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Personal profile

Research interests

I work in the numerical analysis group in the Department of Mathematical Sciences at the University of Bath. Further information about the group and our research is available on the group web pageI'm part of the team working on stochastic differential equations. See also my publication list or An Introduction to Computational Stochastic PDEs.

Fingerprint Dive into the research topics where Tony Shardlow is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Differential equations Engineering & Materials Science
Stochastic PDEs Mathematics
Stochastic Delay Differential Equations Mathematics
Monte Carlo methods Engineering & Materials Science
Stochastic Equations Mathematics
Numerical methods Engineering & Materials Science
Time Stepping Mathematics
Langevin Equation Mathematics

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Projects 2014 2019

Research Output 1994 2030

A regularised Dean-Kawasaki model: derivation and analysis

Cornalba, F., Shardlow, T. & Zimmer, J., 9 Apr 2019, In : Siam Journal on Mathematical Analysis. 51, 2, p. 1137-1187 51 p.

Research output: Contribution to journalArticle

Open Access
File

A walk outside spheres for the fractional Laplacian: fields and first eigenvalue

Shardlow, T., 14 Mar 2019, In : Mathematics of Computation (MCOM). 88, 320, p. 2767-2792 26 p.

Research output: Contribution to journalArticle

Open Access
File

DEVELOPMENT OF AN AUTOMATED SEGMENTATION ALGORITHM TO IDENTIFY BONES OF THE HAND

Rambojun, A., Tillett, W., Campbell, N. & Shardlow, T., 27 Jun 2019, In : Annals of the Rheumatic Diseases. 78, Suppl 2, THU0595.

Research output: Contribution to journalMeeting abstract

2 Citations (Scopus)

Multilevel Monte Carlo and Improved Timestepping Methods in Atmospheric Dispersion Modelling

Katsiolides, G., Müller, E. H., Scheichl, R., Shardlow, T., Giles, M. B. & Thomson, D. J., 1 Feb 2018, In : Journal of Computational Physics. 354, p. 320-343 24 p.

Research output: Contribution to journalArticle

Open Access
File
Numerical methods
Ashes
Monte Carlo method
Differential equations
Monte Carlo methods
2 Citations (Scopus)

Unbiased `walk-on-spheres' Monte Carlo methods for the fractional Laplacian

Kyprianou, A., Osojnik, A. & Shardlow, T., 1 Jul 2018, In : IMA Journal of Numerical Analysis. 38, 3, p. 1550-1578

Research output: Contribution to journalArticle

Open Access
Fractional Laplacian
Walk
Monte Carlo method
Stable Process
Monte Carlo methods