Kevin Burrage

Blanca Rodríguez

Medical Image Anal., 2024

Cardiac Digital Twin Pipeline for Virtual Therapy Evaluation.

[BibT_eX]

[DOI]

CoRR, 2024

Discovering Biochemical Reaction Models by Evolving Libraries.

[BibT_eX]

[DOI]

Justin Noah Kreikemeyer

Adelinde M. Uhrmacher

Proceedings of the Computational Methods in Systems Biology, 2024

Open Source Cardiac Digital Twinning of Human Ventricular Repolarisation from 12-Lead ECG and MRI.

[BibT_eX]

[DOI]

Proceedings of the Artificial Intelligence Research and Development, 2024

2023

Split S-ROCK Methods for High-Dimensional Stochastic Differential Equations.

[BibT_eX]

[DOI]

J. Sci. Comput., December, 2023

Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral.

[BibT_eX]

[DOI]

Guoguo Yang

SIAM J. Numer. Anal., August, 2023

The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects.

[BibT_eX]

[DOI]

J. Comput. Phys., May, 2023

Complex-order fractional diffusion in reaction-diffusion systems.

[BibT_eX]

[DOI]

Alfonso Bueno-Orovio

Shamika Kekulthotuwage Don

Commun. Nonlinear Sci. Numer. Simul., May, 2023

Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size.

[BibT_eX]

[DOI]

Kate J. Helmstedt

Axioms, April, 2023

Homogenisation for the monodomain model in the presence of microscopic fibrotic structures.

[BibT_eX]

[DOI]

Brodie A. J. Lawson

Commun. Nonlinear Sci. Numer. Simul., 2023

2022

Effective numerical methods for simulating diffusion on a spherical surface in three dimensions.

[BibT_eX]

[DOI]

Grant Lythe

Numer. Algorithms, 2022

Graph-based homogenisation for modelling cardiac fibrosis.

[BibT_eX]

[DOI]

Megan E. Farquhar

Alfonso Bueno-Orovio

Brodie A. J. Lawson

J. Comput. Phys., 2022

Inference of Number and Location of Purkinje Root Nodes and Ventricular Conduction Properties from Clinical 12-Lead ECGs for Cardiac Digital Twinning.

[BibT_eX]

[DOI]

Blanca Rodríguez

Proceedings of the Computing in Cardiology, 2022

2021

Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2021

A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations.

[BibT_eX]

[DOI]

Numer. Algorithms, 2021

Inference of ventricular activation properties from non-invasive electrocardiography.

[BibT_eX]

[DOI]

Julià Camps

Brodie Lawson

Christopher C. Drovandi

Medical Image Anal., 2021

An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2021

The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2021

Robust Graph-Based Upscaling of Microscale Fibrotic Structures.

[BibT_eX]

[DOI]

Megan E. Farquhar

Brodie A. J. Lawson

Proceedings of the Computing in Cardiology, CinC 2021, Brno, 2021

Inference of Ventricular Activation Properties from Twelve-lead Electrocardiogram.

[BibT_eX]

[DOI]

Julià Camps

Brodie Lawson

Christopher C. Drovandi

Proceedings of the Computing in Cardiology, CinC 2021, Brno, 2021

2020

An improved firefly algorithm for global continuous optimization problems.

[BibT_eX]

[DOI]

Expert Syst. Appl., 2020

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

[BibT_eX]

[DOI]

Discret. Math., 2020

2019

Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations.

[BibT_eX]

[DOI]

George Em Karniadakis

SIAM J. Sci. Comput., 2019

A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2019

A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2019

S-ROCK methods for stochastic delay differential equations with one fixed delay.

[BibT_eX]

[DOI]

Alexey S. Eremin

J. Comput. Appl. Math., 2019

2018

A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations.

[BibT_eX]

[DOI]

Fanhai Zeng

Ian W. Turner

George E. Karniadakis

SIAM J. Sci. Comput., 2018

Novel analytical and numerical techniques for fractional temporal SEIR measles model.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators.

[BibT_eX]

[DOI]

Fanhai Zeng

Ian W. Turner

J. Sci. Comput., 2018

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

[BibT_eX]

[DOI]

Axioms, 2018

2017

Weak Second Order Explicit Exponential Runge-Kutta Methods for Stochastic Differential Equations.

[BibT_eX]

[DOI]

David Cohen

SIAM J. Sci. Comput., 2017

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging.

[BibT_eX]

[DOI]

Alfonso Bueno-Orovio

Commun. Nonlinear Sci. Numer. Simul., 2017

Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue.

[BibT_eX]

[DOI]

Proceedings of the Computing in Cardiology, 2017

2016

Anomalous Diffusion in Cardiac Tissue as an Index of Myocardial Microstructure.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2016

Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

Virtual reality for conservation.

[BibT_eX]

[DOI]

Proceedings of the 21st International Conference on Web3D Technology, 2016

Preface.

[BibT_eX]

[DOI]

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

2015

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

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Computational Science, 2015

2014

A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Stochastic Dynamics of Interacting Haematopoietic Stem Cell Niche Lineages.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2014

Preface.

[BibT_eX]

[DOI]

Chus Sanz-Serna

Zdzislaw Jackiewicz

Numer. Algorithms, 2014

Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise.

[BibT_eX]

[DOI]

Numer. Algorithms, 2014

Numerical simulation of the fractional Bloch equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media.

[BibT_eX]

[DOI]

Shiping Chen

Comput. Math. Appl., 2014

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media.

[BibT_eX]

[DOI]

Shanzhen Chen

Comput. Math. Appl., 2014

Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method.

[BibT_eX]

[DOI]

Tamás Székely

Konstantinos C. Zygalakis

Manuel Barrio

BMC Syst. Biol., 2014

A Computational Investigation into the Effect of Infarction on Clinical Human Electrophysiology Biomarkers.

[BibT_eX]

[DOI]

Erica Dall' Armellina

Blanca Rodríguez

Proceedings of the Computing in Cardiology, CinC 2014, 2014

2013

Studying the Role of Lipid Rafts on Protein Receptor Bindings with Cellular Automata.

[BibT_eX]

[DOI]

Fiete Haack

Ronald Redmer

Adelinde M. Uhrmacher

IEEE ACM Trans. Comput. Biol. Bioinform., 2013

A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations.

[BibT_eX]

[DOI]

Yuanling Niu

Chengjian Zhang

J. Comput. Appl. Math., 2013

Strong first order S-ROCK methods for stochastic differential equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2013

Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Proceedings of the Computing in Cardiology, 2013

2012

Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Computing on GPU with CUDA and ELLPACK-R Sparse Format.

[BibT_eX]

[DOI]

Alhadi Bustamam

Nicholas A. Hamilton

IEEE ACM Trans. Comput. Biol. Bioinform., 2012

An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations.

[BibT_eX]

[DOI]

Nicholas Hale

David Kay

SIAM J. Sci. Comput., 2012

Weak second order S-ROCK methods for Stratonovich stochastic differential equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

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

[BibT_eX]

[DOI]

Pinghui Zhuang

Comput. Math. Appl., 2012

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

[BibT_eX]

[DOI]

Comput. Math. Appl., 2012

A higher-order numerical framework for stochastic simulation of chemical reaction systems.

[BibT_eX]

[DOI]

Tamás Székely

Konstantinos C. Zygalakis

Radek Erban

BMC Syst. Biol., 2012

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

2011

Bayes-Optimal Chemotaxis.

[BibT_eX]

[DOI]

Neural Comput., 2011

Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

Numerical analysis for a variable-order nonlinear cable equation.

[BibT_eX]

[DOI]

Chang-Ming Chen

J. Comput. Appl. Math., 2011

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2011

Comparison of continuous and discrete stochastic ion channel models.

[BibT_eX]

[DOI]

Ciara Ellen Dangerfield

David Kay

Proceedings of the 33rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2011

2010

Stochastic models and simulation of ion channel dynamics.

[BibT_eX]

[DOI]

C. E. Dangerfield

David Kay

Proceedings of the International Conference on Computational Science, 2010

Stochastic Modeling of Naïve T Cell Homeostasis for Competing Clonotypes via the Master Equation.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2010

A Bayesian Network Model of Proteins' Association with Promyelocytic Leukemia (PML) Nuclear Bodies.

[BibT_eX]

[DOI]

J. Comput. Biol., 2010

Simulation methods with extended stability for stiff biochemical Kinetics.

[BibT_eX]

[DOI]

Pau Rué

Jordi Villà-Freixa

BMC Syst. Biol., 2010

Probability distributed time delays: integrating spatial effects into temporal models.

[BibT_eX]

[DOI]

Tatiana T. Marquez-Lago

André Leier

BMC Syst. Biol., 2010

2009

Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations.

[BibT_eX]

[DOI]

Grant Lythe

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.

[BibT_eX]

[DOI]

Numer. Algorithms, 2009

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

[BibT_eX]

[DOI]

C. Yang

J. Comput. Appl. Math., 2009

Opportunistic timing and manipulation in Australian Federal Elections.

[BibT_eX]

[DOI]

Dharma Lesmono

Elliot Tonkes

Eur. J. Oper. Res., 2009

2008

Fast generalized cross validation using Krylov subspace methods.

[BibT_eX]

[DOI]

Alan B. Williams

Numer. Algorithms, 2008

Multiscale Modeling of Chemical Kinetics via the Master Equation.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2008

Stochastic simulation of chemical reactions in spatially complex media.

[BibT_eX]

[DOI]

Dan V. Nicolau Jr.

Comput. Math. Appl., 2008

'Extremotaxis': Computing with a bacterial-inspired algorithm.

[BibT_eX]

[DOI]

Biosyst., 2008

Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation.

[BibT_eX]

[DOI]

Chang-Ming Chen

Appl. Math. Comput., 2008

2007

Inexact Uniformization Method for Computing Transient Distributions of Markov Chains.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

Numerical Methods for Second-Order Stochastic Differential Equations.

[BibT_eX]

[DOI]

Ian Lenane

Grant Lythe

SIAM J. Sci. Comput., 2007

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

[BibT_eX]

[DOI]

Bioinform., 2007

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

[BibT_eX]

[DOI]

Bioinform., 2007

Modelling and simulation techniques for membrane biology.

[BibT_eX]

[DOI]

Briefings Bioinform., 2007

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2007

Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes.

[BibT_eX]

[DOI]

André Leier

Proceedings of the Computational Science, 2007

2006

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

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2006

Prediction of cis/trans isomerization in proteins using PSI-BLAST profiles and secondary structure information.

[BibT_eX]

[DOI]

BMC Bioinform., 2006

Predicting residue-wise contact orders in proteins by support vector regression.

[BibT_eX]

[DOI]

Jiangning Song

BMC Bioinform., 2006

Advanced computing for systems biology.

[BibT_eX]

[DOI]

Lindsay Hood

Mark A. Ragan

Briefings Bioinform., 2006

Accelerated Leap Methods for Simulating Discrete Stochastic Chemical Kinetics.

[BibT_eX]

[DOI]

Shev Mac

Proceedings of the Positive Systems, 2006

The Undirected Feedback Vertex Set Problem Has a Poly(k) Kernel.

[BibT_eX]

[DOI]

Vladimir Estivill-Castro

Proceedings of the Parameterized and Exact Computation, Second International Workshop, 2006

Evolving Noisy Oscillatory Dynamics in Genetic Regulatory Networks.

[BibT_eX]

[DOI]

Proceedings of the Genetic Programming, 9th European Conference, 2006

2005

QRT: A QR-Based Tridiagonalization Algorithm for Nonsymmetric Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

A Mathematical Model for Genetic Regulation of the Lactose Operon.

[BibT_eX]

[DOI]

Proceedings of the Computational Science and Its Applications, 2005

2004

Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.

[BibT_eX]

[DOI]

Margherita Carletti

Math. Comput. Simul., 2004

Constructing the hallucinations of psychosis in Virtual Reality.

[BibT_eX]

[DOI]

J. Netw. Comput. Appl., 2004

A genetic estimation algorithm for parameters of stochastic ordinary differential equations.

[BibT_eX]

[DOI]

Jamie Alcock

Comput. Stat. Data Anal., 2004

Stochastic approaches for modelling in vivo reactions.

[BibT_eX]

[DOI]

Thomas E. Turner

Santiago Schnell

Comput. Biol. Chem., 2004

A virtual environment to re-create the auditory and visual hallucinations of psychosis.

[BibT_eX]

[DOI]

Proceedings of the Proceedings VRCAI 2004, 2004

2003

A Variable Stepsize Implementation for Stochastic Differential Equations.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Bernard Philippe

Proceedings of the Computational Science - ICCS 2003, 2003

A Virtual Environment to Simulate the Experience of Psychosis.

[BibT_eX]

[DOI]

Proceedings of the Seventh International Conference on Digital Image Computing: Techniques and Applications, 2003

Stochastic neural network models for gene regulatory networks.

[BibT_eX]

[DOI]

Proceedings of the IEEE Congress on Evolutionary Computation, 2003

2002

Predictor-Corrector Methods of Runge-Kutta Type for Stochastic Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

New Multivalue Methods for Differential Algebraic Equations.

[BibT_eX]

[DOI]

Minnie Kerr

Numer. Algorithms, 2002

Derivation of L-system Models from Measurements of Biological Branching Structures Using Genetic Algorithms.

[BibT_eX]

[DOI]

Proceedings of the Developments in Applied Artificial Intelligence, 2002

2000

Order Conditions of Stochastic Runge-Kutta Methods by B-Series.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2000

Parallel iterated methods based on variable step-size multistep Runge - Kutta methods of Radau type for stiff problems.

[BibT_eX]

[DOI]

Heru Suhartanto

Adv. Comput. Math., 2000

1999

A parallel finite element surface fitting algorithm for data mining.

[BibT_eX]

Proceedings of the Parallel Computing: Fundamentals & Applications, 1999

1998

A Jacobi Waveform Relaxation Method for ODEs.

[BibT_eX]

[DOI]

Jørgen Sand

SIAM J. Sci. Comput., 1998

A Deflation Technique for Linear Systems of Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1998

On the performance of various adaptive preconditioned GMRES strategies.

[BibT_eX]

[DOI]

Jocelyne Erhel

Numer. Linear Algebra Appl., 1998

Optimizing simulation models of agricultural systems.

[BibT_eX]

[DOI]

D. G. Mayer

John A. Belward

Ann. Oper. Res., 1998

1997

Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems.

[BibT_eX]

[DOI]

Heru Suhartanto

Adv. Comput. Math., 1997

Parallel iterated methods based on multistep Runge-Kutta methods of Radau type.

[BibT_eX]

[DOI]

Heru Suhartanto

Adv. Comput. Math., 1997

Parallel methods for ODEs.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1997

1996

Parallel Methods for Systems of Ordinary Differential Equations.

[BibT_eX]

[DOI]

Proceedings of the Applications on Advanced Architecture Computers, 1996

1995

Surface Fitting Using GCV Smoothing Splines on Supercomputers.

[BibT_eX]

[DOI]

Alan Williams

Proceedings of the Proceedings Supercomputing '95, San Diego, CA, USA, December 4-8, 1995, 1995

Parallel and sequential methods for ordinary differential equations.

[BibT_eX]

Numerical analysis and scientific computation, Oxford University Press, ISBN: 978-0-19-853432-7, 1995

1994

A New Image Enhancement Algorithm on MasPar and Parallel Virtual Machine (PVM) Environments.

[BibT_eX]

Proceedings of the Massively Parallel Processing Applications and Develompent, 1994

ADVISE - Agricultural Developmental Visualisation Interactive Software Environment.

[BibT_eX]

[DOI]

Proceedings of the Parallel Processing: CONPAR 94, 1994

1993

Drought Monitoring through Parallel Computing.

[BibT_eX]

Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1990

An adaptive numerical integration code for a chain of transputers.

[BibT_eX]

[DOI]

Parallel Comput., 1990

1989

The dichotomy of stiffness: pragmatism versus theory.

[BibT_eX]

[DOI]

Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989, 1989

1986

A study of B-convergence of Runge-Kutta methods.

[BibT_eX]

[DOI]