An introduction to computational stochastic PDEs GJ Lord, CE Powell, T Shardlow Cambridge University Press, 2014 | 816 | 2014 |
A perturbation theory for ergodic Markov chains and application to numerical approximations T Shardlow, AM Stuart SIAM journal on numerical analysis 37 (4), 1120-1137, 2000 | 229 | 2000 |
Splitting for dissipative particle dynamics T Shardlow SIAM Journal on Scientific computing 24 (4), 1267-1282, 2003 | 200 | 2003 |
Numerical methods for stochastic parabolic PDEs T Shardlow Numerical functional analysis and optimization 20 (1-2), 121-145, 1999 | 147 | 1999 |
The exponential integrator scheme for stochastic partial differential equations: pathwise error bounds PE Kloeden, GJ Lord, A Neuenkirch, T Shardlow Journal of Computational and Applied Mathematics 235 (5), 1245-1260, 2011 | 93 | 2011 |
SDELab: A package for solving stochastic differential equations in MATLAB H Gilsing, T Shardlow Journal of computational and applied mathematics 205 (2), 1002-1018, 2007 | 82 | 2007 |
Numerical simulation of stochastic PDEs for excitable media T Shardlow Journal of computational and applied mathematics 175 (2), 429-446, 2005 | 78 | 2005 |
Modified equations for stochastic differential equations T Shardlow BIT Numerical Mathematics 46, 111-125, 2006 | 67 | 2006 |
The Milstein scheme for stochastic delay differential equations without using anticipative calculus PE Kloeden, T Shardlow Stochastic Analysis and Applications 30 (2), 181-202, 2012 | 57 | 2012 |
Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian AE Kyprianou, A Osojnik, T Shardlow IMA Journal of Numerical Analysis 38 (3), 1550-1578, 2018 | 56 | 2018 |
Weak convergence of a numerical method for a stochastic heat equation T Shardlow BIT Numerical Mathematics 43, 179-193, 2003 | 54 | 2003 |
Weak approximation of stochastic differential delay equations E Buckwar, T Shardlow IMA journal of numerical analysis 25 (1), 57-86, 2005 | 50 | 2005 |
Postprocessing for stochastic parabolic partial differential equations GJ Lord, T Shardlow SIAM journal on numerical analysis 45 (2), 870-889, 2007 | 49 | 2007 |
Use of fin equation to calculate Nusselt numbers for rotating disks H Tang, T Shardlow, J Michael Owen Journal of Turbomachinery 137 (12), 121003, 2015 | 45 | 2015 |
A Regularized Dean--Kawasaki Model: Derivation and Analysis F Cornalba, T Shardlow, J Zimmer SIAM Journal on Mathematical Analysis 51 (2), 1137-1187, 2019 | 39 | 2019 |
Weak convergence of the Euler scheme for stochastic differential delay equations E Buckwar, R Kuske, SE Mohammed, T Shardlow LMS journal of Computation and Mathematics 11, 60-99, 2008 | 39 | 2008 |
Stochastic perturbations of the Allen-Cahn equation T Shardlow Southwest Texas State University, Department of Mathematics, 2000 | 35 | 2000 |
Geometric ergodicity for dissipative particle dynamics T Shardlow, Y Yan Stochastics and Dynamics 6 (01), 123-154, 2006 | 24 | 2006 |
Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation EH Müller, R Scheichl, T Shardlow Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 23 | 2015 |
From weakly interacting particles to a regularised Dean–Kawasaki model F Cornalba, T Shardlow, J Zimmer Nonlinearity 33 (2), 864, 2020 | 22 | 2020 |