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Mathematics
Australia
2026

D-Index & Metrics

Mathematics

D-Index
68
Citations
16664
World Ranking
315
National Ranking
6

Research.com Recognitions

  • 2026 - Research.com Mathematics in Australia Leader Award
  • 2025 - Research.com Mathematics in Australia Leader Award

Overview

Kevin Burrage is affiliated with the Queensland University of Technology in Australia. Their work spans multiple areas in science and mathematics, with a primary focus on medical and mathematical research. The breadth of their studies includes both theoretical and applied approaches.

The scientist's recent publications illustrate diverse interests and contributions across several topics and journals. Their recent papers include:

  • An improved firefly algorithm for global continuous optimization problems, 2020, Expert Systems with Applications
  • Identifiability analysis for stochastic differential equation models in systems biology, 2020, Journal of The Royal Society Interface
  • Support vector regression with asymmetric loss for optimal electric load forecasting, 2021, Energy
  • An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media, 2020, Communications in Nonlinear Science and Numerical Simulation
  • Analysis of sloppiness in model simulations: unveiling parameter uncertainty when mathematical models are fitted to data, 2022, arXiv (Cornell University)

Their frequent co-authors reflect a collaborative network within computational, mathematical, and biological sciences. Some of the scientists with whom they have most consistently collaborated are:

  • Pamela Burrage
  • Brodie Lawson
  • Alfonso Bueno-Orovio
  • Rodrigo Weber dos Santos
  • Matthew J. Simpson

Publication venues that appear regularly in their work include:

  • arXiv (Cornell University)
  • Medical Image Analysis
  • Numerical Algorithms
  • bioRxiv (Cold Spring Harbor Laboratory)
  • Journal of The Royal Society Interface

Kevin Burrage's research focuses on two main fields of study:

  • Medicine
  • Mathematics

Within these fields, they have contributed substantially to several subfields such as:

  • Molecular Biology
  • Cardiology and Cardiovascular Medicine
  • Modeling and Simulation
  • Numerical Analysis
  • Computational Theory and Mathematics

The topics most frequently addressed in their work include:

  • Gene Regulatory Network Analysis
  • Numerical methods for differential equations
  • Mathematical Biology Tumor Growth
  • Cardiac electrophysiology and arrhythmias
  • Stochastic processes and financial applications
  • ECG Monitoring and Analysis
  • Fractional Differential Equations Solutions

Best Publications

  • Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation

    Fawang Liu;Fawang Liu;Pinghui Zhuang;Vo Anh;Ian Turner

  • Parallel and Sequential Methods for Ordinary Differential Equations

    Kevin Burrage

  • Stability Criteria for Implicit Runge–Kutta Methods

    Kevin Burrage;J. C. Butcher

  • Binomial leap methods for simulating stochastic chemical kinetics.

    Tianhai Tian;Kevin Burrage

  • Fourier spectral methods for fractional-in-space reaction-diffusion equations

    Alfonso Bueno-Orovio;David Kay;Kevin Burrage;Kevin Burrage

  • A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation

    Fanhai Zeng;Fawang Liu;Changpin Li;Kevin Burrage

  • Non-linear stability of a general class of differential equation methods

    Kevin Burrage;J. C. Butcher

  • Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation

    Manuel Barrio;Kevin Burrage;André Leier;Tianhai Tian

  • Stochastic models for regulatory networks of the genetic toggle switch

    Tianhai Tian;Kevin Burrage

  • Restarted GMRES preconditioned by deflation

    Jocelyne Erhel;Kevin Burrage;Bert Pohl

  • High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations

    Kevin Burrage;Pamela Burrage

  • Numerical methods and analysis for a class of fractional advection-dispersion models

    F. Liu;P. Zhuang;K. Burrage

  • An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations

    Kevin Burrage;Nicholas Hale;David Kay

  • A new fractional finite volume method for solving the fractional diffusion equation

    Fawang Liu;Pinghui Zhuang;Ian Turner;Kevin Burrage;Kevin Burrage

  • Numerical methods for strong solutions of stochastic differential equations: an overview

    Kevin Burrage;Pamela Burrage;Tianhai Tian

  • A special family of Runge-Kutta methods for solving stiff differential equations

    Kevin Burrage

  • Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization

    Alfonso Bueno-Orovio;David Kay;Vicente Grau;Blanca Rodriguez

  • Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

    H. Jiang;F. Liu;I. Turner;K. Burrage

  • Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

    F. Liu;C. Yang;K. Burrage

  • Order conditions of stochastic Runge-Kutta methods by B-series

    Kevin Burrage;Pamela Burrage

  • Identifying optimal lipid raft characteristics required to promote nanoscale protein-protein interactions on the plasma membrane.

    Dan V. Nicolau;Kevin Burrage;Robert G. Parton;John F. Hancock

Frequent Co-Authors

Fawang Liu
Fawang Liu Queensland University of Technology
Ian Turner
Ian Turner Queensland University of Technology
André Leier
André Leier University of Alabama at Birmingham
Graeme R. Hanson
Graeme R. Hanson University of Queensland
Vo Anh
Vo Anh Queensland University of Technology
Matthew J. Simpson
Matthew J. Simpson Queensland University of Technology
Zdzislaw Jackiewicz
Zdzislaw Jackiewicz Arizona State University
Mark A. Griffin
Mark A. Griffin Curtin University
John C. Butcher
John C. Butcher University of Auckland
Mark A. Ragan
Mark A. Ragan University of Queensland

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