Research Output 1994 2019

1994

The multiplicity of bifurcation for area-preserving mappings

Shardlow, T., 1 Jul 1994, In : Bulletin of the London Mathematical Society. 26, 4, p. 382-394

Research output: Contribution to journalArticle

1996
7 Downloads (Pure)

Periodic orbits and unstable manifolds

Shardlow, T., 1 Jan 1996, In : Numerical Functional Analysis and Optimization. 17, 9-10, p. 963-989

Research output: Contribution to journalArticle

File
1997
4 Citations (Scopus)
9 Downloads (Pure)

Inertial manifolds and linear multistep methods

Shardlow, T., 30 Apr 1997, In : Numerical Algorithms. 14, 1-3, p. 189-209 21 p.

Research output: Contribution to journalArticle

File
1999
6 Citations (Scopus)

Geometric ergodicity for stochastic PDEs

Shardlow, T., 1 Jan 1999, In : Stochastic Analysis and Applications. 17, 5, p. 857-869 13 p.

Research output: Contribution to journalArticle

70 Citations (Scopus)

Numerical methods for stochastic parabolic PDEs

Shardlow, T., 1999, In : Numerical Functional Analysis and Optimization. 20, 1-2, p. 121-145

Research output: Contribution to journalArticle

2000
30 Citations (Scopus)
7 Downloads (Pure)

A perturbation theory for ergodic properties of Markov chains

Shardlow, T. & Stuart, A., 1 Jan 2000, In : SIAM Journal on Numerical Analysis (SINUM). 37, 4, p. 1120-1137 18 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)

Stochastic perturbations of the Allen-Cahn equation

Shardlow, T., 1 Dec 2000, In : Electronic Journal of Differential Equations. 2000, 47, p. 1-19 19 p.

Research output: Contribution to journalArticle

Open Access
2002
8 Downloads (Pure)

A coupled Cahn–Hilliard particle system

Shardlow, T., 13 Aug 2002, In : Electronic Journal of Differential Equations. 2002, 73, p. 1-21 21 p.

Research output: Contribution to journalArticle

Open Access
File
2003
90 Citations (Scopus)
8 Downloads (Pure)

Splitting for dissipative particle dynamics

Shardlow, T., 31 Dec 2003, In : SIAM Journal on Scientific Computing. 24, 4, p. 1267-1282 16 p.

Research output: Contribution to journalArticle

Open Access
File
25 Citations (Scopus)

Weak convergence of a numerical method for a stochastic heat equation

Shardlow, T., 2003, In : BIT Numerical Mathematics. 43, 1, p. 179-193

Research output: Contribution to journalArticle

2004
7 Citations (Scopus)
8 Downloads (Pure)

Nucleation of waves in excitable media by noise

Shardlow, T., 31 Dec 2004, In : Multiscale Modeling and Simulation : A SIAM Interdisciplinary Journal. 3, 1, p. 151-167 17 p.

Research output: Contribution to journalArticle

Open Access
File
2005
34 Citations (Scopus)

Numerical simulation of stochastic PDEs for excitable media

Shardlow, T., 15 Mar 2005, In : Journal of Computational and Applied Mathematics. 175, 2, p. 429-446 18 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Weak approximation of stochastic differential delay equations

Buckwar, E. & Shardlow, T., 1 Jan 2005, In : IMA Journal of Numerical Analysis. 25, 1, p. 57-86 30 p.

Research output: Contribution to journalArticle

2006
6 Citations (Scopus)

Computing the geodesic interpolating spline

Mills, A., Shardlow, T. & Marsland, S., 31 Dec 2006, Biomedical Image Registration WBIR 2006. Springer, p. 169-177 9 p. (Lecture Notes in Computer Science; vol. 4057).

Research output: Chapter in Book/Report/Conference proceedingChapter

14 Citations (Scopus)
12 Downloads (Pure)

Geometric ergodicity for dissipative particle dynamics

Shardlow, T. & Yan, Y., 2006, In : Stochastics and Dynamics. 6, 1, p. 123-154

Research output: Contribution to journalArticle

File
18 Citations (Scopus)
9 Downloads (Pure)

Modified equations for stochastic differential equations

Shardlow, T., 31 Mar 2006, In : BIT Numerical Mathematics. 46, 1, p. 111-125 15 p.

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)

Serial parallel folding with friction: a primitive model using cubic B-splines

Hunt, G. W., Edmunds, R., Budd, C. J. & Cosgrove, J. W., 2006, In : Journal of Structural Geology. 28, 3, p. 444-455 12 p.

Research output: Contribution to journalArticle

2007
22 Citations (Scopus)
8 Downloads (Pure)

Postprocessing for stochastic parabolic partial differential equations

Shardlow, T. & Lord, G., 30 Apr 2007, In : SIAM Journal on Numerical Analysis (SINUM). 45, 2, p. 870-889 20 p.

Research output: Contribution to journalArticle

Open Access
File
23 Citations (Scopus)
14 Downloads (Pure)

SDELab: a package for solving stochastic differential equations in MATLAB

Gilsing, H. & Shardlow, T., 15 Aug 2007, In : Journal of Computational and Applied Mathematics. 205, 2, p. 1002-1018 17 p.

Research output: Contribution to journalArticle

Open Access
File
2008
10 Citations (Scopus)

Extending Chacon-Walsh: Minimality and Generalised Starting Distributions

Cox, A., 2008, In : Seminaire de Probabilities (Strasbourg). XLI, p. 233-264

Research output: Contribution to journalArticle

Minimality
Target
Skorokhod Problem
Embedding Problem
Stopping Time
2009
124 Citations (Scopus)

Adaptivity with moving grids

Budd, C. J., Huang, W. & Russell, R. D., May 2009, In : Acta Numerica. 18, p. 111-241 131 p.

Research output: Contribution to journalArticle

Moving Grid
Adaptivity
Partial differential equations
Moving Mesh
Meteorology
30 Citations (Scopus)
75 Downloads (Pure)

A spine approach to branching diffusions with applications to L-p-convergence of martingales

Hardy, R. & Harris, S. C., Jun 2009, In : Séminaire de Probabilités XLII. 1979, p. 281-330 50 p.

Research output: Contribution to journalArticle

Open Access
File
Spine
Martingale
Branching
Branching Brownian Motion
Many to one
76 Downloads (Pure)

Asymptotics of resonances in a thermoelastic model with light local mass perturbations

Babych, N. & Zimmer, J., Jun 2009, In : Quarterly of Applied Mathematics. 67, 2, p. 311-326 16 p.

Research output: Contribution to journalArticle

Open Access
File
24 Citations (Scopus)

A two cities theorem for the parabolic Anderson model

Konig, W., Lacoin, H., Morters, P. & Sidorova, N., Jan 2009, In : Annals of Probability. 37, 1, p. 347-392 46 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
64 Downloads (Pure)

Branching Brownian motion with an inhomogeneous breeding potential

Harris, J. W. & Harris, S. C., Aug 2009, In : Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 45, 3, p. 793-801 9 p.

Research output: Contribution to journalArticle

File
Branching Brownian Motion
Blow-up
Vertical
Change of Measure
Spine
8 Citations (Scopus)
45 Downloads (Pure)
File
Hamiltonians
Equations of motion
Mechanics
Trajectories
trajectories
32 Citations (Scopus)

Cavity approach to the spectral density of non-Hermitian sparse matrices

Rogers, T. & Perez Castillo, I., 21 Jan 2009, In : Physical Review E. 79, 4 p., 012101.

Research output: Contribution to journalArticle

Non-Hermitian Matrix
Spectral Density
Sparse matrix
Cavity
Ensemble

Duality symmetries and effective dynamics in disordered hopping models

Jack, R. L. & Sollich, P., Nov 2009, In : Journal of Statistical Mechanics-Theory and Experiment. 2009, P11011.

Research output: Contribution to journalArticle

Duality
Symmetry
symmetry
Renormalization
Energy Landscape
248 Citations (Scopus)

Dynamic order-disorder in atomistic models of structural glass formers

Hedges, L. O., Jack, R. L., Garrahan, J. P. & Chandler, D., 9 Mar 2009, In : Science. 323, 5919, p. 1309-1313 5 p.

Research output: Contribution to journalArticle

disorders
glass
configurations
freezing
relaxation time
26 Citations (Scopus)

Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs

Van Lent, J., Scheichl, R. & Graham, I. G., Oct 2009, In : Numerical Linear Algebra with Applications. 16, 10, p. 775-799 25 p.

Research output: Contribution to journalArticle

Two-level Method
Schwarz Methods
Energy
Preconditioner
Overlapping
20 Citations (Scopus)
78 Downloads (Pure)
File
164 Citations (Scopus)

First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories

Garrahan, J. P., Jack, R. L., Lecomte, V., Pitard, E., van Duijvendijk, K. & van Wijland, F., 20 Feb 2009, In : Journal of Physics A: Mathematical and Theoretical. 42, 7, 34 p., 075007.

Research output: Contribution to journalArticle

Dynamical Phase Transition
First-order Phase Transition
Ensemble
Phase transitions
Large Deviations

Fractal Geometry and Stochastics IV

Bandt, C. (ed.), Morters, P. (ed.) & Zaehle, M. (ed.), 2009, Basel: Birkhäuser. (Progress in Probability)

Research output: Book/ReportBook

Fractal Geometry
Fractal
Exceptional Sets
Scaling Limit
Statistical Physics
20 Citations (Scopus)

Gaussian limits for generalized spacings

Baryshnikov, Y., Penrose, M. D. & Yukich, J. E., Feb 2009, In : Annals of Applied Probability. 19, 1, p. 158-185 28 p.

Research output: Contribution to journalArticle

Spacing
F-divergence
Log-likelihood Ratio
Information Gain
Sample point
37 Citations (Scopus)
76 Downloads (Pure)

General tax structures and the Lévy insurance risk model

Kyprianou, A. E. & Zhou, X. W., 2009, In : Journal of Applied Probability. 46, 4, p. 1146-1156 11 p.

Research output: Contribution to journalArticle

Open Access
File
Appeal
Tax
Insurance
Excursion Theory
Exit Problem
6 Citations (Scopus)
80 Downloads (Pure)

Gradient flows in asymmetric metric spaces

Chenchiah, I. V., Rieger, M. O. & Zimmer, J., 2009, In : Nonlinear Analysis: Theory Methods & Applications. 71, 11, p. 5820-5834 15 p.

Research output: Contribution to journalArticle

Open Access
File
Gradient Flow
Metric space
Hysteresis
Topology
Mathematical models
4 Citations (Scopus)
62 Downloads (Pure)

Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

Kreiner, C. F. & Zimmer, J., Nov 2009, In : Discrete and Continuous Dynamical Systems. 25, 3, p. 915-931 17 p.

Research output: Contribution to journalArticle

File
sine-Gordon equation
Concentration-compactness
Sine-Gordon Equation
Traveling Wave
Atoms
1 Citation (Scopus)

Image-model coupling: a simple information theoretic perspective for image sequences

Smith, N. D., Mitchell, C. N. & Budd, C. J., 20 Mar 2009, In : Nonlinear Processes in Geophysics. 16, 2, p. 197-210 14 p.

Research output: Contribution to journalArticle

Open Access
Geophysics
Image matching
Image recognition
Ionosphere
output
4 Citations (Scopus)

Maximum likelihood estimation for cooperative sequential adsorption

Penrose, M. D. & Shcherbakov, V., Dec 2009, In : Advances in Applied Probability. 41, 4, p. 978-1001 24 p.

Research output: Contribution to journalArticle

Maximum likelihood estimation
Maximum Likelihood Estimation
Adsorption
Maximum likelihood
Time series
5 Citations (Scopus)

Measure changes with extinction

Harris, S. C. & Roberts, M. I., 15 Apr 2009, In : Statistics & Probability Letters. 79, 8, p. 1129-1133 5 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
78 Downloads (Pure)

Modeling transformation paths of multiphase materials: The triple point of zirconia

Dondl, P. W., Hormann, K. & Zimmer, J., Mar 2009, In : Physical Review B. 79, 10, 104114.

Research output: Contribution to journalArticle

File
zirconium oxides
Zirconia
modulus of elasticity
Elastic moduli
three dimensional models
40 Citations (Scopus)

Moving mesh generation using the parabolic Monge–Ampère equation

Budd, C. J. & Williams, J. F., 2009, In : SIAM Journal on Scientific Computing. 31, 5, p. 3438-3465 28 p.

Research output: Contribution to journalArticle

Moving Mesh
Monge-Ampère Equation
Mesh generation
Mesh Generation
Partial differential equations

Multiple Intersection Exponents for Planar Brownian Motion

Klenke, A. & Morters, P., 2009, In : Journal of Statistical Physics. 136, 2, p. 373-397 25 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Normal approximation for isolated balls in an urn allocation model

Penrose, M. D., Oct 2009, In : Electronic Journal of Probability. 14, p. 2156-2181 27 p., 74.

Research output: Contribution to journalArticle

Normal Approximation
Ball
Kolmogorov Distance
Error Bounds
Model

On an extension of the space of bounded deformations

Kruzik, M. & Zimmer, J., 2009, In : Zeitschrift für Analysis und ihre Anwendungen. 31, 1, p. 75-91 17 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the critical dimensions of product odometers

Dooley, A. H. & Mortiss, G., 1 Apr 2009, In : Ergodic Theory and Dynamical Systems. 29, 02, p. 475-485

Research output: Contribution to journalArticle

Radon
Critical Dimension
Entropy
Derivatives
Order of Growth

Random fractals

Morters, P., 2009, New Perspectives in Stochastic Geometry. Kendall, W. & Molchanov, I. (eds.). London: Oxford University Press, p. 275-304 30 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

35 Citations (Scopus)

Random networks with sublinear preferential attachment: degree evolutions

Dereich, S. & Morters, P., 3 Jun 2009, In : Electronic Journal of Probability. 14, p. 1222-1267

Research output: Contribution to journalArticle

Preferential Attachment
Random Networks
Vertex of a graph
Directly proportional
Moderate Deviations
17 Citations (Scopus)

Scaling up through domain decomposition

Pechstein, C. & Scheichl, R., Oct 2009, In : Applicable Analysis. 88, 10-11, p. 1589-1608 20 p.

Research output: Contribution to journalArticle

Domain Decomposition
Computational complexity
Scaling
Decomposition
Domain decomposition methods