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Shardlow, Tony

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Author ID: shardlow.tony Recent zbMATH articles by "Shardlow, Tony"
Published as: Shardlow, T.; Shardlow, Tony
Documents Indexed: 35 Publications since 1994, including 2 Books

Publications by Year

Citations contained in zbMATH

27 Publications have been cited 371 times in 312 Documents Cited by Year
An introduction to computational stochastic PDEs. Zbl 1327.60011
Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony
110
2014
Numerical methods for stochastic parabolic PDEs. Zbl 0919.65100
Shardlow, Tony
43
1999
The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. Zbl 1208.65017
Kloeden, P. E.; Lord, G. J.; Neuenkirch, A.; Shardlow, T.
27
2011
Numerical simulation of stochastic PDEs for excitable media. Zbl 1066.65017
Shardlow, Tony
26
2005
A perturbation theory for ergodic Markov chains and application to numerical approximations. Zbl 0961.60068
Shardlow, T.; Stuart, A. M.
22
2000
Splitting for dissipative particle dynamics. Zbl 1043.60048
Shardlow, Tony
17
2003
Weak convergence of a numerical method for a stochastic heat equation. Zbl 1031.65015
Shardlow, Tony
17
2003
Weak approximation of stochastic differential delay equations. Zbl 1076.65010
Buckwar, Evelyn; Shardlow, Tony
16
2005
The Milstein scheme for stochastic delay differential equations without using anticipative calculus. Zbl 1247.65005
Kloeden, P. E.; Shardlow, T.
14
2012
Weak convergence of the Euler scheme for stochastic differential delay equations. Zbl 1223.65008
Buckwar, Evelyn; Kuske, Rachel; Mohammed, Salah-Eldin; Shardlow, Tony
12
2008
Postprocessing for stochastic parabolic partial differential equations. Zbl 1140.60036
Lord, Gabriel J.; Shardlow, Tony
12
2007
SDELab: A package for solving stochastic differential equations in MATLAB. Zbl 1116.65005
Gilsing, Hagen; Shardlow, Tony
9
2007
Modified equations for stochastic differential equations. Zbl 1091.65005
Shardlow, Tony
6
2006
Geometric ergodicity for dissipative particle dynamics. Zbl 1127.60066
Shardlow, Tony; Yan, Yubin
6
2006
Stochastic perturbation of the Allen-Cahn equation. Zbl 0959.60047
Shardlow, Tony
5
2000
Langevin equations for landmark image registration with uncertainty. Zbl 1400.92304
Marsland, Stephen; Shardlow, Tony
4
2017
On the pathwise approximation of stochastic differential equations. Zbl 1354.65016
Shardlow, Tony; Taylor, Phillip
4
2016
Geometric ergodicity for stochastic PDEs. Zbl 0933.60074
Shardlow, Tony
4
1999
A regularized Dean-Kawasaki model: derivation and analysis. Zbl 1414.60047
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes
3
2019
Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian. Zbl 06983856
Kyprianou, Andreas E.; Osojnik, Ana; Shardlow, Tony
3
2018
From weakly interacting particles to a regularised Dean-Kawasaki model. Zbl 1439.60059
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes
2
2020
Gauss-quadrature method for one-dimensional mean-field SDEs. Zbl 1378.65035
Kloeden, Peter; Shardlow, Tony
2
2017
Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation. Zbl 1372.65020
Müller, Eike H.; Scheichl, Rob; Shardlow, Tony
2
2015
Improved simulation techniques for first exit time of neural diffusion models. Zbl 1296.65011
Alzubaidi, Hasan; Shardlow, Tony
2
2014
Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling. Zbl 1380.65012
Katsiolides, Grigoris; Müller, Eike H.; Scheichl, Robert; Shardlow, Tony; Giles, Michael B.; Thomson, David J.
1
2018
Analysis of the geodesic interpolating spline. Zbl 1156.65010
Mills, Anna; Shardlow, Tony
1
2008
Nucleation of waves in excitable media by noise. Zbl 1074.60072
Shardlow, Tony
1
2004
From weakly interacting particles to a regularised Dean-Kawasaki model. Zbl 1439.60059
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes
2
2020
A regularized Dean-Kawasaki model: derivation and analysis. Zbl 1414.60047
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes
3
2019
Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian. Zbl 06983856
Kyprianou, Andreas E.; Osojnik, Ana; Shardlow, Tony
3
2018
Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling. Zbl 1380.65012
Katsiolides, Grigoris; Müller, Eike H.; Scheichl, Robert; Shardlow, Tony; Giles, Michael B.; Thomson, David J.
1
2018
Langevin equations for landmark image registration with uncertainty. Zbl 1400.92304
Marsland, Stephen; Shardlow, Tony
4
2017
Gauss-quadrature method for one-dimensional mean-field SDEs. Zbl 1378.65035
Kloeden, Peter; Shardlow, Tony
2
2017
On the pathwise approximation of stochastic differential equations. Zbl 1354.65016
Shardlow, Tony; Taylor, Phillip
4
2016
Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation. Zbl 1372.65020
Müller, Eike H.; Scheichl, Rob; Shardlow, Tony
2
2015
An introduction to computational stochastic PDEs. Zbl 1327.60011
Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony
110
2014
Improved simulation techniques for first exit time of neural diffusion models. Zbl 1296.65011
Alzubaidi, Hasan; Shardlow, Tony
2
2014
The Milstein scheme for stochastic delay differential equations without using anticipative calculus. Zbl 1247.65005
Kloeden, P. E.; Shardlow, T.
14
2012
The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. Zbl 1208.65017
Kloeden, P. E.; Lord, G. J.; Neuenkirch, A.; Shardlow, T.
27
2011
Weak convergence of the Euler scheme for stochastic differential delay equations. Zbl 1223.65008
Buckwar, Evelyn; Kuske, Rachel; Mohammed, Salah-Eldin; Shardlow, Tony
12
2008
Analysis of the geodesic interpolating spline. Zbl 1156.65010
Mills, Anna; Shardlow, Tony
1
2008
Postprocessing for stochastic parabolic partial differential equations. Zbl 1140.60036
Lord, Gabriel J.; Shardlow, Tony
12
2007
SDELab: A package for solving stochastic differential equations in MATLAB. Zbl 1116.65005
Gilsing, Hagen; Shardlow, Tony
9
2007
Modified equations for stochastic differential equations. Zbl 1091.65005
Shardlow, Tony
6
2006
Geometric ergodicity for dissipative particle dynamics. Zbl 1127.60066
Shardlow, Tony; Yan, Yubin
6
2006
Numerical simulation of stochastic PDEs for excitable media. Zbl 1066.65017
Shardlow, Tony
26
2005
Weak approximation of stochastic differential delay equations. Zbl 1076.65010
Buckwar, Evelyn; Shardlow, Tony
16
2005
Nucleation of waves in excitable media by noise. Zbl 1074.60072
Shardlow, Tony
1
2004
Splitting for dissipative particle dynamics. Zbl 1043.60048
Shardlow, Tony
17
2003
Weak convergence of a numerical method for a stochastic heat equation. Zbl 1031.65015
Shardlow, Tony
17
2003
A perturbation theory for ergodic Markov chains and application to numerical approximations. Zbl 0961.60068
Shardlow, T.; Stuart, A. M.
22
2000
Stochastic perturbation of the Allen-Cahn equation. Zbl 0959.60047
Shardlow, Tony
5
2000
Numerical methods for stochastic parabolic PDEs. Zbl 0919.65100
Shardlow, Tony
43
1999
Geometric ergodicity for stochastic PDEs. Zbl 0933.60074
Shardlow, Tony
4
1999
all top 5

Cited by 527 Authors

10 Shardlow, Tony
9 Wang, Xiaojie
8 Scheichl, Robert
8 Tambue, Antoine
7 Buckwar, Evelyn
7 Cortés López, Juan Carlos
7 Jentzen, Arnulf
7 Lang, Annika
6 Calatayud, Julia
6 Jornet, Marc
6 Kloeden, Peter Eris
6 Lord, Gabriel James
5 Feng, Xiaobing
5 Graham, Ivan G.
5 Powell, Catherine Elizabeth
4 Barth, Andrea
4 Blömker, Dirk
4 Bréhier, Charles-Edouard
4 Gan, Siqing
4 Hausenblas, Erika
4 Holm, Darryl D.
4 Kamrani, Minoo
4 Kühn, Christian
4 Maslowski, Bohdan
4 Mukam, Jean Daniel
4 Qi, Ruisheng
4 Silvester, David J.
4 Stoltz, Gabriel
4 Thalhammer, Andreas
4 Yuan, Chenggui
3 Ableidinger, Markus
3 Arnaudon, Alexis
3 Bespalov, Alexei
3 Burrage, Kevin
3 Chen, Chuchu
3 Eigel, Martin
3 Geiersbach, Caroline
3 Giles, Michael B.
3 Goldys, Beniamin
3 Hamster, C. H. S.
3 Hervé, Loïc
3 Huang, Chengming
3 Hupkes, Hermen Jan
3 Karniadakis, George Em
3 Kuo, Frances Y.
3 Ledoux, James
3 Li, Yukun
3 Liu, Meng
3 Lorton, Cody
3 Nobile, Fabio
3 Shang, Xiaocheng
3 Singh, Soumyendra
3 Sloan, Ian Hugh
3 Sommer, Stefan
3 Stuart, Andrew M.
3 Ullmann, Elisabeth
2 Akhtari, Bahar
2 Ashyralyev, Allaberen
2 Babolian, Esmail
2 Bal, Guillaume
2 Bao, Jianhai
2 Benner, Peter
2 Bou-Rabee, Nawaf M.
2 Cao, Yanzhao
2 Crowder, Adam J.
2 Debussche, Arnaud
2 Dehghan Takht Fooladi, Mehdi
2 Du, Bo
2 Elman, Howard C.
2 Fang, Zhiwei
2 Gunzburger, Max D.
2 Guo, Ping
2 Guo, Qian
2 He, Rensheng
2 Hong, Desheng
2 Hong, Jialin
2 Hosseini, Seyed Mohammad
2 Jiang, Fengze
2 Kamilis, Dimitris
2 Kruse, Raphael
2 Kuske, Rachel A.
2 Larsson, Stig
2 Leimkuhler, Benedict J.
2 Li, Buyang
2 Li, Jichun
2 Lian, Xiuguo
2 Lima, Pedro Miguel
2 Lin, Junshan
2 Liu, Di
2 Mao, Xuerong
2 Martínez-Frutos, Jesús
2 Milošević, Marija
2 Navarro Quiles, Ana
2 Neuenkirch, Andreas
2 Neumann, Johannes
2 Neumüller, Martin
2 Nuyens, Dirk
2 Onwunta, Akwum
2 Özen, Hasan Çağan
2 Petersson, Andreas
...and 427 more Authors
all top 5

Cited in 116 Serials

25 Journal of Computational and Applied Mathematics
18 SIAM/ASA Journal on Uncertainty Quantification
17 Journal of Computational Physics
12 SIAM Journal on Scientific Computing
11 SIAM Journal on Numerical Analysis
10 Applied Mathematics and Computation
10 BIT
10 Applied Numerical Mathematics
10 Journal of Scientific Computing
7 Mathematics of Computation
7 Abstract and Applied Analysis
6 Computers & Mathematics with Applications
6 Computer Methods in Applied Mechanics and Engineering
6 Stochastic Processes and their Applications
5 Numerische Mathematik
5 Potential Analysis
4 Stochastic Analysis and Applications
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Physica D
3 Journal of Complexity
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 The Journal of Mathematical Neuroscience
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 The Annals of Probability
2 Applied Mathematics and Optimization
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Transactions of the American Mathematical Society
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 The Annals of Applied Probability
2 Numerical Algorithms
2 SIAM Review
2 SIAM Journal on Optimization
2 Electronic Journal of Differential Equations (EJDE)
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 LMS Journal of Computation and Mathematics
2 Methodology and Computing in Applied Probability
2 Foundations of Computational Mathematics
2 Multiscale Modeling & Simulation
2 Stochastics
2 Statistics and Computing
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Chaos, Solitons and Fractals
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Journal of the American Statistical Association
1 Journal of Applied Probability
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 Osaka Journal of Mathematics
1 Probability Theory and Related Fields
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 European Journal of Applied Mathematics
1 Communications in Statistics. Theory and Methods
1 Journal of Elasticity
1 SIAM Journal on Mathematical Analysis
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Mathematical Imaging and Vision
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 Monte Carlo Methods and Applications
1 Engineering Analysis with Boundary Elements
1 Bernoulli
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Discrete Dynamics in Nature and Society
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Geosciences
1 RAIRO. Operations Research
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Computational Methods in Applied Mathematics
1 Advanced Nonlinear Studies
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Machine Learning Research (JMLR)
1 Communications on Pure and Applied Analysis
...and 16 more Serials

Citations by Year