| Dynamical systems and numerical analysis AM Stuart, AR Humphries Cambridge University Press, Cambridge, 1996 | 1357 | 1996 |
| Runge-Kutta methods for dissipative and gradient dynamical systems AR Humphries, AM Stuart SIAM journal on numerical analysis 31 (5), 1452-1485, 1994 | 171 | 1994 |
| Model problems in numerical stability theory for initial value problems AM Stuart, AR Humphries SIAM review 36 (2), 226-257, 1994 | 127 | 1994 |
| 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 | 95 | 2005 |
| 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 | 79 | 2016 |
| Spurious solutions of numerical methods for initial value problems AR Humphries IMA journal of numerical analysis 13 (2), 263-290, 1993 | 77 | 1993 |
| 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 | 55 | 2015 |
| 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 | 55 | 2012 |
| 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 | 46 | 2017 |
| The essential stability of local error control for dynamical systems AM Stuart, AR Humphries SIAM journal on numerical analysis 32 (6), 1940-1971, 1995 | 41* | 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 | 40 | 2017 |
| 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 | 33 | 2012 |
| 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 | 29 | 2019 |
| 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 | 28 | 2018 |
| 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 | 25 | 2019 |
| Synchronization in ecological systems by weak dispersal coupling with time delay E Wall, F Guichard, AR Humphries Theoretical ecology 6 (4), 405-418, 2013 | 24 | 2013 |
| 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 | 21 | 2020 |
| 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 | 21 | 2010 |
| Deterministic and random dynamical systems: theory and numerics AR Humphries, AM Stuart Modern Methods in Scientific Computing and Applications, 211-254, 2002 | 20 | 2002 |
| 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 |
Andrew M StuartComputing + Mathematical Sciences, CaltechVerifisert e-postadresse på caltech.edu
