Order Conditions of Stochastic Runge-Kutta Methods by B-Series. - Kevin Burrage; Pamela M. Burrage (SIAM J. Numer. Anal., 2000)

A Variable Stepsize Implementation for Stochastic Differential Equations. - Pamela M. Burrage; Kevin Burrage (SIAM J. Sci. Comput., 2003)

Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. - Margherita Carletti; Kevin Burrage; Pamela M. Burrage (Math. Comput. Simul., 2004)

Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes. - André Leier; Kevin Burrage; Pamela M. Burrage (International Conference on Computational Science (1), 2007)

Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. - Kevin Burrage; Pamela M. Burrage (J. Comput. Appl. Math., 2012)

Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. - Pamela M. Burrage; Kevin Burrage (Numer. Algorithms, 2014)

Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling. - Kevin Burrage; Pamela M. Burrage; Diane M. Donovan; Bevan Thompson (ICCS, 2015)

Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue. - Brodie Lawson; Chris Drovandi; Pamela M. Burrage; Blanca Rodríguez; Kevin Burrage (CinC, 2017)

On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. - Kevin Burrage; Pamela M. Burrage; Ian W. Turner; Fanhai Zeng (Axioms, 2018)

Novel analytical and numerical techniques for fractional temporal SEIR measles model. - Farah Aini Abdullah; Fawang Liu; Pamela M. Burrage; Kevin Burrage; T. Li (Numer. Algorithms, 2018)

The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions. - Kevin Burrage; Pamela M. Burrage; Shev MacNamara (Appl. Math. Comput., 2021)

A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. - Guoguo Yang; Kevin Burrage; Yoshio Komori; Pamela M. Burrage; Xiaohua Ding (Numer. Algorithms, 2021)

Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels. - Kevin Burrage; Pamela M. Burrage; Shev MacNamara (SIAM J. Matrix Anal. Appl., 2021)

Effective numerical methods for simulating diffusion on a spherical surface in three dimensions. - Kevin Burrage; Pamela M. Burrage; Grant Lythe (Numer. Algorithms, 2022)

Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. - Brodie A. J. Lawson; Rodrigo Weber dos Santos; Ian W. Turner; Alfonso Bueno-Orovio; Pamela M. Burrage; Kevin Burrage (Commun. Nonlinear Sci. Numer. Simul., 2023)

Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size. - Shamika Kekulthotuwage Don; Kevin Burrage; Kate J. Helmstedt; Pamela M. Burrage (Axioms, 2023)

Perlin noise generation of physiologically realistic cardiac fibrosis. - Brodie A. J. Lawson; Christopher C. Drovandi; Pamela M. Burrage; Alfonso Bueno-Orovio; Rodrigo Weber dos Santos; Blanca Rodríguez; Kerrie L. Mengersen; Kevin Burrage (Medical Image Anal., 2024)

A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations. - Luigi Brugnano; Kevin Burrage; Pamela M. Burrage; Felice Iavernaro (J. Sci. Comput., 2024)

Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach. - Pamela M. Burrage; Hasitha N. Weerasinghe; Kevin Burrage (Numer. Algorithms, 2024)

Learning Surrogate Equations for the Analysis of an Agent-Based Cancer Model. - Kevin Burrage; Pamela M. Burrage; Justin Noah Kreikemeyer; Adelinde M. Uhrmacher; Hasitha N. Weerasinghe (CoRR, 2025)

Magnus Methods for Stochastic Delay-Differential Equations. - Mitchell T. Griggs; Kevin Burrage; Pamela M. Burrage (CoRR, 2025)

Implementation of Milstein Schemes for Stochastic Delay-Differential Equations with Arbitrary Fixed Delays. - Mitchell T. Griggs; Kevin Burrage; Pamela M. Burrage (CoRR, 2025)