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A Walk Outside Spheres for the fractional Laplacian: Fields and first eigenvalue

Mathematics of computation, 2019-11, Vol.88 (320), p.2767-2792

Shardlow, Tony

2019

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An Introduction to Computational Stochastic PDEs

1, 2014

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Splitting for dissipative particle dynamics

SIAM journal on scientific computing, 2003, Vol.24 (4), p.1267-1282

SHARDLOW, Tony

2003

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The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime

ESAIM: Mathematical Modelling and Numerical Analysis, 2023-09, Vol.57 (5), p.3061-3090

2023

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A Regularized Dean--Kawasaki Model: Derivation and Analysis

SIAM journal on mathematical analysis, 2019-01, Vol.51 (2), p.1137-1187

2019

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Gauss-Quadrature Method for One-Dimensional Mean-Field SDEs

SIAM journal on scientific computing, 2017-01, Vol.39 (6), p.A2784-A2807

2017

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Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions

Journal of Differential Equations, 2021-05, Vol.284, p.253-283

2021

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From weakly interacting particles to a regularised Dean-Kawasaki model

Nonlinearity, 2020-02, Vol.33 (2), p.864-891

2020

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Langevin Equations for Landmark Image Registration with Uncertainty

SIAM journal on imaging sciences, 2017-01, Vol.10 (2), p.782-807

2017

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On the pathwise approximation of stochastic differential equations

BIT, 2016-09, Vol.56 (3), p.1101-1129

2016

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Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian

IMA journal of numerical analysis, 2018-07, Vol.38 (3), p.1550-1578

2018

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Frontiers in Numerical Analysis: Durham 2002

1, 2003

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Deep Surrogate Accelerated Delayed-Acceptance Hamiltonian Monte Carlo for Bayesian Inference of Spatio-Temporal Heat Fluxes in Rotating Disc Systems

SIAM/ASA journal on uncertainty quantification, 2023-09, Vol.11 (3), p.970-995

2023

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Use of Bayesian statistics to calculate transient heat fluxes on compressor disks

Physics of fluids (1994), 2022-05, Vol.34 (5)

2022

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Numerical simulation of stochastic PDEs for excitable media

Journal of computational and applied mathematics, 2005-03, Vol.175 (2), p.429-446

Shardlow, Tony

2005

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Use of Fin Equation to Calculate Nusselt Numbers for Rotating Disks

Journal of turbomachinery, 2015-12, Vol.137 (12)

2015

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Improved Simulation Techniques for First Exit Time of Neural Diffusion Models

Communications in statistics. Simulation and computation, 2014-11, Vol.43 (10), p.2508-2520

2014

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032 A novel human-assisted computer algorithm for identification of hand bones on plain radiographs in psoriatic arthritis

Rheumatology (Oxford, England), 2019-04, Vol.58 (Supplement_3)

2019

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A coupled Cahn-Hilliard particle system

Electronic journal of differential equations, 2002-08, Vol.2002 (73), p.1-21

Tony Shardlow

2002

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Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2015-04, Vol.471 (2176), p.1-20

2015

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Interaction of waves in a one dimensional stochastic PDE model of excitable media

Discrete and continuous dynamical systems. Series B, 2013-09, Vol.18 (7), p.1735-1754

2013

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Modified equations for stochastic differential equations

BIT, 2006-03, Vol.46 (1), p.111-125

SHARDLOW, Tony

2006

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Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2015-04, Vol.471 (2176), p.20140679-20140679

2015

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Stochastic perturbations of the Allen-Cahn equation

Electronic journal of differential equations, 2000-06, Vol.2000 (47), p.1-19

Tony Shardlow

2000

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Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling

Journal of computational physics, 2018-02, Vol.354, p.320-343

2018

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A Walk Outside Spheres for the fractional Laplacian: Fields and first eigenvalue

An Introduction to Computational Stochastic PDEs

Splitting for dissipative particle dynamics

The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime

A Regularized Dean--Kawasaki Model: Derivation and Analysis

Gauss-Quadrature Method for One-Dimensional Mean-Field SDEs

Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions

From weakly interacting particles to a regularised Dean-Kawasaki model

Langevin Equations for Landmark Image Registration with Uncertainty

On the pathwise approximation of stochastic differential equations

Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian

Frontiers in Numerical Analysis: Durham 2002

Deep Surrogate Accelerated Delayed-Acceptance Hamiltonian Monte Carlo for Bayesian Inference of Spatio-Temporal Heat Fluxes in Rotating Disc Systems

Use of Bayesian statistics to calculate transient heat fluxes on compressor disks

Numerical simulation of stochastic PDEs for excitable media

Use of Fin Equation to Calculate Nusselt Numbers for Rotating Disks

Improved Simulation Techniques for First Exit Time of Neural Diffusion Models

032 A novel human-assisted computer algorithm for identification of hand bones on plain radiographs in psoriatic arthritis

A coupled Cahn-Hilliard particle system

Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation

Interaction of waves in a one dimensional stochastic PDE model of excitable media

Modified equations for stochastic differential equations

Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation

Stochastic perturbations of the Allen-Cahn equation

Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling

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