Antony R Humphries
Antony R Humphries
Mathematics & Statistics, and, Physiology, McGill University
Verified email at mcgill.ca - Homepage
TitleCited byYear
Dynamical systems and numerical analysis, volume 2 of Cambridge Monographs on Applied and Computational Mathematics
AM Stuart, AR Humphries
Cambridge University Press, Cambridge, 1996
1018*1996
Runge–Kutta methods for dissipative and gradient dynamical systems
AR Humphries, AM Stuart
SIAM journal on numerical analysis 31 (5), 1452-1485, 1994
1481994
Model problems in numerical stability theory for initial value problems
AM Stuart, AR Humphries
SIAM review 36 (2), 226-257, 1994
991994
Spurious solutions of numerical methods for initial value problems
AR Humphries
IMA journal of numerical analysis 13 (2), 263-290, 1993
731993
Computation of mixed type functional differential boundary value problems
KA Abell, CE Elmer, AR Humphries, ES Van Vleck
SIAM Journal on Applied Dynamical Systems 4 (3), 755-781, 2005
682005
The essential stability of local error control for dynamical systems
AM Stuart, AR Humphries
SIAM journal on numerical analysis 32 (6), 1940-1971, 1995
38*1995
A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of g-csf/neutrophil binding and internalization
M Craig, AR Humphries, MC Mackey
Bulletin of mathematical biology 78 (12), 2304-2357, 2016
272016
Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem
RC Calleja, EJ Doedel, AR Humphries, A Lemus-Rodríguez, EB Oldeman
Celestial Mechanics and Dynamical Astronomy 114 (1-2), 77-106, 2012
232012
Dynamics of a delay differential equation with multiple state-dependent delays
AR Humphries, OA DeMasi, FMG Magpantay, F Upham
Disc. Cont. Dyn. Syst. A 32, 2701-2727, 2012
232012
Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia
M Craig, AR Humphries, F Nekka, J Bélair, J Li, MC Mackey
Journal of theoretical biology 385, 77-89, 2015
222015
Resonance phenomena in a scalar delay differential equation with two state-dependent delays
RC Calleja, AR Humphries, B Krauskopf
SIAM Journal on Applied Dynamical Systems 16 (3), 1474-1513, 2017
192017
Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay
J De Luca, N Guglielmi, T Humphries, A Politi
Journal of Physics A: Mathematical and Theoretical 43 (20), 205103, 2010
162010
Normal and pathological dynamics of platelets in humans
GP Langlois, M Craig, AR Humphries, MC Mackey, JM Mahaffy, J Bélair, ...
Journal of mathematical biology 75 (6-7), 1411-1462, 2017
152017
Synchronization in ecological systems by weak dispersal coupling with time delay
E Wall, F Guichard, AR Humphries
Theoretical ecology 6 (4), 405-418, 2013
152013
The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube
CJ Budd, AR Humphries, AJ Wathen
SIAM Journal on Scientific Computing 20 (5), 1875-1904, 1999
15*1999
Transit and lifespan in neutrophil production: implications for drug intervention
DC De Souza, M Craig, T Cassidy, J Li, F Nekka, J Bélair, AR Humphries
Journal of pharmacokinetics and pharmacodynamics 45 (1), 59-77, 2018
132018
Finite element boundary value integration of Wheeler–Feynman electrodynamics
J De Luca, AR Humphries, SB Rodrigues
Journal of Computational and Applied Mathematics 236 (13), 3319-3337, 2012
132012
Deterministic and random dynamical systems: theory and numerics
AR Humphries, AM Stuart
Modern Methods in Scientific Computing and Applications, 211-254, 2002
132002
Weak finite‐dimensional approximations of semi‐linear elliptic PDEs with near‐critical exponents
CJ Budd, AR Humphries
Asymptotic Analysis 17 (3), 185-220, 1998
121998
Numerical analysis of dynamical systems.
AR Humphries
University of Bath, 1993
12*1993
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Articles 1–20