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pamela burrage
pamela burrage
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Cited by
Cited by
Year
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
K Burrage, PM Burrage
Applied Numerical Mathematics 22 (1-3), 81-101, 1996
2841996
Numerical methods for strong solutions of stochastic differential equations: an overview
K Burrage, PM Burrage, T Tian
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2004
2312004
Order Conditions of Stochastic Runge--Kutta Methods by B-Series
K Burrage, PM Burrage
SIAM Journal on Numerical Analysis 38 (5), 1626-1646, 2000
2062000
Stochastic delay differential equations for genetic regulatory networks
T Tian, K Burrage, PM Burrage, M Carletti
Journal of Computational and Applied Mathematics 205 (2), 696-707, 2007
1902007
Runge-Kutta methods for stochastic differential equations
PM Burrage
1631999
A multi-scaled approach for simulating chemical reaction systems
K Burrage, T Tian, P Burrage
Progress in biophysics and molecular biology 85 (2-3), 217-234, 2004
1622004
Numerical solutions of stochastic differential equations–implementation and stability issues
K Burrage, P Burrage, T Mitsui
Journal of computational and applied mathematics 125 (1-2), 171-182, 2000
1412000
A variable stepsize implementation for stochastic differential equations
PM Burrage, K Burrage
SIAM Journal on Scientific Computing 24 (3), 848-864, 2003
952003
General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems
K Burrage, PM Burrage
Applied Numerical Mathematics 28 (2-4), 161-177, 1998
831998
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
M Carletti, K Burrage, PM Burrage
Mathematics and Computers in Simulation 64 (2), 271-277, 2004
762004
High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula
K Burrage, PM Burrage
Physica D: Nonlinear Phenomena 133 (1-4), 34-48, 1999
761999
Unlocking data sets by calibrating populations of models to data density: A study in atrial electrophysiology
BAJ Lawson, CC Drovandi, N Cusimano, P Burrage, B Rodriguez, ...
Science advances 4 (1), e1701676, 2018
752018
Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays
LP Deleyrolle, G Ericksson, BJ Morrison, JA Lopez, K Burrage, P Burrage, ...
PloS one 6 (1), e15844, 2011
752011
Low rank Runge–Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise
K Burrage, PM Burrage
Journal of Computational and Applied Mathematics 236 (16), 3920-3930, 2012
742012
Adaptive stepsize based on control theory for stochastic differential equations
PM Burrage, R Herdiana, K Burrage
Journal of Computational and Applied Mathematics 170 (2), 317-336, 2004
622004
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise
PM Burrage, K Burrage
Numerical Algorithms 65, 519-532, 2014
502014
Stochastic simulation for spatial modelling of dynamic processes in a living cell
K Burrage, PM Burrage, A Leier, T Marquez-Lago, DV Nicolau
Design and analysis of biomolecular circuits: engineering approaches to …, 2011
492011
Adams-type methods for the numerical solution of stochastic ordinary differential equations
L Brugnano, K Burrage, PM Burrage
BIT Numerical Mathematics 40, 451-470, 2000
372000
Environmental factors in breast cancer invasion: a mathematical modelling review
A Simmons, PM Burrage, DV Nicolau Jr, SR Lakhani, K Burrage
Pathology 49 (2), 172-180, 2017
342017
Populations of models, experimental designs and coverage of parameter space by Latin hypercube and orthogonal sampling
K Burrage, P Burrage, D Donovan, B Thompson
Procedia Computer Science 51, 1762-1771, 2015
332015
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