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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.

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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 2021

Research Output 1994 2019

2 Citations (Scopus)
29 Downloads (Pure)

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
8 Downloads (Pure)

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

From weakly interacting particles to a regularised Dean–Kawasaki model

Cornalba, F., Shardlow, T. & Zimmer, J., 22 Oct 2019, (Accepted/In press) In : Nonlinearity.

Research output: Contribution to journalArticle

3 Citations (Scopus)
20 Downloads (Pure)

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
Numerical methods
Monte Carlo method
Differential equations
Monte Carlo methods