Tony Shardlow
School of Mathematics
MSc in Applied Mathematics
Teaching
Research
Bibliography generated from web.aux
- [24]
- P. E. Kloeden and
T. Shardlow.
The
Milstein scheme for stochastic delay differential equations without using
anticipative calculus.
Stoch. Anal. Appl., 30:181–202, 2012.
- [23]
- P.E. Kloeden, G. J. Lord,
A. Neuenkirch, and T. Shardlow.
The
exponential integrator scheme for stochastic partial differential equations:
pathwise error bounds.
J. Comp. Appl. Math, 235(5):1245–1260, 2011.
- [22]
- Hasan Alzubaidi and Tony
Shardlow.
Numerical
simulations of SDEs and SPDEs.
In Carlo Laing and Gabriel Lord, editors, Stochastic Methods in
Neuroscience, chapter 12, pages 344–366. OUP, 2009.
- [21]
- Evelyn Buckwar, Rachel Kuske,
Salah-Eldin Mohammed, and Tony Shardlow.
Weak convergence of the
Euler scheme for stochastic differential delay equations.
LMS J. Comput. Math., 11:60–99, 2008.
- [20]
- Anna Mills and Tony Shardlow.
Analysis of the geodesic
interpolating spline.
European J. Appl. Math., 19(5):519–539, 2008.
- [19]
- Gabriel J. Lord and Tony Shardlow.
Postprocessing for stochastic
parabolic partial differential equations.
SIAM J. Numer. Anal., 45(2):870–889 (electronic), 2007.
- [18]
- Anna Mills,
Stephen Marsland, and Tony Shardlow.
Computing the Geodesic
Interpolating Spline.
In J. P. W. Pluim, B. Lika, and F. A. Gerritsen, editors, Biomedical
Image Registration, volume 4057 of LNCS, pages 169–.
Springer, 2006.
- [17]
- Hagen Gilsing and Tony
Shardlow.
SDELab: a package for solving stochastic differential equations in MATLAB.
J. Comput. Appl. Math., 205(2):1002–1018, 2007.
- [16]
- Tony Shardlow and Yubin Yan.
Geometric
ergodicity for dissipative particle dynamics.
Stochastics and Dynamics, 6(1):31 pages, March 2006.
- [15]
- Tony Shardlow.
Numerical simulation of
stochastic PDEs for excitable media.
J. Comput. Appl. Math., 175(2):429–446, March 2005.
- [14]
- Evelyn Buckwar and Tony
Shardlow.
Weak approximation
of stochastic delay differential equations.
IMA J. Numerical Analysis, 25(1):57–86, 2005.
- [13]
- Tony Shardlow.
Nucleation of waves
in excitable media by noise.
SIAM Multiscale Model. Simul., 3(1):151–167, 2004.
- [12]
- Tony Shardlow.
Modified equations for
stochastic differential equations.
BIT Numerical Mathematics, (46), March 2006.
- [11]
- James F. Blowey, Alan W. Craig,
and Tony Shardlow, editors.
Frontiers in numerical
analysis.
Universitext. Springer-Verlag, Berlin, 2003.
Papers from the 10th LMS-EPSRC Numerical Analysis Summer School held at the
University of Durham, Durham, July 7–19, 2002.
- [10]
- Tony Shardlow.
Weak
convergence of a numerical method for a stochastic heat equation.
BIT, 43(1):179–193, 2003.
- [9]
- Tony Shardlow.
Splitting for
dissipative particle dynamics.
SIAM J. Sci. Comput., 24(4):1267–1282, 2003.
- [8]
- Tony Shardlow.
A coupled
Cahn-Hilliard particle system.
Electron. J. Differential Equations, 73:21 pages, 2002.
- [7]
- Tony Shardlow.
Stochastic
perturbations of the Allen-Cahn equation.
Electron. J. Differential Equations, 47:19 pages, 2000.
- [6]
- Tony Shardlow and
Andrew M. Stuart.
A perturbation theory
for ergodic properties of Markov chains.
SIAM J. Numer. Anal., 37(4):1120–1137, 2000.
- [5]
- Tony Shardlow.
Numerical
methods for stochastic parabolic PDEs.
Numer. Funct. Anal. Optim., 20(1-2):121–145, 1999.
- [4]
- Tony Shardlow.
Geometric ergodicity for stochastic PDEs.
Stoch. Anal. App., 17(5):14 pages, September 1999.
- [3]
- Tony Shardlow.
Inertial manifolds and linear multistep methods.
Numer. Algorithms., 14(1–3):189–209, 1997.
- [2]
- Tony Shardlow.
Periodic orbits and unstable manifolds.
Numer. Funct. Anal. Optim., 17(9–10):963–989, 1996.
- [1]
- Robert S. MacKay and Tony Shardlow.
The multiplicity of bifurcation for area preserving mappings.
Bull. LMS, 4:382–394, 1994.