Kevin Burrage

According to our database1, Kevin Burrage authored at least 107 papers between 1986 and 2021.

Collaborative distances:



In proceedings 
PhD thesis 




The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions.
Appl. Math. Comput., 2021

An improved firefly algorithm for global continuous optimization problems.
Expert Syst. Appl., 2020

Globally simple Heffter arrays H(n;k) when k≡0, 3(mod4).
Discret. Math., 2020

Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations.
SIAM J. Sci. Comput., 2019

A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable.
PLoS Comput. Biol., 2019

A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations.
J. Comput. Phys., 2019

S-ROCK methods for stochastic delay differential equations with one fixed delay.
J. Comput. Appl. Math., 2019

A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations.
SIAM J. Sci. Comput., 2018

Novel analytical and numerical techniques for fractional temporal SEIR measles model.
Numer. Algorithms, 2018

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators.
J. Sci. Comput., 2018

On the Analysis of Mixed-Index Time Fractional Differential Equation Systems.
Axioms, 2018

Weak Second Order Explicit Exponential Runge-Kutta Methods for Stochastic Differential Equations.
SIAM J. Sci. Comput., 2017

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary.
J. Comput. Phys., 2017

Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging.
Commun. Nonlinear Sci. Numer. Simul., 2017

Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue.
Proceedings of the Computing in Cardiology, 2017

Anomalous Diffusion in Cardiac Tissue as an Index of Myocardial Microstructure.
IEEE Trans. Medical Imaging, 2016

Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients.
SIAM J. Numer. Anal., 2016

Virtual reality for conservation.
Proceedings of the 21st International Conference on Web3D Technology, 2016

Proceedings of the IEEE International Conference on Bioinformatics and Biomedicine, 2016

A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain.
J. Comput. Phys., 2015

Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling.
Proceedings of the International Conference on Computational Science, 2015

A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.
SIAM J. Numer. Anal., 2014

Stochastic Dynamics of Interacting Haematopoietic Stem Cell Niche Lineages.
PLoS Comput. Biol., 2014

Numer. Algorithms, 2014

Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise.
Numer. Algorithms, 2014

Numerical simulation of the fractional Bloch equations.
J. Comput. Appl. Math., 2014

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media.
Comput. Math. Appl., 2014

Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method.
BMC Syst. Biol., 2014

A Computational Investigation into the Effect of Infarction on Clinical Human Electrophysiology Biomarkers.
Proceedings of the Computing in Cardiology, CinC 2014, 2014

Studying the Role of Lipid Rafts on Protein Receptor Bindings with Cellular Automata.
IEEE ACM Trans. Comput. Biol. Bioinform., 2013

A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations.
J. Comput. Appl. Math., 2013

Strong first order S-ROCK methods for stochastic differential equations.
J. Comput. Appl. Math., 2013

Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings.
Proceedings of the Functional Imaging and Modeling of the Heart, 2013

Effect of Fibre Orientation Optimisation in an Electromechanical Model of Left Ventricular Contraction in Rat.
Proceedings of the Functional Imaging and Modeling of the Heart, 2013

Population of Human Ventricular Cell Models Calibrated with in vivo Measurements unravels Ionic Mechanisms of Cardiac Alternans.
Proceedings of the Computing in Cardiology, 2013

Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Computing on GPU with CUDA and ELLPACK-R Sparse Format.
IEEE ACM Trans. Comput. Biol. Bioinform., 2012

An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations.
SIAM J. Sci. Comput., 2012

Weak second order S-ROCK methods for Stratonovich stochastic differential equations.
J. Comput. Appl. Math., 2012

Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise.
J. Comput. Appl. Math., 2012

Numerical methods and analysis for a class of fractional advection-dispersion models.
Comput. Math. Appl., 2012

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain.
Comput. Math. Appl., 2012

A higher-order numerical framework for stochastic simulation of chemical reaction systems.
BMC Syst. Biol., 2012

A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D.
Appl. Math. Comput., 2012

Bayes-Optimal Chemotaxis.
Neural Comput., 2011

Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations.
J. Comput. Appl. Math., 2011

Numerical analysis for a variable-order nonlinear cable equation.
J. Comput. Appl. Math., 2011

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems.
Comput. Math. Appl., 2011

Comparison of continuous and discrete stochastic ion channel models.
Proceedings of the 33rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2011

Stochastic models and simulation of ion channel dynamics.
Proceedings of the International Conference on Computational Science, 2010

Stochastic Modeling of Naïve T Cell Homeostasis for Competing Clonotypes via the Master Equation.
Multiscale Model. Simul., 2010

A Bayesian Network Model of Proteins' Association with Promyelocytic Leukemia (PML) Nuclear Bodies.
J. Comput. Biol., 2010

Simulation methods with extended stability for stiff biochemical Kinetics.
BMC Syst. Biol., 2010

Probability distributed time delays: integrating spatial effects into temporal models.
BMC Syst. Biol., 2010

Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations.
SIAM J. Numer. Anal., 2009

Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade.
Numer. Algorithms, 2009

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term.
J. Comput. Appl. Math., 2009

Opportunistic timing and manipulation in Australian Federal Elections.
Eur. J. Oper. Res., 2009

Fast generalized cross validation using Krylov subspace methods.
Numer. Algorithms, 2008

Multiscale Modeling of Chemical Kinetics via the Master Equation.
Multiscale Model. Simul., 2008

Stochastic simulation of chemical reactions in spatially complex media.
Comput. Math. Appl., 2008

'Extremotaxis': Computing with a bacterial-inspired algorithm.
Biosyst., 2008

Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation.
Appl. Math. Comput., 2008

Inexact Uniformization Method for Computing Transient Distributions of Markov Chains.
SIAM J. Sci. Comput., 2007

Numerical Methods for Second-Order Stochastic Differential Equations.
SIAM J. Sci. Comput., 2007

Simulated maximum likelihood method for estimating kinetic rates in gene expression.
Bioinform., 2007

Predicting disulfide connectivity from protein sequence using multiple sequence feature vectors and secondary structure.
Bioinform., 2007

Modelling and simulation techniques for membrane biology.
Briefings Bioinform., 2007

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation.
Appl. Math. Comput., 2007

Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes.
Proceedings of the Computational Science, 2007

Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation.
PLoS Comput. Biol., 2006

Prediction of <i>cis</i>/<i>trans </i>isomerization in proteins using PSI-BLAST profiles and secondary structure information.
BMC Bioinform., 2006

Predicting residue-wise contact orders in proteins by support vector regression.
BMC Bioinform., 2006

Advanced computing for systems biology.
Briefings Bioinform., 2006

The Undirected Feedback Vertex Set Problem Has a Poly(<i>k</i>) Kernel.
Proceedings of the Parameterized and Exact Computation, Second International Workshop, 2006

Evolving Noisy Oscillatory Dynamics in Genetic Regulatory Networks.
Proceedings of the Genetic Programming, 9th European Conference, 2006

QRT: A QR-Based Tridiagonalization Algorithm for Nonsymmetric Matrices.
SIAM J. Matrix Anal. Appl., 2005

A Mathematical Model for Genetic Regulation of the Lactose Operon.
Proceedings of the Computational Science and Its Applications, 2005

Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
Math. Comput. Simul., 2004

Constructing the hallucinations of psychosis in Virtual Reality.
J. Netw. Comput. Appl., 2004

A genetic estimation algorithm for parameters of stochastic ordinary differential equations.
Comput. Stat. Data Anal., 2004

Stochastic approaches for modelling in vivo reactions.
Comput. Biol. Chem., 2004

A virtual environment to re-create the auditory and visual hallucinations of psychosis.
Proceedings of the Proceedings VRCAI 2004, 2004

A Variable Stepsize Implementation for Stochastic Differential Equations.
SIAM J. Sci. Comput., 2003

An Augmented Lanczos Algorithm for the Efficient Computation of a Dot-Product of a Function of a Large Sparse Symmetric Matrix.
Proceedings of the Computational Science - ICCS 2003, 2003

A Virtual Environment to Simulate the Experience of Psychosis.
Proceedings of the Seventh International Conference on Digital Image Computing: Techniques and Applications, 2003

Stochastic neural network models for gene regulatory networks.
Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2003, 8, 2003

Predictor-Corrector Methods of Runge-Kutta Type for Stochastic Differential Equations.
SIAM J. Numer. Anal., 2002

New Multivalue Methods for Differential Algebraic Equations.
Numer. Algorithms, 2002

Derivation of L-system Models from Measurements of Biological Branching Structures Using Genetic Algorithms.
Proceedings of the Developments in Applied Artificial Intelligence, 2002

Order Conditions of Stochastic Runge-Kutta Methods by <i>B</i>-Series.
SIAM J. Numer. Anal., 2000

Parallel iterated methods based on variable step-size multistep Runge - Kutta methods of Radau type for stiff problems.
Adv. Comput. Math., 2000

A parallel finite element surface fitting algorithm for data mining.
Proceedings of the Parallel Computing: Fundamentals & Applications, 1999

A Jacobi Waveform Relaxation Method for ODEs.
SIAM J. Sci. Comput., 1998

A Deflation Technique for Linear Systems of Equations.
SIAM J. Sci. Comput., 1998

On the performance of various adaptive preconditioned GMRES strategies.
Numer. Linear Algebra Appl., 1998

Optimizing simulation models of agricultural systems.
Ann. Oper. Res., 1998

Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems.
Adv. Comput. Math., 1997

Parallel iterated methods based on multistep Runge-Kutta methods of Radau type.
Adv. Comput. Math., 1997

Parallel methods for ODEs.
Adv. Comput. Math., 1997

Parallel Methods for Systems of Ordinary Differential Equations.
Proceedings of the Applications on Advanced Architecture Computers, 1996

Surface Fitting Using GCV Smoothing Splines on Supercomputers.
Proceedings of the Proceedings Supercomputing '95, San Diego, CA, USA, December 4-8, 1995, 1995

Parallel and sequential methods for ordinary differential equations.
Numerical analysis and scientific computation, Oxford University Press, ISBN: 978-0-19-853432-7, 1995

A New Image Enhancement Algorithm on MasPar and Parallel Virtual Machine (PVM) Environments.
Proceedings of the Massively Parallel Processing Applications and Develompent, 1994

ADVISE - Agricultural Developmental Visualisation Interactive Software Environment.
Proceedings of the Parallel Processing: CONPAR 94, 1994

Drought Monitoring through Parallel Computing.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

An adaptive numerical integration code for a chain of transputers.
Parallel Comput., 1990

A study of B-convergence of Runge-Kutta methods.
Computing, 1986