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Antony R Humphries
Antony R Humphries
Mathematics & Statistics, and, Physiology, McGill University
Verified email at mcgill.ca - Homepage
Title
Cited by
Cited by
Year
Dynamical systems and numerical analysis
AM Stuart, AR Humphries
Cambridge University Press, Cambridge, 1996
13121996
Runge-Kutta methods for dissipative and gradient dynamical systems
AR Humphries, AM Stuart
SIAM journal on numerical analysis 31 (5), 1452-1485, 1994
1691994
Model problems in numerical stability theory for initial value problems
AM Stuart, AR Humphries
SIAM review 36 (2), 226-257, 1994
1191994
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
892005
Spurious solutions of numerical methods for initial value problems
AR Humphries
IMA journal of numerical analysis 13 (2), 263-290, 1993
771993
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
712016
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), 77-106, 2012
492012
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
472015
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
452017
The essential stability of local error control for dynamical systems
AM Stuart, AR Humphries
SIAM journal on numerical analysis 32 (6), 1940-1971, 1995
40*1995
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, 1411-1462, 2017
362017
Dynamics of a delay differential equation with multiple state-dependent delays
AR Humphries, OA DeMasi, FMG Magpantay, F Upham
Discrete and Continuous Dynamical Systems - Series A 32 (8), 2701-2727, 2012
342012
Transit and lifespan in neutrophil production: implications for drug intervention
D Câmara De Souza, M Craig, T Cassidy, J Li, F Nekka, J Bélair, ...
Journal of Pharmacokinetics and Pharmacodynamics 45 (1), 59-77, 2018
252018
Synchronization in ecological systems by weak dispersal coupling with time delay
E Wall, F Guichard, AR Humphries
Theoretical ecology 6 (4), 405-418, 2013
212013
Dynamics of a mathematical hematopoietic stem-cell population model
DC De Souza, AR Humphries
SIAM Journal on Applied Dynamical Systems 18 (2), 808-852, 2019
202019
Equivalences between age structured models and state dependent distributed delay differential equations
T Cassidy, M Craig, AR Humphries
Math Biosci Eng 16 (5), 5419-5450, 2019
202019
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
202010
Deterministic and random dynamical systems: theory and numerics
AR Humphries, AM Stuart
Modern Methods in Scientific Computing and Applications, 211-254, 2002
202002
A mathematical model of viral oncology as an immuno-oncology instigator
T Cassidy, AR Humphries
Mathematical Medicine and Biology: A Journal of the IMA 37 (1), 117-151, 2020
18*2020
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
17*1999
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