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Michael J. Ward
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The stability of spike solutions to the one-dimensional Gierer–Meinhardt model
D Iron, MJ Ward, J Wei
Physica D: Nonlinear Phenomena 150 (1-2), 25-62, 2001
2712001
Strong localized perturbations of eigenvalue problems
MJ Ward, JB Keller
SIAM Journal on Applied Mathematics 53 (3), 770-798, 1993
2431993
An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: The sphere
AF Cheviakov, MJ Ward, R Straube
Multiscale Modeling & Simulation 8 (3), 836-870, 2010
1932010
An asymptotic analysis of the mean first passage time for narrow escape problems: Part I: Two-dimensional domains
S Pillay, MJ Ward, A Peirce, T Kolokolnikov
Multiscale Modeling & Simulation 8 (3), 803-835, 2010
1862010
Touchdown and pull-in voltage behavior of a MEMS device with varying dielectric properties
Y Guo, Z Pan, MJ Ward
SIAM Journal on Applied Mathematics 66 (1), 309-338, 2005
1742005
Summing logarithmic expansions for singularly perturbed eigenvalue problems
MJ Ward, WD Heshaw, JB Keller
SIAM Journal on Applied Mathematics 53 (3), 799-828, 1993
1631993
Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model
Ward, Wei
Journal of Nonlinear Science 13, 209-264, 2003
1462003
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
T Kolokolnikov, MS Titcombe, MJ Ward
European Journal of Applied Mathematics 16 (2), 161-200, 2005
1292005
Diffusion on a sphere with localized traps: Mean first passage time, eigenvalue asymptotics, and Fekete points
D Coombs, R Straube, M Ward
SIAM Journal on Applied Mathematics 70 (1), 302-332, 2009
1232009
The existence and stability of spike equilibria in the one-dimensional Gray–Scott model: the pulse-splitting regime
T Kolokolnikov, MJ Ward, J Wei
Physica D: Nonlinear Phenomena 202 (3-4), 258-293, 2005
1102005
First passage statistics for the capture of a Brownian particle by a structured spherical target with multiple surface traps
AE Lindsay, AJ Bernoff, MJ Ward
Multiscale Modeling & Simulation 15 (1), 74-109, 2017
1072017
Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps
AF Cheviakov, MJ Ward
Mathematical and Computer Modelling 53 (7-8), 1394-1409, 2011
1042011
The stability and dynamics of localized spot patterns in the two-dimensional Gray–Scott model
W Chen, MJ Ward
SIAM Journal on Applied Dynamical Systems 10 (2), 582-666, 2011
1022011
On the exponentially slow motion of a viscous shock
LG Reyna, MJ Ward
Communications on Pure and Applied Mathematics 48 (2), 79-120, 1995
1021995
The existence and stability of asymmetric spike patterns for the Schnakenberg model
MJ Ward, J Wei
Studies in Applied Mathematics 109 (3), 229-264, 2002
1002002
A metastable spike solution for a nonlocal reaction-diffusion model
D Iron, MJ Ward
SIAM Journal on Applied Mathematics 60 (3), 778-802, 2000
962000
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain
T Kolokolnikov, MJ Ward, J Wei
Journal of nonlinear science 19, 1-56, 2009
912009
The dynamics of multispike solutions to the one-dimensional Gierer--Meinhardt model
D Iron, MJ Ward
SIAM Journal on Applied Mathematics 62 (6), 1924-1951, 2002
912002
Metastable bubble solutions for the Allen-Cahn equation with mass conservation
MJ Ward
SIAM Journal on Applied Mathematics 56 (5), 1247-1279, 1996
891996
Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability
MJ Ward, J Wei
European Journal of Applied Mathematics 13 (3), 283-320, 2002
882002
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