Sheehan Olver

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Lecturer

School of Mathematics and Statistics
The University of Sydney
NSW 2006
Australia

Telephone +61 2 9351 5782
Email Sheehan.Olver@sydney.edu.au


Research Interests


News


Preprints

  1. S. Olver & T. Trogdon (2012), Nonlinear steepest descent and the numerical solution of Riemann–Hilbert problems, submitted on 9 May 2012.
  2. S. Olver & N. Raj Rao (2012), Numerical computation of convolutions in free probability theory, arXiv:1203.1958v1, submitted on 8 Mar 2012.
  3. S. Olver & A. Townsend (2012), A Fast and well-conditioned spectral method, arXiv:1202.1347v1, submitted on 7 Feb 2012.

Papers

  1. T. Trogdon, S. Olver & B. Deconinck (2011), Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations, to appear in Physica D.
  2. S. Olver (2010), A general framework for solving Riemann–Hilbert problems numerically, to appear in Numer. Math.
  3. D. Huybrechs & S. Olver (2012), Superinterpolation in highly oscillatory quadrature, Found. Comput. Maths, 12: 203–228.
  4. S. Olver (2011), Computation of equilibrium measures, J. Approx. Theory, 163: 1185–1207.
  5. S. Olver (2011), Numerical solution of Riemann–Hilbert problems: Painlevé II, Found. Comput. Maths, 11: 153–179.
  6. S. Olver (2011), Computing the Hilbert transform and its inverse, Maths Comp., 80: 1745–1767.
  7. S. Olver (2010), Fast, numerically stable computation of oscillatory integrals with stationary points, BIT Numer. Math., 50: 149–171.
  8. S. Olver (2010), Shifted GMRES for oscillatory integrals, Numer. Math. 114: 607–628.
  9. S. Olver (2009), GMRES for the differentiation operator, SIAM J. Numer. Anal. 47: 3359–3373.
  10. S. Olver (2009), On the convergence rate of a modified Fourier series, Maths Comp. 78: 1629–1645.
  11. S. Olver (2007), Moment-free numerical approximation of highly oscillatory integrals with stationary points, Euro. J. Appl. Maths 18: 435–447.
  12. S. Olver (2007), Numerical approximation of vector-valued highly oscillatory integrals, BIT Numer. Math., 47: 637–655.
  13. S. Olver (2006), On the quadrature of multivariate highly oscillatory integrals over non-polytope domains, Numer. Math. 103: 643–665.
  14. S. Olver (2006), Moment-free numerical integration of highly oscillatory functions, IMA J. Numer. Anal. 26: 213–227.

Proceedings

  1. T. Claeys & S. Olver (2011), Numerical study of higher order analogues of the Tracy–Widom distribution, to appear in Cont. Maths.
  2. S. Olver (2011), GMRES for oscillatory matrix-valued differential equations, Spectral and High Order Methods for Partial Differential Equations, J.S. Hesthaven and E. M. Rønquist (eds.), Springer, Heidelberg, 267–274.
  3. 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.
  4. 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.

Book Chapters

  1. D. Huybrechs & S. Olver (2009), Highly oscillatory quadrature, Highly Oscillatory Problems, London Mathematical Society Lecture Note Series 366, Cambridge University Press, 25–50.
  2. D. Huybrechs & S. Olver (2009), Rapid function approximation by modified Fourier series, Highly Oscillatory Problems, London Mathematical Society Lecture Note Series 366, Cambridge University Press, 51–71.

Essays

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

Software

Presentations

Miscellaneous