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2020 – today
- 2024
[j99]Luigi Brugnano
, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro:
A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations. J. Sci. Comput. 99(2): 48 (2024)- [j98]Julià Camps, Lucas Arantes Berg, Zhinuo Jenny Wang, Rafael Sebastián, Leto Luana Riebel, Rubén Doste, Xin Zhou, Rafael Sachetto Oliveira, James A. Coleman, Brodie Lawson, Vicente Grau, Kevin Burrage, Alfonso Bueno-Orovio, Rodrigo Weber dos Santos, Blanca Rodríguez:
Digital twinning of the human ventricular activation sequence to Clinical 12-lead ECGs and magnetic resonance imaging using realistic Purkinje networks for in silico clinical trials. Medical Image Anal. 94: 103108 (2024) - [j97]Brodie A. J. Lawson, Christopher C. Drovandi, Pamela M. Burrage, Alfonso Bueno-Orovio, Rodrigo Weber dos Santos, Blanca Rodríguez, Kerrie L. Mengersen, Kevin Burrage:
Perlin noise generation of physiologically realistic cardiac fibrosis. Medical Image Anal. 98: 103240 (2024) - [j96]Kevin Burrage, Zdzislaw Jackiewicz, Bernd Krauskopf, Yuto Miyatake, Helmut Podhaisky, Mayya Tokman:
ANODE 2023 In honour of John Butcher's 90th birthday. Numer. Algorithms 96(3): 1019-1020 (2024) - [j95]Pamela M. Burrage, Hasitha N. Weerasinghe, Kevin Burrage:
Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach. Numer. Algorithms 96(3): 1063-1077 (2024) - [c31]Julià Camps, Zhinuo Jenny Wang, Rubén Doste, Lucas Arantes Berg, Maxx Holmes, Brodie Lawson, Jakub Tomek, Kevin Burrage, Alfonso Bueno-Orovio, Blanca Rodríguez:
Open Source Cardiac Digital Twinning of Human Ventricular Repolarisation from 12-Lead ECG and MRI. CCIA 2024: 126-135 - [c30]Justin Noah Kreikemeyer, Kevin Burrage, Adelinde M. Uhrmacher:
Discovering Biochemical Reaction Models by Evolving Libraries. CMSB 2024: 117-136 - [i6]Julià Camps, Zhinuo Jenny Wang, Rubén Doste, Maxx Holmes, Brodie Lawson, Jakub Tomek, Kevin Burrage, Alfonso Bueno-Orovio, Blanca Rodríguez:
Cardiac Digital Twin Pipeline for Virtual Therapy Evaluation. CoRR abs/2401.10029 (2024) - 2023
- [j94]Shamika Kekulthotuwage Don, Kevin Burrage, Kate J. Helmstedt, Pamela M. Burrage:
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size. Axioms 12(4): 390 (2023) - [j93]Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage:
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. Commun. Nonlinear Sci. Numer. Simul. 116: 106794 (2023) - [j92]Alfonso Bueno-Orovio, Kevin Burrage:
Complex-order fractional diffusion in reaction-diffusion systems. Commun. Nonlinear Sci. Numer. Simul. 119: 107120 (2023) - [j91]Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage:
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. J. Comput. Phys. 480: 112020 (2023) - [j90]Yoshio Komori, Kevin Burrage:
Split S-ROCK Methods for High-Dimensional Stochastic Differential Equations. J. Sci. Comput. 97(3) (2023) - [j89]Yoshio Komori, Guoguo Yang, Kevin Burrage:
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral. SIAM J. Numer. Anal. 61(4): 1716-1736 (2023) - [i5]Yoshio Komori, Guoguo Yang, Kevin Burrage:
Formulae for mixed moments of Wiener processes and a stochastic area integral. CoRR abs/2303.11659 (2023) - [i4]Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro:
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations. CoRR abs/2310.10526 (2023) - 2022
- [j88]Megan E. Farquhar, Kevin Burrage, Rodrigo Weber dos Santos, Alfonso Bueno-Orovio, Brodie A. J. Lawson:
Graph-based homogenisation for modelling cardiac fibrosis. J. Comput. Phys. 459: 111126 (2022) - [j87]Kevin Burrage, Pamela M. Burrage, Grant Lythe:
Effective numerical methods for simulating diffusion on a spherical surface in three dimensions. Numer. Algorithms 91(4): 1577-1596 (2022) - [c29]Julià Camps, Zhinuo J. Wang, Rafael Sebastián, Xin Zhou, Brodie Lawson, Lucas Arantes Berg, Kevin Burrage, Vicente Grau, Rodrigo Weber dos Santos, Blanca Rodríguez:
Inference of Number and Location of Purkinje Root Nodes and Ventricular Conduction Properties from Clinical 12-Lead ECGs for Cardiac Digital Twinning. CinC 2022: 1-4 - 2021
- [j86]Kevin Burrage, Pamela M. Burrage, Shev MacNamara:
The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions. Appl. Math. Comput. 389: 125576 (2021) - [j85]Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage:
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Commun. Nonlinear Sci. Numer. Simul. 92: 105454 (2021) - [j84]Julià Camps, Brodie Lawson, Christopher C. Drovandi, Ana Mincholé, Zhinuo J. Wang, Vicente Grau, Kevin Burrage, Blanca Rodríguez:
Inference of ventricular activation properties from non-invasive electrocardiography. Medical Image Anal. 73: 102143 (2021) - [j83]Guoguo Yang, Kevin Burrage, Yoshio Komori, Pamela M. Burrage, Xiaohua Ding:
A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Numer. Algorithms 88(4): 1641-1665 (2021) - [j82]Kevin Burrage, Pamela M. Burrage, Shev MacNamara:
Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels. SIAM J. Matrix Anal. Appl. 42(4): 1656-1679 (2021) - [c28]Julià Camps, Brodie Lawson, Christopher C. Drovandi, Ana Mincholé, Zhinuo J. Wang, Vicente Grau, Kevin Burrage, Blanca Rodríguez:
Inference of Ventricular Activation Properties from Twelve-lead Electrocardiogram. CinC 2021: 1-4 - [c27]Megan E. Farquhar, Kevin Burrage, Brodie A. J. Lawson:
Robust Graph-Based Upscaling of Microscale Fibrotic Structures. CinC 2021: 1-4 - [i3]Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage:
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. CoRR abs/2102.02432 (2021) - 2020
- [j81]Kevin Burrage, Diane M. Donovan, Nicholas J. Cavenagh, Emine Sule Yazici:
Globally simple Heffter arrays H(n;k) when k≡0, 3(mod4). Discret. Math. 343(5): 111787 (2020) - [j80]Jinran Wu, You-Gan Wang, Kevin Burrage, Yu-Chu Tian, Brodie Lawson, Zhe Ding:
An improved firefly algorithm for global continuous optimization problems. Expert Syst. Appl. 149: 113340 (2020) - [i2]Kevin Burrage, Pamela M. Burrage, Shev MacNamara:
The reflectionless properties of Toeplitz waves and Hankel waves: an analysis via Bessel functions. CoRR abs/2005.04561 (2020) - [i1]Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage:
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. CoRR abs/2012.05527 (2020)
2010 – 2019
- 2019
- [j79]Yoshio Komori, Alexey S. Eremin, Kevin Burrage:
S-ROCK methods for stochastic delay differential equations with one fixed delay. J. Comput. Appl. Math. 353: 345-354 (2019) - [j78]Fanhai Zeng, Ian W. Turner, Kevin Burrage, Stephen J. Wright:
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394: 177-199 (2019) - [j77]Tarunendu Mapder, Samuel Clifford, John Aaskov, Kevin Burrage:
A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable. PLoS Comput. Biol. 15(11) (2019) - [j76]Ling Guo, Fanhai Zeng, Ian W. Turner, Kevin Burrage, George Em Karniadakis:
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41(4): A2510-A2535 (2019) - 2018
- [j75]Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng:
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7(2): 25 (2018) - [j74]Fanhai Zeng, Ian W. Turner, Kevin Burrage:
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77(1): 283-307 (2018) - [j73]Farah Aini Abdullah, Fawang Liu, Pamela M. Burrage, Kevin Burrage, T. Li:
Novel analytical and numerical techniques for fractional temporal SEIR measles model. Numer. Algorithms 79(1): 19-40 (2018) - [j72]Fanhai Zeng, Ian W. Turner, Kevin Burrage, George E. Karniadakis:
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40(5): A2986-A3011 (2018) - 2017
- [j71]Alfonso Bueno-Orovio, Kevin Burrage:
Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Commun. Nonlinear Sci. Numer. Simul. 52: 91-109 (2017) - [j70]Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson:
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. J. Comput. Phys. 338: 493-510 (2017) - [j69]Yoshio Komori, David Cohen, Kevin Burrage:
Weak Second Order Explicit Exponential Runge-Kutta Methods for Stochastic Differential Equations. SIAM J. Sci. Comput. 39(6) (2017) - [c26]Brodie Lawson, Chris Drovandi, Pamela M. Burrage, Blanca Rodríguez, Kevin Burrage:
Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue. CinC 2017 - 2016
- [j68]Shanzhen Chen, Fawang Liu, X. Jiang, Ian W. Turner, Kevin Burrage:
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients. SIAM J. Numer. Anal. 54(2): 606-624 (2016) - [j67]Alfonso Bueno-Orovio, Irvin Teh, Jürgen E. Schneider, Kevin Burrage, Vicente Grau:
Anomalous Diffusion in Cardiac Tissue as an Index of Myocardial Microstructure. IEEE Trans. Medical Imaging 35(9): 2200-2207 (2016) - [c25]Yadong Wang, Kevin Burrage, Yunlong Liu, Shinichi Morishita, Tianhai Tian, Qinghua Jiang, Jiangning Song, Guohua Wang, Qian Zhu, Xiaohua Tony Hu:
Preface. BIBM 2016: 1-2 - [c24]Tomasz Bednarz, June Kim, Ross Brown, Allan R. James, Kevin Burrage, Samuel Clifford, Jacqueline Davis, Kerrie L. Mengersen, Erin E. Peterson, Steven Psaltis, Julie Vercelloni:
Virtual reality for conservation. Web3D 2016: 177-178 - [e1]Tianhai Tian, Qinghua Jiang, Yunlong Liu, Kevin Burrage, Jiangning Song, Yadong Wang, Xiaohua Hu, Shinichi Morishita, Qian Zhu, Guohua Wang:
IEEE International Conference on Bioinformatics and Biomedicine, BIBM 2016, Shenzhen, China, December 15-18, 2016. IEEE Computer Society 2016, ISBN 978-1-5090-1611-2 [contents] - 2015
- [j66]Fawang Liu, Pinghui Zhuang, Ian W. Turner, Vo Anh, Kevin Burrage:
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. J. Comput. Phys. 293: 252-263 (2015) - [c23]Kevin Burrage, Pamela M. Burrage, Diane M. Donovan, Bevan Thompson:
Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling. ICCS 2015: 1762-1771 - 2014
- [j65]Tamás Székely, Kevin Burrage, Konstantinos C. Zygalakis, Manuel Barrio:
Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method. BMC Syst. Biol. 8: 71 (2014) - [j64]Shanzhen Chen, Fawang Liu, Kevin Burrage:
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 67(9): 1673-1681 (2014) - [j63]Shiping Chen, Fawang Liu, Kevin Burrage:
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 68(12): 2133-2141 (2014) - [j62]Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage:
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255: 635-651 (2014) - [j61]Kevin Burrage, Chus Sanz-Serna, Zdzislaw Jackiewicz:
Preface. Numer. Algorithms 65(3): 375-376 (2014) - [j60]Pamela M. Burrage, Kevin Burrage:
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Numer. Algorithms 65(3): 519-532 (2014) - [j59]Tamás Székely Jr., Kevin Burrage, Marc Mangel, Michael B. Bonsall:
Stochastic Dynamics of Interacting Haematopoietic Stem Cell Niche Lineages. PLoS Comput. Biol. 10(9) (2014) - [j58]Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh:
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52(6): 2599-2622 (2014) - [c22]Louie Cardone-Noott, Alfonso Bueno-Orovio, Ana Mincholé, Kevin Burrage, Mikael Wallman, Nejib Zemzemi, Erica Dall' Armellina, Blanca Rodríguez:
A Computational Investigation into the Effect of Infarction on Clinical Human Electrophysiology Biomarkers. CinC 2014: 673-676 - 2013
- [j57]Yoshio Komori, Kevin Burrage:
Strong first order S-ROCK methods for stochastic differential equations. J. Comput. Appl. Math. 242: 261-274 (2013) - [j56]Yuanling Niu, Kevin Burrage, Chengjian Zhang:
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. J. Comput. Appl. Math. 253: 51-65 (2013) - [j55]Fiete Haack, Kevin Burrage, Ronald Redmer, Adelinde M. Uhrmacher:
Studying the Role of Lipid Rafts on Protein Receptor Bindings with Cellular Automata. IEEE ACM Trans. Comput. Biol. Bioinform. 10(3): 760-770 (2013) - [c21]Xin Zhou, Alfonso Bueno-Orovio, Michele Orini, Ben M. Hanson, Martin P. Hayward, Peter Taggart, Pier D. Lambiase, Kevin Burrage, Blanca Rodríguez:
Population of Human Ventricular Cell Models Calibrated with in vivo Measurements unravels Ionic Mechanisms of Cardiac Alternans. CinC 2013: 855-858 - [c20]Valentina Carapella, Rafel Bordas, Pras Pathmanathan, Jürgen E. Schneider, Peter Kohl, Kevin Burrage, Vicente Grau:
Effect of Fibre Orientation Optimisation in an Electromechanical Model of Left Ventricular Contraction in Rat. FIMH 2013: 46-53 - [c19]John Walmsley, Gary R. Mirams, Igor R. Efimov, Kevin Burrage, Blanca Rodríguez:
Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings. FIMH 2013: 224-231 - 2012
- [j54]Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage:
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Appl. Math. Comput. 219(8): 4082-4095 (2012) - [j53]Tamás Székely, Kevin Burrage, Radek Erban, Konstantinos C. Zygalakis:
A higher-order numerical framework for stochastic simulation of chemical reaction systems. BMC Syst. Biol. 6: 85 (2012) - [j52]Fawang Liu, Pinghui Zhuang, Kevin Burrage:
Numerical methods and analysis for a class of fractional advection-dispersion models. Comput. Math. Appl. 64(10): 2990-3007 (2012) - [j51]H. Jiang, Fawang Liu, Ian W. Turner, Kevin Burrage:
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Comput. Math. Appl. 64(10): 3377-3388 (2012) - [j50]Yoshio Komori, Kevin Burrage:
Weak second order S-ROCK methods for Stratonovich stochastic differential equations. J. Comput. Appl. Math. 236(11): 2895-2908 (2012) - [j49]Kevin Burrage, Pamela M. Burrage:
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. J. Comput. Appl. Math. 236(16): 3920-3930 (2012) - [j48]Kevin Burrage, Nicholas Hale, David Kay:
An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations. SIAM J. Sci. Comput. 34(4) (2012) - [j47]Alhadi Bustamam, Kevin Burrage, Nicholas A. Hamilton:
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. 9(3): 679-692 (2012) - 2011
- [j46]Fawang Liu, Kevin Burrage:
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Comput. Math. Appl. 62(3): 822-833 (2011) - [j45]Yoshio Komori, Kevin Burrage:
Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. J. Comput. Appl. Math. 235(17): 5326-5329 (2011) - [j44]Chang-Ming Chen, Fawang Liu, Kevin Burrage:
Numerical analysis for a variable-order nonlinear cable equation. J. Comput. Appl. Math. 236(2): 209-224 (2011) - [j43]Duncan Mortimer, Peter Dayan, Kevin Burrage, Geoffrey J. Goodhill:
Bayes-Optimal Chemotaxis. Neural Comput. 23(2): 336-373 (2011) - [c18]Ciara Ellen Dangerfield, David Kay, Kevin Burrage:
Comparison of continuous and discrete stochastic ion channel models. EMBC 2011: 704-707 - 2010
- [j42]Tatiana T. Marquez-Lago, André Leier, Kevin Burrage:
Probability distributed time delays: integrating spatial effects into temporal models. BMC Syst. Biol. 4: 19 (2010) - [j41]Pau Rué, Jordi Villà-Freixa, Kevin Burrage:
Simulation methods with extended stability for stiff biochemical Kinetics. BMC Syst. Biol. 4: 110 (2010) - [j40]Mikael Bodén, Graham Dellaire, Kevin Burrage, Timothy L. Bailey:
A Bayesian Network Model of Proteins' Association with Promyelocytic Leukemia (PML) Nuclear Bodies. J. Comput. Biol. 17(4): 617-630 (2010) - [j39]Shev MacNamara, Kevin Burrage:
Stochastic Modeling of Naïve T Cell Homeostasis for Competing Clonotypes via the Master Equation. Multiscale Model. Simul. 8(4): 1325-1347 (2010) - [c17]C. E. Dangerfield, David Kay, Kevin Burrage:
Stochastic models and simulation of ion channel dynamics. ICCS 2010: 1587-1596
2000 – 2009
- 2009
- [j38]Dharma Lesmono, Elliot Tonkes, Kevin Burrage:
Opportunistic timing and manipulation in Australian Federal Elections. Eur. J. Oper. Res. 192(2): 677-691 (2009) - [j37]Fawang Liu, C. Yang, Kevin Burrage:
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. J. Comput. Appl. Math. 231(1): 160-176 (2009) - [j36]Shev MacNamara, Kevin Burrage:
Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. Numer. Algorithms 51(3): 281-307 (2009) - [j35]Kevin Burrage, Grant Lythe:
Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations. SIAM J. Numer. Anal. 47(3): 1601-1618 (2009) - 2008
- [j34]Chang-Ming Chen, Fawang Liu, Kevin Burrage:
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation. Appl. Math. Comput. 198(2): 754-769 (2008) - [j33]Dan V. Nicolau Jr., Kevin Burrage, Dan V. Nicolau, Philip K. Maini:
'Extremotaxis': Computing with a bacterial-inspired algorithm. Biosyst. 94(1-2): 47-54 (2008) - [j32]Dan V. Nicolau Jr., Kevin Burrage:
Stochastic simulation of chemical reactions in spatially complex media. Comput. Math. Appl. 55(5): 1007-1018 (2008) - [j31]Shev MacNamara, Kevin Burrage, Roger B. Sidje:
Multiscale Modeling of Chemical Kinetics via the Master Equation. Multiscale Model. Simul. 6(4): 1146-1168 (2008) - [j30]Roger B. Sidje, Alan B. Williams, Kevin Burrage:
Fast generalized cross validation using Krylov subspace methods. Numer. Algorithms 47(2): 109-131 (2008) - 2007
- [j29]Fawang Liu, Pinghui Zhuang, Vo Anh, Ian W. Turner, Kevin Burrage:
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191(1): 12-20 (2007) - [j28]Kevin Burrage, John Hancock, André Leier, Dan V. Nicolau Jr.:
Modelling and simulation techniques for membrane biology. Briefings Bioinform. 8(4): 234-244 (2007) - [j27]Tianhai Tian, Songlin Xu, Junbin Gao, Kevin Burrage:
Simulated maximum likelihood method for estimating kinetic rates in gene expression. Bioinform. 23(1): 84-91 (2007) - [j26]Jiangning Song, Zheng Yuan, Hao Tan, Thomas Huber, Kevin Burrage:
Predicting disulfide connectivity from protein sequence using multiple sequence feature vectors and secondary structure. Bioinform. 23(23): 3147-3154 (2007) - [j25]Kevin Burrage, Ian Lenane, Grant Lythe:
Numerical Methods for Second-Order Stochastic Differential Equations. SIAM J. Sci. Comput. 29(1): 245-264 (2007) - [j24]Roger B. Sidje, Kevin Burrage, Shev MacNamara:
Inexact Uniformization Method for Computing Transient Distributions of Markov Chains. SIAM J. Sci. Comput. 29(6): 2562-2580 (2007) - [c16]André Leier, Kevin Burrage, Pamela M. Burrage:
Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes. International Conference on Computational Science (1) 2007: 778-785 - 2006
- [j23]Kevin Burrage, Lindsay Hood, Mark A. Ragan:
Advanced computing for systems biology. Briefings Bioinform. 7(4): 390-398 (2006) - [j22]Jiangning Song, Kevin Burrage, Zheng Yuan, Thomas Huber:
Prediction of cis/trans isomerization in proteins using PSI-BLAST profiles and secondary structure information. BMC Bioinform. 7: 124 (2006) - [j21]Jiangning Song, Kevin Burrage:
Predicting residue-wise contact orders in proteins by support vector regression. BMC Bioinform. 7: 425 (2006) - [j20]Manuel Barrio, Kevin Burrage, André Leier, Tianhai Tian:
Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation. PLoS Comput. Biol. 2(9) (2006) - [c15]André Leier, P. Dwight Kuo, Wolfgang Banzhaf, Kevin Burrage:
Evolving Noisy Oscillatory Dynamics in Genetic Regulatory Networks. EuroGP 2006: 290-299 - [c14]Kevin Burrage, Vladimir Estivill-Castro, Michael R. Fellows, Michael A. Langston, Shev Mac, Frances A. Rosamond:
The Undirected Feedback Vertex Set Problem Has a Poly(k) Kernel. IWPEC 2006: 192-202 - [c13]Kevin Burrage, Shev Mac, Tianhai Tian:
Accelerated Leap Methods for Simulating Discrete Stochastic Chemical Kinetics. POSTA 2006: 359-366 - 2005
- [j19]Roger B. Sidje, Kevin Burrage:
QRT: A QR-Based Tridiagonalization Algorithm for Nonsymmetric Matrices. SIAM J. Matrix Anal. Appl. 26(3): 878-900 (2005) - [c12]Tianhai Tian, Kevin Burrage:
A Mathematical Model for Genetic Regulation of the Lactose Operon. ICCSA (2) 2005: 1245-1253 - 2004
- [j18]Thomas E. Turner, Santiago Schnell, Kevin Burrage:
Stochastic approaches for modelling in vivo reactions. Comput. Biol. Chem. 28(3): 165-178 (2004) - [j17]Jamie Alcock, Kevin Burrage:
A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Comput. Stat. Data Anal. 47(2): 255-275 (2004) - [j16]Jasmine Banks, Geoffery Ericksson, Kevin Burrage, Peter Yellowlees, Sean Ivermee, Jennifer Tichon:
Constructing the hallucinations of psychosis in Virtual Reality. J. Netw. Comput. Appl. 27(1): 1-11 (2004) - [j15]Margherita Carletti, Kevin Burrage, Pamela M. Burrage:
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Math. Comput. Simul. 64(2): 271-277 (2004) - [c11]Jasmine Banks, Geoffery Ericksson, Sean Ivermee, Kevin Burrage, P. Yellowless, Jennifer Tichon:
A virtual environment to re-create the auditory and visual hallucinations of psychosis. VRCAI 2004: 45-48 - 2003
- [j14]Pamela M. Burrage, Kevin Burrage:
A Variable Stepsize Implementation for Stochastic Differential Equations. SIAM J. Sci. Comput. 24(3): 848-864 (2003) - [c10]Tianhai Tian, Kevin Burrage:
Stochastic neural network models for gene regulatory networks. IEEE Congress on Evolutionary Computation 2003: 162-169 - [c9]Jasmine Banks, Jennifer Tichon, Geoffery Ericksson, Sean Ivermee, Kevin Burrage, Peter Yellowlees:
A Virtual Environment to Simulate the Experience of Psychosis. DICTA 2003: 869-878 - [c8]Roger B. Sidje, Kevin Burrage, Bernard Philippe:
An Augmented Lanczos Algorithm for the Efficient Computation of a Dot-Product of a Function of a Large Sparse Symmetric Matrix. International Conference on Computational Science 2003: 693-704 - 2002
- [j13]Minnie Kerr, Kevin Burrage:
New Multivalue Methods for Differential Algebraic Equations. Numer. Algorithms 31(1-4): 193-213 (2002) - [j12]Kevin Burrage, Tianhai Tian:
Predictor-Corrector Methods of Runge-Kutta Type for Stochastic Differential Equations. SIAM J. Numer. Anal. 40(4): 1516-1537 (2002) - [c7]Bian Runqiang, Yi-Ping Phoebe Chen, Kevin Burrage, Jim Hanan, Peter Room, John Belward:
Derivation of L-system Models from Measurements of Biological Branching Structures Using Genetic Algorithms. IEA/AIE 2002: 514-524 - 2000
- [j11]Kevin Burrage, Heru Suhartanto:
Parallel iterated methods based on variable step-size multistep Runge - Kutta methods of Radau type for stiff problems. Adv. Comput. Math. 13(3): 257-270 (2000) - [j10]Kevin Burrage, Pamela M. Burrage:
Order Conditions of Stochastic Runge-Kutta Methods by B-Series. SIAM J. Numer. Anal. 38(5): 1626-1646 (2000)
1990 – 1999
- 1999
- [c6]Peter Christen, Irfan Altas, Markus Hegland, Stephen G. Roberts, Kevin Burrage, Roger B. Sidje:
A parallel finite element surface fitting algorithm for data mining. PARCO 1999: 275-282 - 1998
- [j9]D. G. Mayer, John A. Belward, Kevin Burrage:
Optimizing simulation models of agricultural systems. Ann. Oper. Res. 82: 219-232 (1998) - [j8]Kevin Burrage, Jocelyne Erhel:
On the performance of various adaptive preconditioned GMRES strategies. Numer. Linear Algebra Appl. 5(2): 101-121 (1998) - [j7]Kevin Burrage, Jocelyne Erhel, Bert Pohl, Alan Williams:
A Deflation Technique for Linear Systems of Equations. SIAM J. Sci. Comput. 19(4): 1245-1260 (1998) - [j6]Jørgen Sand, Kevin Burrage:
A Jacobi Waveform Relaxation Method for ODEs. SIAM J. Sci. Comput. 20(2): 534-552 (1998) - 1997
- [j5]Kevin Burrage:
Parallel methods for ODEs. Adv. Comput. Math. 7(1-2): 1-31 (1997) - [j4]Kevin Burrage, Heru Suhartanto:
Parallel iterated methods based on multistep Runge-Kutta methods of Radau type. Adv. Comput. Math. 7(1-2): 37-57 (1997) - [j3]Kevin Burrage, Heru Suhartanto:
Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems. Adv. Comput. Math. 7(1-2): 59-77 (1997) - 1996
- [p1]Kevin Burrage:
Parallel Methods for Systems of Ordinary Differential Equations. Applications on Advanced Architecture Computers 1996: 101-120 - 1995
- [b1]Kevin Burrage:
Parallel and sequential methods for ordinary differential equations. Numerical analysis and scientific computation, Oxford University Press 1995, ISBN 978-0-19-853432-7, pp. I-XVI, 1-446 - [c5]Alan Williams, Kevin Burrage:
Surface Fitting Using GCV Smoothing Splines on Supercomputers. SC 1995: 11 - 1994
- [c4]Lawrence Lau, Mike Rezny, John Belward, Kevin Burrage, Bert Pohl:
ADVISE - Agricultural Developmental Visualisation Interactive Software Environment. CONPAR 1994: 184-195 - [c3]Irfan Altas, Mike Rezny, John Louis, Kevin Burrage, R. Moore, John Belward:
A New Image Enhancement Algorithm on MasPar and Parallel Virtual Machine (PVM) Environments. EUROSIM 1994: 819-826 - 1993
- [c2]Kevin Burrage, John Belward, Frank Duncalfe, Lawrence Lau, Mike Rezny, Robert Young:
Drought Monitoring through Parallel Computing. PPSC 1993: 117-125 - 1990
- [j2]Kevin Burrage:
An adaptive numerical integration code for a chain of transputers. Parallel Comput. 16(2-3): 305-312 (1990)
1980 – 1989
- 1989
- [c1]Kevin Burrage:
The dichotomy of stiffness: pragmatism versus theory. Conference on Numerical Ordinary Differential Equations 1989: 92-111 - 1986
- [j1]Kevin Burrage, Willem Hundsdorfer, Jan G. Verwer:
A study of B-convergence of Runge-Kutta methods. Computing 36(1-2): 17-34 (1986)
Coauthor Index
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