Mathematical Sciences, to appear.
D. Huybrechs & S. Olver (2008), "Rapid function approximation by modified Fourier series", Highly Oscillatory Problems: Computation, Theory and Applications, Isaac Newton Institute for Mathematical Sciences, to appear.
S. Olver (2007), "Numerical quadrature of highly oscillatory integrals using derivatives", Algorithms for Approximation, A. Iske and J. Levesley (eds.), Springer-Verlag, Heidelberg, pp. 381-388.
A. Iserles, S. P. Nørsett & S. Olver (2006), "Highly oscillatory quadrature: The story so far", Proceedings of ENuMath, Santiago de Compostela, A. Bermudez de Castro et al, (eds.), Springer-Verlag, Berlin, 97-118.

Presentations

S. Olver, "Numerically approximation of highly oscillatory integrals", Leslie Fox Second Prize Talk.

Miscellaneous

S. Olver, Computer Modern fonts in Mathematica on Mac OS X.