Pamela M. Burrage

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 15

Top Topics

Differential Equations

Parameter Space

Numerical Solution

Top Venues

Numer. Algorithms

SIAM J. Matrix Anal. Appl.

Publications

Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations. J. Sci. Comput. 99 (2) (2024)
Pamela M. Burrage, Hasitha N. Weerasinghe, Kevin Burrage
Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach. Numer. Algorithms 96 (3) (2024)
Shamika Kekulthotuwage Don, Kevin Burrage, Kate J. Helmstedt, Pamela M. Burrage
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size. Axioms 12 (4) (2023)
Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations. CoRR (2023)
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. Commun. Nonlinear Sci. Numer. Simul. 116 (2023)
Kevin Burrage, Pamela M. Burrage, Grant Lythe
Effective numerical methods for simulating diffusion on a spherical surface in three dimensions. Numer. Algorithms 91 (4) (2022)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels. SIAM J. Matrix Anal. Appl. 42 (4) (2021)
Guoguo Yang, Kevin Burrage, Yoshio Komori, Pamela M. Burrage, Xiaohua Ding
A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Numer. Algorithms 88 (4) (2021)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions. Appl. Math. Comput. 389 (2021)
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. CoRR (2020)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
The reflectionless properties of Toeplitz waves and Hankel waves: an analysis via Bessel functions. CoRR (2020)
F. A. Abdullah, Fawang Liu, Pamela M. Burrage, Kevin Burrage, T. Li
Novel analytical and numerical techniques for fractional temporal SEIR measles model. Numer. Algorithms 79 (1) (2018)
Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7 (2) (2018)
Brodie Lawson, Chris Drovandi, Pamela M. Burrage, Blanca Rodríguez, Kevin Burrage
Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue. CinC (2017)
Kevin Burrage, Pamela M. Burrage, Diane M. Donovan, Bevan Thompson
Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling. ICCS (2015)
Pamela M. Burrage, Kevin Burrage
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Numer. Algorithms 65 (3) (2014)
Kevin Burrage, Pamela M. Burrage
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. J. Comput. Appl. Math. 236 (16) (2012)
André Leier, Kevin Burrage, Pamela M. Burrage
Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes. International Conference on Computational Science (1) (2007)
M. Carletti, Kevin Burrage, Pamela M. Burrage
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Math. Comput. Simul. 64 (2) (2004)
Pamela M. Burrage, Kevin Burrage
A Variable Stepsize Implementation for Stochastic Differential Equations. SIAM J. Sci. Comput. 24 (3) (2003)
Kevin Burrage, Pamela M. Burrage
-Series. SIAM J. Numer. Anal. 38 (5) (2000)