Kevin Burrage

Q: What Schools Are Affiliated With Kevin Burrage

Kevin Burrage is affiliated with the following schools: Queensland University of Technology, University of Queensland, University of Oxford, University of Salerno, University of Auckland

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Kevin Burrage

Mathematics

#6098

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#8507

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Measure Theory

#1125

World Rank

#1441

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Mathematics

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Kevin Burrage's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation (2007) (498)
Parallel and sequential methods for ordinary differential equations (1995) (348)
Binomial leap methods for simulating stochastic chemical kinetics. (2004) (344)
Stochastic approaches for modelling in vivo reactions (2004) (328)
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation (2014) (302)
Fourier spectral methods for fractional-in-space reaction-diffusion equations (2014) (301)
Stability Criteria for Implicit Runge–Kutta Methods (1979) (285)
Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation (2006) (268)
Stochastic models for regulatory networks of the genetic toggle switch. (2006) (246)
ISIS, the intron information system, reveals the high frequency of alternative splicing in the human genome (2000) (228)
Restarted GMRES preconditioned by deflation (1996) (217)
Non-linear stability of a general class of differential equation methods (1980) (212)
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term (2009) (199)
An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations (2012) (197)
A new fractional finite volume method for solving the fractional diffusion equation (2014) (197)
Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization (2014) (196)
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations (1996) (190)
Numerical methods and analysis for a class of fractional advection-dispersion models (2012) (183)
Numerical methods for strong solutions of stochastic differential equations: an overview (2004) (181)
Identifying Optimal Lipid Raft Characteristics Required To Promote Nanoscale Protein-Protein Interactions on the Plasma Membrane (2006) (179)
Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain (2012) (166)
A special family of Runge-Kutta methods for solving stiff differential equations (1978) (164)
Stochastic delay differential equations for genetic regulatory networks (2007) (161)
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation (2008) (159)
Order Conditions of Stochastic Runge-Kutta Methods by B-Series (2000) (153)
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain (2012) (146)
Sources of anomalous diffusion on cell membranes: a Monte Carlo study. (2007) (134)
A multi-scaled approach for simulating chemical reaction systems. (2004) (130)
Numerical Methods for Second-Order Stochastic Differential Equations (2007) (130)
Variability in cardiac electrophysiology: Using experimentally-calibrated populations of models to move beyond the single virtual physiological human paradigm (2016) (129)
Prediction of protein solvent accessibility using support vector machines (2002) (122)
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain (2015) (122)
Multiscale Modeling of Chemical Kinetics via the Master Equation (2008) (118)
Stochastic chemical kinetics and the total quasi-steady-state assumption: application to the stochastic simulation algorithm and chemical master equation. (2008) (112)
Simulated maximum likelihood method for estimating kinetic rates in gene expression (2007) (110)
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems (2011) (110)
A Bayesian model predicts the response of axons to molecular gradients (2009) (109)
A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems (2006) (108)
A multiscale investigation of repolarization variability and its role in cardiac arrhythmogenesis. (2011) (105)
Numerical solutions of stochastic differential equations – implementation and stability issues (2000) (105)
Bridging experiments, models and simulations: an integrative approach to validation in computational cardiac electrophysiology. (2012) (100)
Bistability and switching in the lysis/lysogeny genetic regulatory network of bacteriophage lambda. (2004) (96)
Binomial tau-leap spatial stochastic simulation algorithm for applications in chemical kinetics. (2007) (95)
Implicit Taylor methods for stiff stochastic differential equations (2001) (93)
Stochastic simulation in systems biology (2014) (93)
Prediction of cis/trans isomerization in proteins using PSI-BLAST profiles and secondary structure information (2006) (90)
Protein contact prediction using patterns of correlation (2004) (87)
Determination of Somatic and Cancer Stem Cell Self-Renewing Symmetric Division Rate Using Sphere Assays (2011) (86)
Inferring diffusion in single live cells at the single-molecule level (2012) (85)
On the performance of various adaptive preconditioned GMRES strategies (1998) (84)
An implementation of singly-implicit Runge-Kutta methods (1980) (83)
An improved firefly algorithm for global continuous optimization problems (2020) (77)
A Variable Stepsize Implementation for Stochastic Differential Equations (2002) (77)
Parallel methods for initial value problems (1993) (77)
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators (2017) (72)
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media (2014) (71)
The Systems Biology Approach to Drug Development: Application to Toxicity Assessment of Cardiac Drugs (2010) (71)
Predicting disulfide connectivity from protein sequence using multiple sequence feature vectors and secondary structure (2007) (70)
In Vivo and In Silico Investigation Into Mechanisms of Frequency Dependence of Repolarization Alternans in Human Ventricular Cardiomyocytes (2016) (69)
Using complex network metrics to predict the persistence of metapopulations with asymmetric connectivity patterns (2008) (69)
mRNA Expression Levels in Failing Human Hearts Predict Cellular Electrophysiological Remodeling: A Population-Based Simulation Study (2013) (68)
General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems (1998) (65)
A note on the Balanced method (2006) (64)
The Undirected Feedback Vertex Set Problem Has a Poly(k) Kernel (2006) (63)
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling (2004) (63)
Predicting residue-wise contact orders in proteins by support vector regression (2006) (60)
Inexact Uniformization Method for Computing Transient Distributions of Markov Chains (2007) (59)
Stochastic neural network models for gene regulatory networks (2003) (58)
Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation. (2010) (58)
Unlocking data sets by calibrating populations of models to data density: A study in atrial electrophysiology (2017) (58)
Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Computing on GPU with CUDA and ELLPACK-R Sparse Format (2012) (57)
Generalized binomial tau-leap method for biochemical kinetics incorporating both delay and intrinsic noise. (2008) (56)
High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula (1999) (54)
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise (2012) (53)
Two-stage and Three-stage Diagonally Implicit Runge-Kutta Nyström Methods of Orders Three and Four (1990) (51)
Stochastic Simulation for Spatial Modelling of Dynamic Processes in a Living Cell (2011) (51)
Numerical solution of time fractional diffusion systems (2017) (50)
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients (2016) (50)
Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term (2013) (49)
The composite Euler method for stiff stochastic differential equations (2001) (49)
Modeling ion channel dynamics through reflected stochastic differential equations. (2012) (49)
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D (2012) (47)
On order reduction for Runge-Kutta methods applies to differential algebraic systems and to stiff systems of ODEs (1990) (47)
Use of advanced techniques to optimize a multi-dimensional dairy model (1996) (46)
Adaptive stepsize based on control theory for stochastic differential equations (2004) (46)
Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D (2013) (46)
Efficiently Implementable Algebraically Stable Runge–Kutta Methods (1982) (44)
Anomalous diffusion and multifractional Brownian motion: simulating molecular crowding and physical obstacles in systems biology. (2012) (44)
Efficient block predictor-corrector methods with a small number of corrections (1993) (43)
Modelling and simulation techniques for membrane biology (2007) (42)
Implicit Stochastic Runge–Kutta Methods for Stochastic Differential Equations (2004) (42)
On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology (2015) (42)
Oscillatory Regulation of Hes 1 : Discrete Stochastic Delay Modelling and Simulation (2006) (41)
Robust parameter settings of evolutionary algorithms for the optimisation of agricultural systems models (2001) (41)
The use of a Riesz fractional differential-based approach for texture enhancement in image processing (2013) (40)
A note on the stability properties of the Euler methods for solving stochastic differential equations (2000) (39)
Order results for mono-implicit Runge-Kutta methods (1994) (39)
Adams-Type Methods for the Numerical Solution of Stochastic Ordinary Differential Equations (2000) (38)
Numerical simulation for the three-dimension fractional sub-diffusion equation☆ (2014) (37)
Numerical analysis for a variable-order nonlinear cable equation (2011) (37)
Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation (2013) (37)
Order Properties of Implicit Multivalue Methods for Ordinary Differential Equations (1988) (36)
A numerical method for the fractional Fitzhugh–Nagumo monodomain model (2013) (36)
Survival of the fittest - genetic algorithms versus evolution strategies in the optimization of systems models (1999) (36)
Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative (2012) (36)
Identifiability analysis for stochastic differential equation models in systems biology (2020) (35)
Preconditioning waveform relaxation iterations for differential systems (1996) (35)
From ionic to cellular variability in human atrial myocytes: an integrative computational and experimental study (2017) (35)
Parallel methods for ODEs (1997) (34)
A Jacobi Waveform Relaxation Method for ODEs (1998) (34)
Population of Computational Rabbit-Specific Ventricular Action Potential Models for Investigating Sources of Variability in Cellular Repolarisation (2014) (34)
High order algebraically stable Runge-Kutta methods (1978) (34)
A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations (1994) (33)
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise (2014) (33)
Numerical simulation of the fractional Bloch equations (2014) (33)
Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations (2009) (32)
Two-Stage Stochastic Runge-Kutta Methods for Stochastic Differential Equations (2002) (32)
Support vector regression with asymmetric loss for optimal electric load forecasting (2021) (32)
Using the canonical modelling approach to simplify the simulation of function in functional-structural plant models. (2005) (31)
A four-stage index 2 diagonally implicit Runge-Kutta method (2002) (31)
Poisson Runge-Kutta methods for chemical reaction systems (2004) (31)
Predictor-Corrector Methods of Runge-Kutta Type for Stochastic Differential Equations (2002) (31)
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary (2017) (31)
Advanced computing for systems biology (2006) (30)
Anomalous Diffusion in Cardiac Tissue as an Index of Myocardial Microstructure (2016) (29)
A study of B-convergence of Runge-Kutta methods (1986) (29)
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations (2018) (29)
Probability distributed time delays: integrating spatial effects into temporal models (2010) (28)
Quantitative Study of the Effect of Tissue Microstructure on Contraction in a Computational Model of Rat Left Ventricle (2014) (27)
High order algebraically stable multistep Runge-Kutta methods (1987) (26)
A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems (2014) (26)
On the performance of parallel waveform relaxations for differential systems (1996) (26)
Simulation methods with extended stability for stiff biochemical Kinetics (2010) (26)
Constructing the hallucinations of psychosis in Virtual Reality (2004) (26)
Comment on "Numerical methods for stochastic differential equations". (2006) (26)
A Deflation Technique for Linear Systems of Equations (1998) (25)
Simplifying assumptions for the order of partitioned multivalue methods (1980) (25)
A boundary preserving numerical algorithm for the Wright-Fisher model with mutation (2012) (25)
Environmental factors in breast cancer invasion: a mathematical modelling review. (2017) (25)
Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling (2015) (24)
Derivation of L-system Models from Measurements of Biological Branching Structures Using Genetic Algorithms (2002) (24)
Parallel implementation of stochastic simulation for large-scale cellular processes (2005) (24)
Evolving Noisy Oscillatory Dynamics in Genetic Regulatory Networks (2006) (24)
Rabbit-specific computational modelling of ventricular cell electrophysiology: Using populations of models to explore variability in the response to ischemia (2016) (23)
Parallel iterated methods based on multistep Runge-Kutta methods of Radau type (1997) (23)
A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations (1997) (23)
Quantitative analysis of tumour spheroid structure (2021) (23)
Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions (2011) (23)
Strong first order S-ROCK methods for stochastic differential equations (2013) (22)
Optimizing simulation models of agricultural systems (1998) (22)
Stochastic models and simulation of ion channel dynamics (2010) (22)
Bayes-Optimal Chemotaxis (2011) (22)
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations (2018) (22)
Weak second order S-ROCK methods for Stratonovich stochastic differential equations (2012) (21)
Some novel techniques of parameter estimation for dynamical models in biological systems (2013) (20)
XSOPHE, A computer simulation software suite for the analysis of electron paramagnetic resonance spectra (2001) (20)
Optimal control of acute myeloid leukaemia. (2019) (20)
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media (2021) (20)
The error behaviour of a general class of predictor-corrector methods (1991) (20)
Heterogeneous nanomechanical properties of type I collagen in longitudinal direction (2017) (20)
The search for the Holy Grail, or: predictor-corrector methods for solving ODEIVPs (1993) (19)
Tabu search not an optimal choice for models of agricultural systems (1998) (19)
Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations (2001) (19)
Stability and efficiency properties of implicit Runge-Kutta methods (1978) (18)
Weak Second Order Explicit Exponential Runge-Kutta Methods for Stochastic Differential Equations (2017) (17)
Sampling methods for exploring between-subject variability in cardiac electrophysiology experiments (2016) (17)
The African Institute for Mathematical Sciences (2007) (17)
Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions (2013) (17)
Stochastic simulation of chemical reactions in spatially complex media (2008) (16)
Globally simple Heffter arrays H(n;k) when k≡0, 3(mod4) (2020) (16)
Computer-intensive simulations for cellular models (2006) (16)
Persistence as an optimal hedging strategy (2019) (16)
Optimizing chemotaxis by measuring unbound–bound transitions (2010) (15)
Adsorption of Collagen-like Peptides onto Gold Nanosurfaces. (2019) (15)
A genetic estimation algorithm for parameters of stochastic ordinary differential equations (2004) (15)
Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal Array-based sampling (2017) (15)
The order ofB-convergence of algebraically stable Runge-Kutta methods (1987) (15)
Stochastic Dynamics of Interacting Haematopoietic Stem Cell Niche Lineages (2014) (15)
Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation (2008) (14)
Studying the Role of Lipid Rafts on Protein Receptor Bindings with Cellular Automata (2013) (14)
Steered molecular dynamics characterization of the elastic modulus and deformation mechanisms of single natural tropocollagen molecules. (2018) (14)
Investigating the Complex Arrhythmic Phenotype Caused by the Gain-of-Function Mutation KCNQ1-G229D (2019) (14)
Interaction of gold nanosurfaces/nanoparticles with collagen-like peptides. (2019) (14)
Mathematical Models of Cancer Cell Plasticity (2019) (14)
The performance of preconditioned waveform relaxation techniques for pseudospectral methods (1996) (14)
An early political election problem (2003) (13)
Implementing an ODE code on distributed memory computers (1994) (13)
Look before you leap: a confidence-based method for selecting species criticality while avoiding negative populations in τ-leaping. (2011) (13)
A Grid Implementation of Chemical Kinetic Simulation Methods in Genetic Regulation (2003) (13)
High-throughput cardiac science on the Grid (2010) (13)
Phenomenological modeling of cell-to-cell and beat-to-beat variability in isolated Guinea Pig ventricular myocytes (2010) (12)
Designing combination therapies using multiple optimal controls. (2020) (12)
Strong predictor-corrector approximation for stochastic delay differential equations (2015) (12)
Application of stochastic phenomenological modelling to cell-to-cell and beat-to-beat electrophysiological variability in cardiac tissue (2015) (12)
On smoothing and order reduction effects for implicit Runge-Kutta formulae (1993) (12)
Parallel Methods for Systems of Ordinary Differential Equations (1996) (12)
Inference of ventricular activation properties from non-invasive electrocardiography (2020) (12)
An efficient implementation of an implicit FEM scheme for fractional-in-space reaction-diffusion equations (2011) (12)
Construction of A -stable diagonally implicit multivalue methods (1989) (12)
RUNG-KUTTA METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS (1994) (12)
Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade (2009) (11)
On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique (2017) (11)
The order of B-convergence of algebraically stable Runge-Kutta methods (1986) (11)
The implementation of a Generalized Cross Validation algorithm using deflation techniques for linear systems (1995) (11)
A higher-order numerical framework for stochastic simulation of chemical reaction systems (2012) (11)
An adaptive numerical integration code for a chain of transputers (1990) (11)
Accuracy issues of Monte-Carlo methods for valuing American options (2003) (10)
Performance of genetic algorithms and simulated annealing in the economic optimization of a herd dynamics model (1999) (10)
Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development (2015) (10)
An efficient parallel implementation of Markov clustering algorithm for large-scale protein-protein interaction networks that uses MPI (2009) (10)
Fractional models for the migration of biological cells in complex spatial domains (2013) (10)
Slow Recovery of Excitability Increases Ventricular Fibrillation Risk as Identified by Emulation (2018) (10)
Stable strong order 1.0 schemes for solving stochastic ordinary differential equations (2012) (10)
Surface Fitting Using GCV Smoothing Splines on Supercomputers (1995) (10)
Modelling biochemical reaction systems by stochastic differential equations with reflection. (2016) (10)
A space-fractional-reaction-diffusion model for pattern formation in coral reefs (2018) (9)
'Extremotaxis': Computing with a bacterial-inspired algorithm (2008) (9)
Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems (1997) (9)
Effect of Fibre Orientation Optimisation in an Electromechanical Model of Left Ventricular Contraction in Rat (2013) (9)
A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable (2018) (9)
Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Graphics Processing Unit Computing (2010) (9)
Multi-scale approach for simulating time-delay biochemical reaction systems. (2015) (9)
An improved dynamic Finite State Projection algorithm for the numerical solution of the chemical master equation with applications (2007) (9)
Stochastic Modeling of Naïve T Cell Homeostasis for Competing Clonotypes via the Master Equation (2010) (8)
Analyzing Real‐Time Video Microscopy: The Dynamics and Geometry of Vesicles and Tubules in Endocytosis (2007) (8)
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations (2019) (8)
The Stability Properties of Singly-implicit General Linear Methods (1985) (8)
Isolating the impact of rock properties and operational settings on minerals processing performance: A data-driven approach (2018) (8)
Designing combination therapies using multiple optimal controls (2019) (8)
Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging (2017) (8)
Model systems in computational systems biology (2013) (8)
Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations (2011) (8)
Implementation and acceleration of optimal control for systems biology (2021) (8)
Perlin Noise Generation of Physiologically Realistic Patterns of Fibrosis (2019) (7)
Order and stability properties of explicit multivalue methods (1985) (7)
A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations (2021) (7)
Virtual reality for conservation (2016) (7)
The dichotomy of stiffness: pragmatism versus theory (1989) (7)
S-ROCK methods for stochastic delay differential equations with one fixed delay (2019) (7)
Estimates on the coverage of parameter space using populations of models (2014) (7)
Variability in electrophysiological properties and conducting obstacles controls re-entry risk in heterogeneous ischaemic tissue (2020) (7)
Spectral approximation of time windows in the solution of dissipative linear differential equations (2009) (7)
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing (2013) (6)
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations (2013) (6)
A review of stochastic and delay simulation approaches in both time and space in computational cell biology (2017) (6)
Accelerated leap methods for simulating discrete stochastic chemical kinetics (2006) (6)
A parallel finite element surface fitting algorithm for data mining (2000) (6)
Fast generalized cross validation using Krylov subspace methods (2008) (6)
Explicit Stochastic Runge‐Kutta Methods with Large Stability Regions (2010) (6)
Parallel iterated methods based on variable step‐size multistep Runge—Kutta methods of Radau type for stiff problems (2000) (6)
Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem (2015) (6)
A GPU Implementation of Fast Parallel Markov Clustering in Bioinformatics Using EllPACK-R Sparse Data Format (2010) (6)
Population of human ventricular cell models calibrated with in vivo measurements unravels ionic mechanisms of cardiac alternans (2013) (6)
A Bayesian Network Model of Proteins' Association with Promyelocytic Leukemia (PML) Nuclear Bodies (2010) (6)
Novel analytical and numerical techniques for fractional temporal SEIR measles model (2018) (6)
Effect of Hydroxylysine-O-glycosylation on the structure of type I collagen molecule: A computational study. (2020) (6)
Numerical methods for solving stochastic differential equations on parallel computers (2001) (6)
Parameter estimation for a phenomenological model of the cardiac action potential (2011) (6)
A Virtual Environment to Simulate the Experience of Psychosis (2003) (5)
NUMERICAL METHODS FOR SECOND-ORDER STOCHASTIC EQUATIONS (2005) (5)
New Multivalue Methods for Differential Algebraic Equations (2004) (5)
A new index 2 Runge-Kutta method for the simulation of batch and discontinuous processes (2000) (5)
A Mathematical Model for Genetic Regulation of the Lactose Operon (2005) (5)
Computational approaches for modeling intrinsic noise and delays in genetic regulatory networks (2010) (5)
Analysis of sloppiness in model simulations: Unveiling parameter uncertainty when mathematical models are fitted to data (2022) (5)
Computational modelling of cardiac ischaemia using a variable-order fractional Laplacian (2018) (5)
PARAMETER-UNIFORM FITTED OPERATOR B-SPLINE COLLOCATION METHOD FOR SELF-ADJOINT SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS (2008) (5)
Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method (2014) (5)
Convergence of the parallel chaotic waveform relaxation method for stiff systems (2003) (5)
Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations (2014) (4)
ADVISE - Agricultural Developmental Visualisation Interactive Software Environment (1994) (4)
Stochastic linear multistep methods for the simulation of chemical kinetics. (2015) (4)
Efficiently implementable multivalue methods for solving stiff ordinary differential equations (1989) (4)
Acceleration of Convergence of Static and Dynamic Iterations (2001) (4)
Forum for scientific method in biology: transcript (2009) (4)
Stability and Convergence of Implicit Numerical Methods for a Class of Fractional Advection-Dispersion Models (2011) (4)
Computer simulation of magnetic resonance spectra employing homotopy. (1998) (4)
Numerical methods and analysis for a class of fractionaladvection-dispersion models (2012) (4)
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems (2017) (4)
Application of the Strang splitting to the chemical master equation for simulating biochemical kinetics (2008) (4)
Parameter estimation for fractional dynamical models in biological systems (2010) (3)
A computational investigation into the effect of infarction on clinical human electrophysiology biomarkers (2014) (3)
A class of variable-step explicit Nordsieck multivalue methods (1994) (3)
Opportunistic timing and manipulation in Australian Federal Elections (2009) (3)
A parallel matrix-free implementation of a Runge-Kutta code (1999) (3)
Stochastic Methods for Ill-Posed Problems (2000) (3)
Non-linear stability of multivalue multiderivative methods (1980) (3)
Stochastic Modelling for Systems Biology by Darren J. Wilkinson (2006) (3)
XSophe=Sophe-XeprView - Bruker's Professional CW-EPR Simulation Suite (2000) (3)
On the Convergence of LMF-type Methods for SODEs (2004) (3)
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures (2020) (3)
Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes (2007) (3)
Block-Toeplitz preconditioning for static and dynamic linear systems (1998) (3)
Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal sampling: connections between Populations of Models and Experimental Designs (2015) (3)
A Stochastic Seasonal Model for Commodity Option Pricing (2003) (3)
An Augmented Lanczos Algorithm for the Efficient Computation of a Dot-Product of a Function of a Large Sparse Symmetric Matrix (2003) (2)
Dimethylsulfide dehydrogenase from rhodovulum sulfidophilum: EPR spectroscopy and biochemical analysis reveal its place in the DMSO reductase family of molybdenum enzymes (2001) (2)
Advanced computing for systems (2006) (2)
Analytical and numerical solutions of the space and time fractional bloch-torrey equation (2011) (2)
Exploring the parameter space of a rabbit ventricular action potential model to investigate the effect of variation on action potential and calcium transients (2010) (2)
Evolving genetic regulatory networks performing as stochastic switches (2006) (2)
Effective simulation techniques for biological systems (2004) (2)
QRT: A QR-Based Tridiagonalization Algorithm for Nonsymmetric Matrices (2005) (2)
Computing with motile bio-agents (2006) (2)
Modeling intrinsic noise and delays in chemical kinetics of coupled autoregulated oscillating cells (2008) (2)
Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model (2014) (2)
Comparison of continuous and discrete stochastic ion channel models (2011) (2)
A Continuous Time Model for Election Timing (2005) (2)
A Parallel Plasma Membrane Simulation (2009) (2)
Globally simple Heffter arrays $H(n;k)$ when $k\equiv 0,3\mod 4$ (2019) (2)
Xsophe, a computer simulation software suite for the analysis of CW EPR spectra. Application to the analysis of mono-, di- and tri-nitroxide EPR spectra (2001) (2)
Simulating diffusion in crowded environments with multifractional Brownian motion (2)
Stochastic analysis of the VEGF receptor response curve (2007) (2)
The Undirected Feedback Vertex Set Problem has Polynomial Kernel Size (2006) (2)
Parameter estimation and uncertainty quantification using information geometry (2021) (2)
Stochasticity in Action Potential duration Enhances Dispersion of Repolarisation at Fast Pacing Rates (2012) (2)
Parallel half-block methods for initial value problems (2000) (2)
Quantifying Importance of Repolarization Currents Underlying Physiological Variability in Rabbit Cellular Electrophysiology (2012) (2)
Parallelization of a finite element surface fitting algorithm for data mining (2000) (2)
(k,l)-algebraic stability of Runge-Kutta methods (1988) (2)
Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field (2017) (2)
Drought Monitoring through Parallel Computing (1993) (2)
Exploring synonymous codon usage preferences of disulfide-bonded and non-disulfide bonded cysteines in the E. coli genome. (2006) (2)
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects (2021) (1)
Mathematical modelling of gas production and compositional shift of a CSG field 1: Local model development (2015) (1)
Validation and models in computational biomedical sciences: Philosophy, science, engineering. (2017) (1)
A new fractional finite volume method for solving the two-sided space fractional diffusion equation with a variable coefficient (2012) (1)
Stochastic Regularization Method for Backward Cauchy Problem in Banach Spaces (2011) (1)
(k, l)-Algebraic Stability of Gauss Methods (1987) (1)
Stochastic delay models for molecular clocks and somite formation (2007) (1)
Dimension reduction for the emulation of cardiac electrophysiology models for single cells and tissue (2017) (1)
Preface: Special issue on evolutionary problems (2007) (1)
Graph-based homogenisation for modelling cardiac fibrosis (2022) (1)
XSOPHE: A computer simulation software suite for the analysis of EPR spectra (1990) (1)
A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations (2022) (1)
Stochastic Modelling of T Cell Homeostasis for Two Competing Clonotypes Via the Master Equation (2011) (1)
Linear models for endocytic transformations from live cell imaging (2011) (1)
57-03: How Can a Gain-of-Function Mutation in KCNQ1 Lead to Action Potential Prolongation? (2016) (1)
Impact of Multiple Ionic Changes in Arrhythmic Risk Biomarkers in Human Ventricular Electrophysiology (2012) (1)
Machine Learning Identification of Pro-arrhythmic Structures in Cardiac Fibrosis (2021) (1)
Xsophe, A computer simulation software suite (v 1.1) and its application to the analysis of EPR spectra from the molbydoenzyme dimethylsulfide dehydrogenase (2002) (1)
Adaptive stepsize implementations of implicit stochastic Runge Kutta methods with modified Wiener increment (2004) (1)
Simulation of cell movement through evolving environment: a fictitious domain approach (2012) (1)
Tian, T. and Burrage, K. (2005) Parallel implementation of stochastic simulation for large-scale cellular processes. In: Eighth International Conference on High-Performance Computing in Asia-Pacific Region, (2006) (1)
An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications (2007) (1)
Robust Graph-Based Upscaling of Microscale Fibrotic Structures (2021) (1)
Optimal control of acute myeloid leukaemia (2018) (1)
A parallel implementation of a deflation algorithm for systems of linear equations (1994) (1)
A note on the existence and uniqueness of a bounded mean-reverting process (2012) (1)
A canonical toolkit for modelling plant function (2004) (1)
Stochastic modelling and simulations for solute transport in porous media (2004) (1)
A New Image Enhancement Algorithm on MasPar and Parallel Virtual Machine (PVM) Environments (1994) (1)
An effective stepsize selection procedure for discrete simulation of biochemical reaction systems (2008) (1)
The development of integrated computing platform to improve user satisfaction and cost efficiency of in silico drug discovery activities (2014) (1)
Mathematical Modeling of T-Cell Receptor Triggering and Activation (2008) (1)
Inference of Ventricular Activation Properties from Twelve-lead Electrocardiogram (2021) (0)
Improved Learning Cycle Assessment of Stimulated Wells’ Performance through Advanced Mathematical Modeling (2022) (0)
Numerical analysis of systems of ordinary and stochastic differential equations. (Book Review) (1999) (0)
Wider Contours and Adaptive Contours (2017) (0)
Exponential Euler-Maruyama scheme for simulation of stiff biochemical reaction systems (2013) (0)
Ionic Mechanism for the Formation of Excitable Scroll Wave Filaments (2012) (0)
Modelling travelling waves in spatially constrained environment solutions (2006) (0)
Numerical simulation of a fractional mathematical model for epidermal wound healing (2012) (0)
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size (2023) (0)
Proceedings of AISB06: Adaptation in artificial and biological systems (2006) (0)
Stochastic Modelling of Gene Regulatory Mechanisms in PTEN Dynamics: Does Space Matter? (2014) (0)
Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels (2021) (0)
Probabilistic mathematical modelling to predict the red cell phenotyped donor panel size (2022) (0)
Integrative Cardiovascular Physiology and Pathophysiology From ionic to cellular variability in human atrial myocytes: an integrative computational and experimental study (2018) (0)
Innovative approaches to the design and teaching of a computational and simulation science major (2013) (0)
Modelling ion channel dynamics through reflected stochastic differential equations (2017) (0)
Administration of Defective Virus Inhibits Dengue Transmission into Mosquitoes (2019) (0)
Higher-order numerical methods for stochastic simulation ofchemical reaction systems (2011) (0)
Complex-order fractional diffusion in reaction-diffusion systems (2023) (0)
The Complex-Order Fractional Laplacian: Stable Operators, Spectral Methods, and Applications to Heterogeneous Media (2021) (0)
Two numerical methods for the space and time fractional Bloch-Torrey equation with a nonlinear source term in 2D (2012) (0)
Computer simulation of pulsed electron paramagnetic resonance spectra for a generalised spin hamiltonian and arbitrary pulse sequence (1999) (0)
Multistep Runge-Kutta Methods for solving DAEs (2007) (0)
Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term Research Article (2013) (0)
The Composite Euler Method for Sti Stochastic Di erentialEquationsKevin Burrage (2007) (0)
Invited Speakers (2002) (0)
Multi-dimensional linear stability analysis of S-ROCK methods for Itô stochastic differential equations (2012) (0)
Application of Homotopy in the Analysis of Magnetic Resonance Spectra (1997) (0)
Administration of defective virus via bang-bang optimal control inhibits dengue transmission (2019) (0)
Fourier spectral methods for fractional-in-space reaction-diffusion equations (2014) (0)
The Order of 8-Convergence of Algebraically Stable Runge-Kutta Methods (2007) (0)
Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions (2013) (0)
A Note On The Stability Properties Of The Euler MethodsFor Solving Stochastic Di erential EquationsKevin Burrage (1999) (0)
Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations (2014) (0)
CSSE-36 November 22 , 2010 A stochastic method for all seasons (2010) (0)
Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2 D Research (0)
Supplement: Eﬃcient Weak Second-order Stochastic Runge-Kutta Methods for Non-commutative Stochastic Diﬀerential Equations (2010) (0)
Parallel Markov Clustering for PPI networks using MPI 1 Parallel Markov Clustering for Large-scale Protein-Protein Interaction Networks using MPI (2008) (0)
Novel analytical and numerical techniques for fractional temporal SEIR measles model (2017) (0)
Computer simulation of ESR spectra using homotopy (1997) (0)
Preface (2014) (0)
N A ] 2 6 A pr 2 01 9 A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations (2019) (0)
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators (2018) (0)
Messenger RNA Expression Levels Predict Cellular Electrophysiologic Remodeling in Failing Human Hearts Using a Population-Based Simulation Study (2012) (0)
A mixed spectral method for time-fractional reaction-diffusion systems (2015) (0)
Two novel numerical methods for solving the two-dimensional fractional Fitzhugh-Nagumo-monodomain model (2012) (0)
ISIS - The Intron Database. A glimpse of Intron function (1999) (0)
Spectral Approximation of Time Windows in Waveform Relaxation (2008) (0)
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise (2013) (0)
A confidence-based method for selecting species criticality in τ-leaping Look before you leap : A confidence-based method for selecting species criticality whilst avoiding negative populations in τ-leaping (2011) (0)
Recent developments in mathematical and computational biomedicine (2020) (0)
A Numerical Solution to American Style Options on Commodities (2003) (0)
Higher order numerical simulation of stochastic chemical reaction systems (2011) (0)
A stochastic model of jaguar abundance in the Peruvian Amazon under climate variation scenarios (2020) (0)
Efficient computer simulation of pulsed electron paramagnetic resonance powder spectra (2000) (0)
Stability analysis of numerical methods using a linear test SDE with delay and non-delay in a diffusion term (2020) (0)
Alternating direction implicit numerical method for the space and time fractional Bloch-Torrey equation in 3-D (2012) (0)
A Krylov-based FSP algorithm for solving the chemical master equation arising in the discrete modelling of biological systems (2006) (0)
The reflectionless properties of Toeplitz waves and Hankel waves: an analysis via Bessel functions (2020) (0)
A canonical toolkit for modeling plant function (2004) (0)
Number 11 / 40 Higher-order numerical methods for stochastic simulation of chemical reaction systems by (2011) (0)
A virtual environment to re-create the auditory and visual hallucinations of psychosis (2004) (0)
N A ] 1 1 A ug 2 01 8 A NEW CLASS OF SEMI-IMPLICIT METHODS WITH LINEAR COMPLEXITY FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS (0)
Stochastic Modeling of Industrial Pollution in Heterogeneous Media (2002) (0)
Computer simulation of randomly oriented EPR spectra employing homotopy (1998) (0)
Open access notice for the paper 'Anomalous diffusion and multi fractional Brownian motion: simulating molecular crowding and physical obstacles in systems biology'. (2015) (0)
Author response: Quantitative analysis of tumour spheroid structure (2021) (0)
Integrative plant physiology: Dealing with plant development as the outcome of an integrated, coordinated and dynamic regulatory network (2001) (0)
Variable step size implementation of the Balanced Milstein method for stochastic differential equations (2007) (0)
Numerical methods for the chemical master equation and applications to stochastic models or receptor oligomerisation (2007) (0)
ADVISE, agricultural developmental visualisation interactive software environment (1994) (0)
The solution of large scale linear systems with an application in environmental modelling (1996) (0)
Effective numerical methods for simulating diffusion on a spherical surface in three dimensions (2022) (0)
Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings (2013) (0)
Preface to the proceedings (2003) (0)
A spectral method for time-fractional diffusion systems (2018) (0)
ISMB 2003 Organization (2003) (0)
Inference of Number and Location of Purkinje Root Nodes and Ventricular Conduction Properties from Clinical 12-Lead ECGs for Cardiac Digital Twinning (2022) (0)
Numerical solution of time-fractional reaction-diffusion systems (2015) (0)
MATHEMATICAL MODELLING OF GAS PRODUCTION IN A COAL SEAM GAS ( CSG ) FIELD (2015) (0)
Computer simulation of randomly oriented EPR employikng homotopy (1999) (0)
A software tool for simulating spatial separation and kinetics in biological membranes (2005) (0)
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing (2012) (0)
Optimal microdomain characteristics for nano-scale protein-protein interactions (2005) (0)
Corrigendum for "Modelling biochemical reaction systems by stochastic differential equations with reflection". (2016) (0)
Stable strong order 1.0 schemes for solving stochastic ordinary differential equations (2012) (0)
Formulae for mixed moments of Wiener processes and a stochastic area integral (2023) (0)
Heterogeneous nanomechanical properties of type I collagen in longitudinal direction (2017) (0)
Penn Symposium on Mathematical & Computational Biology May 22-23 , 2017 (2017) (0)
Preface (2014) (0)
A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems (2014) (0)
Globally simple integer Heffter arrays $H(n,4p)$ and $H(n,4p+3)$ (2019) (0)
A meshfree radial basis function method for simulation of multi‐dimensional conservation problems (2022) (0)

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