Edit Profile (opens in new tab) Burrage, Kevin Co-Author Distance Author ID: burrage.kevin Published as: Burrage, Kevin; Burrage, K. Homepage: https://staff.qut.edu.au/staff/kevin.burrage External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 197 Publications since 1978, including 1 Book and 5 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 278 Reviews Co-Authors: 142 Co-Authors with 175 Joint Publications 3,079 Co-Co-Authors all top 5 Co-Authors 24 single-authored 28 Burrage, Pamela M. 27 Liu, Fawang 25 Turner, Ian William 15 Tian, Tianhai 10 Komori, Yoshio 9 MacNamara, Shev F. 9 Sidje, Roger B. 7 Jackiewicz, Zdzislaw 6 Zeng, Fanhai 5 Anh, Vo V. 5 Bueno-Orovio, Alfonso 5 Chipman, F. H. 5 Pohl, Bert 4 Erhel, Jocelyne 4 Lesmono, Dharma 4 Lythe, Grant 4 Niu, Yuanling 4 Sharp, Philip W. 4 Welfert, Bruno D. 4 Williams, Alan B. 4 Yu, Qiang 4 Zhuang, Pinghui 3 Alcock, Jamie 3 Belward, John Alan 3 Brugnano, Luigi 3 Butcher, John C. 3 Chen, Changming 3 Donovan, Diane M. 3 Lawson, Brodie A. J. 3 Suhartanto, Heru 3 Tonkes, E. J. 3 Weber Dos Santos, Rodrigo 3 Yang, Guoguo 3 Yang, Qianqian 3 Yazıcı, Emine Şule 2 Altas, Irfan 2 Carletti, Margherita 2 Chen, Jinghua 2 Chen, Luonan 2 Cusimano, Nicole 2 Dayan, Peter 2 Ding, Xiaohua 2 Farquhar, Megan E. 2 Feng, Libo 2 Goodhill, Geoffrey J. 2 Herdiana, R. 2 Hundsdorfer, Willem H. 2 Karniadakis, George Em 2 Kerr, Minnie 2 Liu, Qingxia 2 Mac, Shev 2 McCourt, Thomas A. 2 Mortimer, Duncan 2 Perré, Patrick 2 Piskarëv, S. I. 2 Renaut, Rosemary Anne 2 Simpson, Matthew J. 2 Somathilake, Lekam Watte 2 Thompson, Harold Bevan 2 Walmsley, John L. 2 Zhang, Chengjian 1 Abdullah, Farah Aini 1 Ahn, Vo 1 Baker, Christopher Thomas Hale 1 Berg, Lucas A. 1 Browning, Alexander P. 1 Cardone, Angelamaria 1 Carreras, Giulia 1 Cavenagh, Nicholas J. 1 Chan, Robert Peng Kong 1 Chen, Phoebe 1 Chen, Shiping 1 Chen, Yunkun 1 Christen, Peter 1 D’Ambrosio, Raffaele 1 Dangerfield, Ciara E. 1 Don, Shamika P. Kekulthotuwage 1 Duc, K. Dao 1 Dyke, Carolyn 1 Eldershaw, Craig 1 Eremin, Alexey S. 1 Estivill-Castro, Vladimir 1 Fellows, Michael Ralph 1 Fine, J. M. 1 Foy, Brody H. 1 Guo, Ling 1 Hale, Nicholas 1 Hamilton, Nicholas A. 1 Hanan, James 1 Hegland, Markus 1 Helmstedt, Kate J. 1 Hertono, G. 1 Holcman, David 1 Iavernaro, Felice 1 Jiang, Xiaoyun 1 Langston, Michael A. 1 Leier, André 1 Lenane, Ian 1 Li, Changpin 1 Li, Tianzeng ...and 42 more Co-Authors all top 5 Serials 17 Journal of Computational and Applied Mathematics 14 BIT 13 SIAM Journal on Numerical Analysis 13 Applied Numerical Mathematics 13 The ANZIAM Journal 9 SIAM Journal on Scientific Computing 7 Computers & Mathematics with Applications 7 Numerical Algorithms 6 Journal of Computational Physics 6 BIT. Nordisk Tidskrift for Informationsbehandling 6 Journal of Theoretical Biology 5 IMA Journal of Numerical Analysis 5 Applied Mathematics and Computation 5 Advances in Computational Mathematics 4 Applied Mathematical Modelling 4 Communications in Nonlinear Science and Numerical Simulation 3 Annals of Numerical Mathematics 2 IMA Journal of Applied Mathematics 2 The Australian Mathematical Society Gazette 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Scientific Computing 2 Multiscale Modeling & Simulation 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Computing 1 The Fibonacci Quarterly 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Journal of Computational Mathematics 1 Parallel Computing 1 Annals of Operations Research 1 Neural Computation 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 New Zealand Journal of Mathematics 1 Numerical Linear Algebra with Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Applied Mathematics and Computing 1 Computational Biology and Chemistry 1 Journal of the Indonesian Mathematical Society 1 Mediterranean Journal of Mathematics 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Journal of Fractional Calculus and Applications 1 Axioms 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Cogent Mathematics & Statistics all top 5 Fields 154 Numerical analysis (65-XX) 67 Ordinary differential equations (34-XX) 54 Probability theory and stochastic processes (60-XX) 38 Partial differential equations (35-XX) 34 Biology and other natural sciences (92-XX) 12 Real functions (26-XX) 9 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 163 Publications have been cited 4,307 times in 2,803 Documents Cited by ▼ Year ▼ Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093 Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 310 2007 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349 Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 221 2014 Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265 Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin 183 2014 Stability criteria for implicit Runge-Kutta methods. Zbl 0396.65043 Burrage, Kevin; Butcher, J. C. 136 1979 Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107 Liu, F.; Yang, C.; Burrage, K. 133 2009 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146 Burrage, Kevin; Hale, Nicholas; Kay, David 128 2012 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213 Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 122 2014 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124 Liu, F.; Zhuang, P.; Burrage, K. 120 2012 Non-linear stability of a general class of differential equation methods. Zbl 0431.65051 Burrage, Kevin; Butcher, J. C. 118 1980 Parallel and sequential methods for ordinary differential equations. Zbl 0838.65073 Burrage, Kevin 117 1995 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124 Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 105 2012 Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300 Jiang, H.; Liu, F.; Turner, I.; Burrage, K. 98 2012 Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057 Chen, Chang-Ming; Liu, F.; Burrage, K. 95 2008 High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101 Burrage, K.; Burrage, P. M. 91 1996 Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004 Burrage, K.; Burrage, P. M.; Tian, T. 80 2004 Order conditions of stochastic Runge–Kutta methods by B-series. Zbl 0983.65006 Burrage, K.; Burrage, P. M. 75 2000 A special family of Runge-Kutta methods for solving stiff differential equations. Zbl 0384.65034 Burrage, Kevin 75 1978 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316 Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 74 2015 An implementation of singly-implicit Runge-Kutta methods. Zbl 0456.65040 Burrage, K.; Butcher, J. C.; Chipman, F. H. 67 1980 Restarted GMRES preconditioned by deflation. Zbl 0854.65025 Erhel, Jocelyne; Burrage, Kevin; Pohl, Bert 61 1996 Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029 Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita 56 2007 Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114 Liu, F.; Burrage, K. 55 2011 A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047 Zeng, Fanhai; Turner, Ian; Burrage, Kevin 50 2018 Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007 Tian, Tianhai; Burrage, Kevin 49 2001 Numerical solutions of stochastic differential equations – implementation and stability issues. Zbl 0971.65003 Burrage, Kevin; Burrage, Pamela; Mitsui, Taketomo 46 2000 High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula. Zbl 1194.65023 Burrage, K.; Burrage, P. M. 45 1999 Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005 Carletti, M.; Burrage, K.; Burrage, P. M. 41 2004 Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035 Turner, T. E.; Schnell, S.; Burrage, K. 41 2004 A study of B-convergence of Runge-Kutta methods. Zbl 0572.65053 Burrage, K.; Hundsdorfer, W. H.; Verwer, J. G. 40 1986 The composite Euler method for stiff stochastic differential equations. Zbl 0987.65009 Burrage, Kevin; Tian, Tianhai 37 2001 Numerical methods for second-order stochastic differential equations. Zbl 1144.65004 Burrage, Kevin; Lenane, Ian; Lythe, Grant 36 2007 General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems. Zbl 0924.65146 Burrage, K.; Burrage, P. M. 36 1998 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290 Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 36 2016 A variable stepsize implementation for stochastic differential equations. Zbl 1034.65003 Burrage, P. M.; Burrage, K. 36 2002 A note on the balanced method. Zbl 1116.65004 Alcock, Jamie; Burrage, Kevin 35 2006 A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114 Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 35 2012 Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007 Burrage, Kevin; Burrage, Pamela M. 34 2012 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370 Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 30 2008 The undirected feedback vertex set problem has a Poly\((k)\) kernel. Zbl 1154.68421 Burrage, Kevin; Estivill-Castro, Vladimir; Fellows, Michael; Langston, Michael; Mac, Shev; Rosamond, Frances 29 2006 Two-stage and three-stage diagonally implicit Runge-Kutta Nyström methods of orders three and four. Zbl 0711.65057 Sharp, P. W.; Fine, J. M.; Burrage, K. 29 1990 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105 Chen, S.; Liu, F.; Burrage, K. 27 2014 Numerical solution of time fractional diffusion systems. Zbl 1372.65228 Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 27 2017 Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017 Burrage, Pamela M.; Burrage, Kevin 27 2014 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 26 2013 Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350 Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 26 2019 On the performance of various adaptive preconditioned GMRES strategies. Zbl 0937.65036 Burrage, K.; Erhel, J. 25 1998 Parallel methods for initial value problems. Zbl 0781.65060 Burrage, Kevin 23 1993 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179 Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 23 2014 Implicit stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1048.65005 Burrage, Kevin; Tian, Tianhai 22 2004 Efficient block predictor-corrector methods with a small number of corrections. Zbl 0782.65088 Burrage, Kevin 22 1993 Efficiently implementable algebraically stable Runge-Kutta methods. Zbl 0483.65040 Burrage, Kevin 21 1982 An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227 Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin 21 2021 Runge-Kutta methods for stochastic differential equations. Zbl 0824.65148 Burrage, K.; Platen, E. 20 1994 Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103 Chen, Chang-Ming; Liu, F.; Burrage, K. 20 2011 Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300 Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev 20 2007 Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002 Tian, T. H.; Burrage, K. 19 2002 Order properties of implicit multivalue methods for ordinary differential equations. Zbl 0637.65066 Burrage, Kevin 18 1988 Adams-type methods for the numerical solution of stochastic ordinary differential equations. Zbl 0963.65004 Brugnano, L.; Burrage, K.; Burrage, P. M. 18 2000 High order algebraically stable multistep Runge-Kutta methods. Zbl 0611.65046 Burrage, K. 18 1987 A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011 Komori, Yoshio; Burrage, Kevin 18 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319 Chen, S.; Liu, F.; Burrage, K. 18 2014 A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105 Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 18 2018 A Jacobi waveform relaxation method for ODEs. Zbl 0923.65045 Sand, J.; Burrage, K. 17 1999 A note on the stability properties of the Euler methods for solving stochastic differential equations. Zbl 0980.60083 Burrage, Kevin; Tian, Tianhai 17 2000 Adaptive stepsize based on control theory for stochastic differential equations. Zbl 1049.65009 Burrage, P. M.; Herdiana, R.; Burrage, K. 17 2004 Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205 Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J. 17 2017 A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074 Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin 16 2012 Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092 Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y. 16 2013 Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203 Liu, F.; Burrage, K.; Hamilton, N. A. 15 2013 A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations. Zbl 0811.65113 Altas, Irfan; Burrage, Kevin 14 1994 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224 Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 14 2014 Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007 Komori, Yoshio; Burrage, Kevin 14 2013 The order of B-convergence of algebraically stable Runge-Kutta methods. Zbl 0629.65075 Burrage, K.; Hundsdorfer, W. H. 13 1987 High order algebraically stable Runge-Kutta methods. Zbl 0401.65049 Burrage, Kevin 13 1978 A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. Zbl 1255.65019 Dangerfield, C. E.; Kay, D.; MacNamara, S.; Burrage, K. 13 2012 Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. Zbl 1387.65064 Komori, Yoshio; Cohen, David; Burrage, Kevin 13 2017 Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075 Burrage, Kevin; Tian, Tianhai 13 2002 Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068 Burrage, Kevin; Lythe, Grant 13 2009 Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063 Komori, Yoshio; Burrage, Kevin 12 2012 Parallel methods for ODEs. Zbl 0900.65210 Burrage, Kevin 12 1997 A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0890.65146 Burrage, K.; Burrage, P. M.; Belward, J. A. 12 1997 The use of a Riesz fractional differential-based approach for texture enhancement in image processing. Zbl 1386.94018 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor 12 2012 Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Zbl 1390.65093 Yang, Qianqian; Moroney, Tim; Burrage, Kevin; Turner, Ian; Liu, Fawang 12 2010 Order results for mono-implicit Runge-Kutta methods. Zbl 0809.65080 Burrage, K.; Chipman, F. H.; Muir, P. H. 12 1994 Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049 Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A. 11 1996 On the performance of parallel waveform relaxations for differential systems. Zbl 0855.65074 Burrage, Kevin; Dyke, Carolyn; Pohl, Bert 11 1996 A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088 Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie 11 2002 Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations. Zbl 0991.65005 Burrage, Kevin; Tian, Tianhai 10 2001 The error behaviour of a general class of predictor-corrector methods. Zbl 0743.65064 Burrage, Kevin 10 1991 Parallel iterated methods based on multistep Runge-Kutta methods of Radau type. Zbl 0884.65080 Burrage, K.; Suhartanto, H. 10 1997 The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs. Zbl 0787.65048 Burrage, Kevin 10 1993 On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique. Zbl 1443.35166 Cusimano, Nicole; Burrage, Kevin; Turner, I.; Kay, David 10 2017 Simplifying assumptions for the order of partitioned multivalue methods. Zbl 0477.65051 Burrage, Kevin; Moss, Pamela 9 1980 A deflation technique for linear systems of equations. Zbl 0914.65025 Burrage, K.; Erhel, J.; Pohl, B.; Williams, A. 9 1998 On order reduction for Runge-Kutta methods applied to differential/algebraic systems and to stiff systems of ODEs. Zbl 0708.65069 Burrage, Kevin; Petzold, Linda 9 1990 Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034 Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin 9 2015 Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \). Zbl 1435.05040 Burrage, Kevin; Donovan, Diane M.; Cavenagh, Nicholas J.; Yazıcı, Emine Ş. 9 2020 Stability and efficiency properties of implicit Runge-Kutta methods. Zbl 0388.65036 Burrage, Kevin 8 1978 Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002 Alcock, Jamie; Burrage, Kevin 8 2012 On smoothing and order reduction effects for implicit Runge-Kutta formulae. Zbl 0802.65088 Burrage, Kevin; Chan, R. P. K. 7 1993 Complex-order fractional diffusion in reaction-diffusion systems. Zbl 1509.35339 Bueno-Orovio, Alfonso; Burrage, Kevin 2 2023 The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. Zbl 07662519 Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin 2 2023 A meshfree radial basis function method for simulation of multi-dimensional conservation problems. Zbl 07777020 Foy, Brody H.; Burrage, Kevin; Turner, Ian 1 2023 Graph-based homogenisation for modelling cardiac fibrosis. Zbl 07525124 Farquhar, Megan E.; Burrage, Kevin; Weber Dos Santos, Rodrigo; Bueno-Orovio, Alfonso; Lawson, Brodie A. J. 1 2022 An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227 Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin 21 2021 A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Zbl 1482.65013 Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Burrage, Pamela; Ding, Xiaohua 6 2021 Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \). Zbl 1435.05040 Burrage, Kevin; Donovan, Diane M.; Cavenagh, Nicholas J.; Yazıcı, Emine Ş. 9 2020 Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350 Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 26 2019 S-ROCK methods for stochastic delay differential equations with one fixed delay. Zbl 1417.65023 Komori, Yoshio; Eremin, Alexey; Burrage, Kevin 4 2019 A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. Zbl 1452.65284 Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Wright, Stephen J. 3 2019 Optimal control of acute myeloid leukaemia. Zbl 1411.92149 Sharp, Jesse A.; Browning, Alexander P.; Mapder, Tarunendu; Burrage, Kevin; Simpson, Matthew J. 2 2019 Wider contours and adaptive contours. Zbl 07075714 MacNamara, Shev; McLean, William; Burrage, Kevin 1 2019 A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047 Zeng, Fanhai; Turner, Ian; Burrage, Kevin 50 2018 A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105 Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 18 2018 A space-fractional-reaction-diffusion model for pattern formation in coral reefs. Zbl 1426.92007 Somathilake, Lekam Watte; Burrage, Kevin 6 2018 Novel analytical and numerical techniques for fractional temporal SEIR measles model. Zbl 1402.92379 Abdullah, F. A.; Liu, F.; Burrage, P.; Burrage, K.; Li, T. 3 2018 Estimates of the coverage of parameter space by Latin hypercube and orthogonal array-based sampling. Zbl 1480.62158 Donovan, D.; Burrage, Kevin; Burrage, Pamela; McCourt, T. A.; Thompson, B.; Yazici, E. Ş. 3 2018 Numerical solution of time fractional diffusion systems. Zbl 1372.65228 Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 27 2017 Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205 Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J. 17 2017 Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. Zbl 1387.65064 Komori, Yoshio; Cohen, David; Burrage, Kevin 13 2017 On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique. Zbl 1443.35166 Cusimano, Nicole; Burrage, Kevin; Turner, I.; Kay, David 10 2017 Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Zbl 1510.92110 Bueno-Orovio, Alfonso; Burrage, Kevin 6 2017 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290 Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 36 2016 Modelling biochemical reaction systems by stochastic differential equations with reflection. Zbl 1343.92165 Niu, Yuanling; Burrage, Kevin; Chen, Luonan 6 2016 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316 Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 74 2015 Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034 Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin 9 2015 Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Zbl 1350.92018 Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K. 1 2015 Application of stochastic phenomenological modelling to cell-to-cell and beat-to-beat electrophysiological variability in cardiac tissue. Zbl 1314.92044 Walmsley, John; Mirams, Gary R.; Pitt-Francis, Joe; Rodriguez, Blanca; Burrage, Kevin 1 2015 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349 Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 221 2014 Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265 Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin 183 2014 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213 Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 122 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105 Chen, S.; Liu, F.; Burrage, K. 27 2014 Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017 Burrage, Pamela M.; Burrage, Kevin 27 2014 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179 Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 23 2014 A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011 Komori, Yoshio; Burrage, Kevin 18 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319 Chen, S.; Liu, F.; Burrage, K. 18 2014 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224 Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 14 2014 Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations. Zbl 1315.65007 Burrage, Kevin; Lythe, Grant 1 2014 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 26 2013 Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092 Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y. 16 2013 Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203 Liu, F.; Burrage, K.; Hamilton, N. A. 15 2013 Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007 Komori, Yoshio; Burrage, Kevin 14 2013 A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. Zbl 1288.65010 Niu, Yuanling; Burrage, Kevin; Zhang, Chengjian 4 2013 Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043 Chen, J.; Liu, F.; Burrage, K.; Shen, S. 3 2013 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146 Burrage, Kevin; Hale, Nicholas; Kay, David 128 2012 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124 Liu, F.; Zhuang, P.; Burrage, K. 120 2012 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124 Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 105 2012 Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300 Jiang, H.; Liu, F.; Turner, I.; Burrage, K. 98 2012 A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114 Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 35 2012 Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007 Burrage, Kevin; Burrage, Pamela M. 34 2012 A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074 Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin 16 2012 A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. Zbl 1255.65019 Dangerfield, C. E.; Kay, D.; MacNamara, S.; Burrage, K. 13 2012 Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063 Komori, Yoshio; Burrage, Kevin 12 2012 The use of a Riesz fractional differential-based approach for texture enhancement in image processing. Zbl 1386.94018 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor 12 2012 Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002 Alcock, Jamie; Burrage, Kevin 8 2012 Fractional models for the migration of biological cells in complex spatial domains. Zbl 1387.92013 Cusimano, Nicole; Burrage, Kevin; Burrage, Pamela 2 2012 Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114 Liu, F.; Burrage, K. 55 2011 Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103 Chen, Chang-Ming; Liu, F.; Burrage, K. 20 2011 Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. Zbl 1218.65011 Komori, Yoshio; Burrage, Kevin 5 2011 Bayes-optimal chemotaxis. Zbl 1208.92008 Mortimer, Duncan; Dayan, Peter; Burrage, Kevin; Goodhill, Geoffrey J. 2 2011 Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Zbl 1390.65093 Yang, Qianqian; Moroney, Tim; Burrage, Kevin; Turner, Ian; Liu, Fawang 12 2010 Optimizing chemotaxis by measuring unbound-bound transitions. Zbl 1186.92011 Mortimer, Duncan; Dayan, Peter; Burrage, Kevin; Goodhill, Geoffrey J. 4 2010 Stochastic modeling of naïve T cell homeostasis for competing clonotypes via the master equation. Zbl 1211.92017 MacNamara, Shev; Burrage, Kevin 2 2010 Parameter estimation for a phenomenological model of the cardiac action potential. Zbl 1387.92020 Liu, Fawang; Walmsley, John; Burrage, Kevin 1 2010 Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107 Liu, F.; Yang, C.; Burrage, K. 133 2009 Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068 Burrage, Kevin; Lythe, Grant 13 2009 Spectral approximation of time windows in the solution of dissipative linear differential equations. Zbl 1195.65091 Burrage, K.; Jackiewicz, Z.; Welfert, B. D. 4 2009 Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. Zbl 1165.92019 MacNamara, Shev; Burrage, Kevin 3 2009 Opportunistic timing and manipulation in Australian federal elections. Zbl 1157.91331 Lesmono, Dharma; Tonkes, Elliot; Burrage, Kevin 2 2009 Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057 Chen, Chang-Ming; Liu, F.; Burrage, K. 95 2008 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370 Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 30 2008 Stochastic simulation of chemical reactions in spatially complex media. Zbl 1137.92015 Nicolau, Dan V. jun.; Burrage, Kevin 5 2008 Fast generalized cross validation using Krylov subspace methods. Zbl 1157.65012 Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin 3 2008 Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation. Zbl 1142.92002 Rudge, Tim; Burrage, Kevin 3 2008 A note on the existence and uniqueness of a bounded mean-reverting prosess. Zbl 1214.60025 Lesmono, D.; Pollett, P. K.; Tonkes, E. J.; Burrage, K. 1 2008 Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093 Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 310 2007 Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029 Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita 56 2007 Numerical methods for second-order stochastic differential equations. Zbl 1144.65004 Burrage, Kevin; Lenane, Ian; Lythe, Grant 36 2007 Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300 Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev 20 2007 An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications. Zbl 1334.92475 MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B. 2 2007 A note on the balanced method. Zbl 1116.65004 Alcock, Jamie; Burrage, Kevin 35 2006 The undirected feedback vertex set problem has a Poly\((k)\) kernel. Zbl 1154.68421 Burrage, Kevin; Estivill-Castro, Vladimir; Fellows, Michael; Langston, Michael; Mac, Shev; Rosamond, Frances 29 2006 Accelerated leap methods for simulating discrete stochastic chemical kinetics. Zbl 1132.93345 Burrage, Kevin; Mac, Shev; Tian, Tianhai 3 2006 QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. Zbl 1081.65040 Sidje, Roger B.; Burrage, K. 2 2005 A continuous time model for election timing. Zbl 1183.91044 Lesmono, D.; Tonkes, E. J.; Burrage, K. 1 2005 Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004 Burrage, K.; Burrage, P. M.; Tian, T. 80 2004 Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005 Carletti, M.; Burrage, K.; Burrage, P. M. 41 2004 Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035 Turner, T. E.; Schnell, S.; Burrage, K. 41 2004 Implicit stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1048.65005 Burrage, Kevin; Tian, Tianhai 22 2004 Adaptive stepsize based on control theory for stochastic differential equations. Zbl 1049.65009 Burrage, P. M.; Herdiana, R.; Burrage, K. 17 2004 Bistability and switching in the lysis/lysogeny genetic regulatory network of bacteriophage \(\lambda\). Zbl 1439.92096 Tian, Tianhai; Burrage, Kevin 7 2004 A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Zbl 1429.62362 Alcock, Jamie; Burrage, Kevin 6 2004 An early political election problem. Zbl 1097.91070 Lesmono, D.; Tonkes, E. J.; Burrage, K. 2 2004 On the convergence of LMF-type methods for SODEs. Zbl 1167.65321 Carreras, Giulia; Brugnano, Luigi; Burrage, Kevin 1 2004 Convergence of the parallel chaotic waveform relaxation method for stiff systems. Zbl 1016.65058 Yuan, Dongjin; Burrage, Kevin 2 2003 Accuracy issues of Monte-Carlo methods for valuing American options. Zbl 1123.91326 Tian, Tianhai; Burrage, Kevin 2 2003 A variable stepsize implementation for stochastic differential equations. Zbl 1034.65003 Burrage, P. M.; Burrage, K. 36 2002 Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002 Tian, T. H.; Burrage, K. 19 2002 Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075 Burrage, Kevin; Tian, Tianhai 13 2002 A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088 Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie 11 2002 ...and 63 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,329 Authors 138 Liu, Fawang 91 Burrage, Kevin 79 Turner, Ian William 53 Anh, Vo V. 43 Jiang, Xiaoyun 35 Li, Hong 34 Liu, Yang 32 D’Ambrosio, Raffaele 31 Dehghan Takht Fooladi, Mehdi 31 Wang, Hong 29 Abbaszadeh, Mostafa 27 Huang, Chengming 27 Owolabi, Kolade Matthew 25 Butcher, John C. 25 Feng, Libo 24 Paternoster, Beatrice 24 Zeng, Fanhai 23 Zaky, Mahmoud A. 22 Jackiewicz, Zdzislaw 22 Zhang, Chengjian 21 Gan, Siqing 20 Rößler, Andreas 20 Tang, Yifa 19 Hendy, Ahmed S. 19 Karniadakis, George Em 19 Zhang, Hui 18 Sun, Zhizhong 17 Burrage, Pamela M. 17 Cong, Nguyen Huu 17 Xiao, Aiguo 16 Bhrawy, Ali Hassan 16 Cao, Wanrong 16 Jiang, Daqing 15 Băleanu, Dumitru I. 15 Ding, Xiaohua 15 Fu, Hongfei 15 Komori, Yoshio 15 Li, Xiaoli 15 Zheng, Xiangcheng 14 Brugnano, Luigi 14 Conte, Dajana 14 Hosseini, Seyed Mohammad 14 Li, Changpin 14 Lu, Shujuan 14 Sun, Haiwei 14 Weiner, Rüdiger 14 Zhao, Yanmin 14 Zhuang, Pinghui 13 Chen, Changming 13 Li, Shoufu 13 Mao, Xuerong 13 Wang, Yuanming 13 Xu, Da 13 Yin, Baoli 12 Debrabant, Kristian 12 Gu, Xian-Ming 12 Huang, Ting-Zhu 12 Khaliq, Abdul Q. M. 12 Ma, Qiang 12 Mohebbi, Akbar 12 van der Houwen, Pieter J. 12 Wang, Wansheng 12 Wen, Liping 11 Atangana, Abdon 11 Bu, Weiping 11 Cardone, Angelamaria 11 Chen, Shanzhen 11 González-Pinto, Severiano 11 Kvaerno, Anne 11 Liu, Zhengguang 11 Sidje, Roger B. 11 Spijker, Marc N. 11 Sun, Hongguang 11 Wang, Jinfeng 11 Wei, LeiLei 11 Yang, Qianqian 11 Zhao, Yongliang 10 Avazzadeh, Zakieh 10 Ding, Hengfei 10 Hairer, Ernst 10 Heydari, Mohammad Hossein 10 Qiao, Leijie 10 Wei, Ting 10 Zheng, Liancun 9 Fan, Zhencheng 9 Hong, Jialin 9 Huang, Jianfei 9 Hundsdorfer, Willem H. 9 Li, Meng 9 Li, Zhiyuan 9 Liu, Huan 9 Liu, Qun 9 Machado, José António Tenreiro 9 Mei, Liquan 9 Rui, Hongxing 9 Wang, Fenling 9 Wang, Yushun 9 Yu, Qiang 9 Zhang, Haixiang 8 Cai, Wenjun ...and 3,229 more Authors all top 5 Cited in 327 Serials 238 Journal of Computational and Applied Mathematics 206 Applied Numerical Mathematics 178 Computers & Mathematics with Applications 154 Applied Mathematics and Computation 122 Numerical Algorithms 113 Journal of Computational Physics 103 BIT 92 International Journal of Computer Mathematics 56 Journal of Scientific Computing 51 Communications in Nonlinear Science and Numerical Simulation 46 Mathematics and Computers in Simulation 43 Applied Mathematical Modelling 43 Computational and Applied Mathematics 40 SIAM Journal on Scientific Computing 40 Advances in Difference Equations 36 Numerische Mathematik 35 Numerical Methods for Partial Differential Equations 33 Chaos, Solitons and Fractals 32 Fractional Calculus & Applied Analysis 29 Applied Mathematics Letters 25 Computer Methods in Applied Mechanics and Engineering 25 Mathematical Methods in the Applied Sciences 23 SIAM Journal on Numerical Analysis 21 Mathematical Biosciences 21 Abstract and Applied Analysis 21 Journal of Applied Mathematics and Computing 20 Physica A 19 Computing 19 Engineering Analysis with Boundary Elements 19 Mathematical Problems in Engineering 17 Mathematics of Computation 15 Advances in Computational Mathematics 13 Advances in Mathematical Physics 13 Communications on Applied Mathematics and Computation 12 Bulletin of Mathematical Biology 12 Journal of Mathematical Chemistry 11 Calcolo 11 Stochastic Analysis and Applications 11 Nonlinear Dynamics 11 Discrete and Continuous Dynamical Systems. Series B 10 Computer Physics Communications 10 International Journal for Numerical Methods in Engineering 10 Advances in Applied Mathematics and Mechanics 10 International Journal of Applied and Computational Mathematics 9 Computers and Fluids 9 Fractals 9 Inverse Problems in Science and Engineering 9 BIT. Nordisk Tidskrift for Informationsbehandling 9 Journal of Theoretical Biology 8 Journal of Mathematical Analysis and Applications 8 Journal of Mathematical Biology 8 Numerical Linear Algebra with Applications 8 Discrete and Continuous Dynamical Systems. Series S 8 Journal of Applied Analysis and Computation 8 AIMS Mathematics 7 Numerical Functional Analysis and Optimization 7 Theoretical Computer Science 7 Journal of Computational Mathematics 7 Mathematical and Computer Modelling 7 Computational Mathematics and Mathematical Physics 7 Discrete Dynamics in Nature and Society 7 Computational Methods in Applied Mathematics 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 East Asian Journal on Applied Mathematics 7 Journal of Function Spaces 6 Computational Mechanics 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Complexity 6 Chaos 6 Journal of Applied Mathematics 6 Nonlinear Analysis. Hybrid Systems 6 Numerical Mathematics: Theory, Methods and Applications 6 Science China. Mathematics 5 Applicable Analysis 5 Journal of the Franklin Institute 5 Physica D 5 SIAM Journal on Matrix Analysis and Applications 5 Computational Statistics and Data Analysis 5 Taiwanese Journal of Mathematics 5 Multiscale Modeling & Simulation 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 5 Mathematical Modelling of Natural Phenomena 5 International Journal of Differential Equations 5 Computational Methods for Differential Equations 5 Electronic Research Archive 4 Journal of Mathematical Physics 4 Journal of Statistical Physics 4 SIAM Journal on Discrete Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Linear Algebra and its Applications 4 SIAM Journal on Applied Mathematics 4 Journal of Combinatorial Designs 4 Parallel Algorithms and Applications 4 Computing and Visualization in Science 4 Soft Computing 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Mathematical Modelling and Analysis 4 Differentsial’nye Uravneniya i Protsessy Upravleniya ...and 227 more Serials all top 5 Cited in 45 Fields 2,242 Numerical analysis (65-XX) 1,184 Partial differential equations (35-XX) 673 Ordinary differential equations (34-XX) 487 Probability theory and stochastic processes (60-XX) 339 Real functions (26-XX) 235 Biology and other natural sciences (92-XX) 187 Fluid mechanics (76-XX) 83 Dynamical systems and ergodic theory (37-XX) 76 Integral equations (45-XX) 75 Systems theory; control (93-XX) 63 Computer science (68-XX) 51 Approximations and expansions (41-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 44 Mechanics of deformable solids (74-XX) 43 Statistical mechanics, structure of matter (82-XX) 42 Operator theory (47-XX) 36 Special functions (33-XX) 35 Classical thermodynamics, heat transfer (80-XX) 30 Combinatorics (05-XX) 25 Statistics (62-XX) 25 Operations research, mathematical programming (90-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Optics, electromagnetic theory (78-XX) 18 Mechanics of particles and systems (70-XX) 17 Difference and functional equations (39-XX) 17 Quantum theory (81-XX) 15 Integral transforms, operational calculus (44-XX) 13 Geophysics (86-XX) 10 Information and communication theory, circuits (94-XX) 9 Functional analysis (46-XX) 8 History and biography (01-XX) 5 Number theory (11-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year