Projects per year
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 page. I'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
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2014 2019
GCRF - Exploring Policy Interventions to Reduce the Health Impact of Air Pollution in Ulaanbaatar
Barnett, J., Kyprianou, A., Shardlow, T., Douglas, S., Lloyd-Evans, J. & Durrant, H.
1/01/19 → 30/06/19
Project: Other › Internally Funded Research
Collaborative Work with Stephen Marsland (Massey University NZ)
21/07/15 → 21/08/15
Project: UK charity
IAA: Mathematical Investigation into the Methods used in Classical Quantitative Risk Assessment in the Energy and Process Industries
Shardlow, T., Budd, C., Jennison, C., Lindgren, F. & Scheichl, R.
1/05/14 → 31/01/15
Project: Research council
Research Output 2005 2019
A regularised Dean-Kawasaki model: derivation and analysis
Cornalba, F., Shardlow, T. & Zimmer, J., 11 Jan 2019, (Accepted/In press) In : Siam Journal on Mathematical Analysis.Research output: Contribution to journal › Article
Open Access
File
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 28 p.Research output: Contribution to journal › Article
Open Access
File
Numerical methods
Ashes
Monte Carlo method
Differential equations
Monte Carlo methods
1
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. 1550-1578Research output: Contribution to journal › Article
Open Access
Fractional Laplacian
Walk
Monte Carlo method
Stable Process
Monte Carlo methods
1
Citations
(Scopus)
Gauss-quadrature method for one-dimensional mean-field SDEs
Kloeden, P. & Shardlow, T., 6 Dec 2017, In : SIAM Journal on Scientific Computing. 39, 6, p. A2784–A2807 23 p.Research output: Contribution to journal › Article
Open Access
Vlasov equation
Gauss Quadrature
Quadrature Method
Initial value problems
Mean Field
4
Citations
(Scopus)
Langevin equations for landmark image registration with uncertainty
Shardlow, T. & Marsland, S., 25 May 2017, In : SIAM Journal on Imaging Sciences. 10, 2, p. 782-807Research output: Contribution to journal › Article
Open Access
File
Hamiltonians
Image registration
Langevin Equation
Image Registration
Landmarks