Edit Profile (opens in new tab) Burrage, Kevin Compute Distance To: Compute 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: 184 Publications since 1978, including 1 Book 3 Contributions as Editor Reviewing Activity: 270 Reviews Co-Authors: 135 Co-Authors with 162 Joint Publications 2,685 Co-Co-Authors all top 5 Co-Authors 24 single-authored 27 Liu, Fawang 22 Burrage, Pamela M. 21 Turner, Ian William 15 Tian, Tianhai 9 MacNamara, Shev F. 9 Sidje, Roger B. 7 Jackiewicz, Zdzislaw 7 Komori, Yoshio 6 Zeng, Fanhai 5 Anh, Vo V. 5 Chipman, F. H. 5 Pohl, Bert 4 Erhel, Jocelyne 4 Lesmono, Dharma 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 Bueno-Orovio, Alfonso 3 Butcher, John C. 3 Chen, Changming 3 Lythe, Grant 3 Suhartanto, Heru 3 Tonkes, E. J. 2 Altas, Irfan 2 Brugnano, Luigi 2 Carletti, Margherita 2 Chen, Jinghua 2 Chen, Luonan 2 Cusimano, Nicole 2 Dayan, Peter 2 Donovan, Diane M. 2 Goodhill, Geoffrey J. 2 Herdiana, R. 2 Hundsdorfer, Willem H. 2 Karniadakis, George Em 2 Kerr, Minnie 2 Lawson, Brodie A. J. 2 Mac, Shev 2 Mortimer, Duncan 2 Piskarëv, S. I. 2 Renaut, Rosemary Anne 2 Simpson, Matthew J. 2 Somathilake, Lekam Watte 2 Walmsley, John L. 2 Weber Dos Santos, Rodrigo 2 Yang, Qianqian 2 Yazıcı, Emine Şule 2 Zhang, Chengjian 1 Abdullah, Farah Aini 1 Ahn, Vo 1 Baker, Christopher Thomas Hale 1 Berg, Lucas A. 1 Browning, Alexander P. 1 Cameron, Ian T. 1 Cardone, Angelamaria 1 Carreras, Giulia 1 Cavenagh, Nicholas J. 1 Chan, Robert Peng Kong 1 Chen, Phoebe 1 Chen, Shiping 1 Christen, Peter 1 D’Ambrosio, Raffaele 1 Dangerfield, Ciara E. 1 Ding, Xiaohua 1 Duc, K. Dao 1 Dyke, Carolyn 1 Eldershaw, Craig 1 Eremin, Alexey S. 1 Estivill-Castro, Vladimir 1 Farquhar, Megan E. 1 Fellows, Michael Ralph 1 Feng, Libo 1 Fine, J. M. 1 Guo, Ling 1 Hale, Nicholas 1 Hamilton, Nicholas A. 1 Hanan, James 1 Hegland, Markus 1 Hertono, G. 1 Holcman, David 1 Jiang, Xiaoyun 1 Langston, Michael A. 1 Leier, André 1 Lenane, Ian 1 Li, Changpin 1 Liu, Qingxia 1 Mapder, Tarunendu 1 Marquez-Lago, Tatiana T. 1 Mayer, D. G. 1 McCourt, Thomas A. 1 McLean, William 1 Mirams, Gary R. 1 Mitsui, Taketomo 1 Moroney, Timothy J. 1 Moss, Pamela ...and 35 more Co-Authors all top 5 Serials 17 Journal of Computational and Applied Mathematics 13 BIT 13 Applied Numerical Mathematics 13 The ANZIAM Journal 12 SIAM Journal on Numerical Analysis 9 SIAM Journal on Scientific Computing 7 Computers & Mathematics with Applications 6 Numerical Algorithms 6 BIT. Nordisk Tidskrift for Informationsbehandling 6 Journal of Theoretical Biology 5 IMA Journal of Numerical Analysis 5 Journal of Computational Physics 5 Applied Mathematics and Computation 5 Advances in Computational Mathematics 4 Applied Mathematical Modelling 3 Annals of Numerical Mathematics 2 IMA Journal of Applied Mathematics 2 The Australian Mathematical Society Gazette 2 Physica D 2 SIAM Journal on Matrix Analysis and Applications 2 Communications in Nonlinear Science and Numerical Simulation 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 Numerical Methods for Partial Differential Equations 1 Journal of Scientific 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 145 Numerical analysis (65-XX) 65 Ordinary differential equations (34-XX) 51 Probability theory and stochastic processes (60-XX) 35 Partial differential equations (35-XX) 33 Biology and other natural sciences (92-XX) 11 Real functions (26-XX) 8 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-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 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-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 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-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 157 Publications have been cited 3,708 times in 2,416 Documents Cited by ▼ Year ▼ Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 264 2007 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 185 2014 Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin 142 2014 Stability criteria for implicit Runge-Kutta methods. Zbl 0396.65043Burrage, Kevin; Butcher, J. C. 127 1979 Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107Liu, F.; Yang, C.; Burrage, K. 123 2009 Non-linear stability of a general class of differential equation methods. Zbl 0431.65051Burrage, Kevin; Butcher, J. C. 111 1980 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124Liu, F.; Zhuang, P.; Burrage, K. 105 2012 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 105 2012 Parallel and sequential methods for ordinary differential equations. Zbl 0838.65073Burrage, Kevin 104 1995 Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057Chen, Chang-Ming; Liu, F.; Burrage, K. 89 2008 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 88 2014 Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300Jiang, H.; Liu, F.; Turner, I.; Burrage, K. 87 2012 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 84 2012 High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101Burrage, K.; Burrage, P. M. 80 1996 Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004Burrage, K.; Burrage, P. M.; Tian, T. 73 2004 A special family of Runge-Kutta methods for solving stiff differential equations. Zbl 0384.65034Burrage, Kevin 72 1978 Order conditions of stochastic Runge–Kutta methods by B-series. Zbl 0983.65006Burrage, K.; Burrage, P. M. 69 2000 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 68 2015 An implementation of singly-implicit Runge-Kutta methods. Zbl 0456.65040Burrage, K.; Butcher, J. C.; Chipman, F. H. 60 1980 Restarted GMRES preconditioned by deflation. Zbl 0854.65025Erhel, Jocelyne; Burrage, Kevin; Pohl, Bert 57 1996 Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita 53 2007 Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114Liu, F.; Burrage, K. 44 2011 Numerical solutions of stochastic differential equations – implementation and stability issues. Zbl 0971.65003Burrage, Kevin; Burrage, Pamela; Mitsui, Takemoto 43 2000 Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007Tian, Tianhai; Burrage, Kevin 42 2001 High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula. Zbl 1194.65023Burrage, K.; Burrage, P. M. 41 1999 A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047Zeng, Fanhai; Turner, Ian; Burrage, Kevin 41 2018 Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035Turner, T. E.; Schnell, S.; Burrage, K. 40 2004 Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005Carletti, M.; Burrage, K.; Burrage, P. M. 39 2004 A study of B-convergence of Runge-Kutta methods. Zbl 0572.65053Burrage, K.; Hundsdorfer, W. H.; Verwer, J. G. 38 1986 A note on the balanced method. Zbl 1116.65004Alcock, Jamie; Burrage, Kevin 34 2006 A variable stepsize implementation for stochastic differential equations. Zbl 1034.65003Burrage, P. M.; Burrage, K. 32 2002 The composite Euler method for stiff stochastic differential equations. Zbl 0987.65009Burrage, Kevin; Tian, Tianhai 31 2001 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 31 2016 Numerical methods for second-order stochastic differential equations. Zbl 1144.65004Burrage, Kevin; Lenane, Ian; Lythe, Grant 30 2007 General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems. Zbl 0924.65146Burrage, K.; Burrage, P. M. 30 1998 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 29 2008 A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 29 2012 Two-stage and three-stage diagonally implicit Runge-Kutta Nyström methods of orders three and four. Zbl 0711.65057Sharp, P. W.; Fine, J. M.; Burrage, K. 27 1990 The undirected feedback vertex set problem has a Poly\((k)\) kernel. Zbl 1154.68421Burrage, Kevin; Estivill-Castro, Vladimir; Fellows, Michael; Langston, Michael; Mac, Shev; Rosamond, Frances 24 2006 On the performance of various adaptive preconditioned GMRES strategies. Zbl 0937.65036Burrage, K.; Erhel, J. 23 1998 Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007Burrage, Kevin; Burrage, Pamela M. 23 2012 Implicit stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1048.65005Burrage, Kevin; Tian, Tianhai 22 2004 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105Chen, S.; Liu, F.; Burrage, K. 22 2014 Numerical solution of time fractional diffusion systems. Zbl 1372.65228Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 22 2017 Parallel methods for initial value problems. Zbl 0781.65060Burrage, Kevin 22 1993 Efficient block predictor-corrector methods with a small number of corrections. Zbl 0782.65088Burrage, Kevin 22 1993 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 22 2013 Efficiently implementable algebraically stable Runge-Kutta methods. Zbl 0483.65040Burrage, Kevin 21 1982 Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017Burrage, Pamela M.; Burrage, Kevin 20 2014 Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103Chen, Chang-Ming; Liu, F.; Burrage, K. 19 2011 High order algebraically stable multistep Runge-Kutta methods. Zbl 0611.65046Burrage, K. 18 1987 Runge-Kutta methods for stochastic differential equations. Zbl 0824.65148Burrage, K.; Platen, E. 18 1994 Adams-type methods for the numerical solution of stochastic ordinary differential equations. Zbl 0963.65004Brugnano, L.; Burrage, K.; Burrage, P. M. 18 2000 Order properties of implicit multivalue methods for ordinary differential equations. Zbl 0637.65066Burrage, Kevin 18 1988 Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev 17 2007 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319Chen, S.; Liu, F.; Burrage, K. 17 2014 A Jacobi waveform relaxation method for ODEs. Zbl 0923.65045Sand, J.; Burrage, K. 16 1999 A note on the stability properties of the Euler methods for solving stochastic differential equations. Zbl 0980.60083Burrage, Kevin; Tian, Tianhai 15 2000 Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002Tian, T. H.; Burrage, K. 15 2002 Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y. 14 2013 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 14 2014 A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations. Zbl 0811.65113Altas, Irfan; Burrage, Kevin 14 1994 Adaptive stepsize based on control theory for stochastic differential equations. Zbl 1049.65009Burrage, P. M.; Herdiana, R.; Burrage, K. 14 2004 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 14 2014 An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin 13 2021 Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203Liu, F.; Burrage, K.; Hamilton, N. A. 13 2013 High order algebraically stable Runge-Kutta methods. Zbl 0401.65049Burrage, Kevin 13 1978 Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007Komori, Yoshio; Burrage, Kevin 13 2013 The order of B-convergence of algebraically stable Runge-Kutta methods. Zbl 0629.65075Burrage, K.; Hundsdorfer, W. H. 13 1987 A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011Komori, Yoshio; Burrage, Kevin 13 2014 Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Zbl 1390.65093Yang, Qianqian; Moroney, Tim; Burrage, Kevin; Turner, Ian; Liu, Fawang 12 2010 Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068Burrage, Kevin; Lythe, Grant 12 2009 A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. Zbl 1255.65019Dangerfield, C. E.; Kay, D.; MacNamara, S.; Burrage, K. 12 2012 A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0890.65146Burrage, K.; Burrage, P. M.; Belward, J. A. 12 1997 A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin 11 2012 Order results for mono-implicit Runge-Kutta methods. Zbl 0809.65080Burrage, K.; Chipman, F. H.; Muir, P. H. 11 1994 Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075Burrage, Kevin; Tian, Tianhai 11 2002 Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A. 11 1996 Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 11 2019 A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 11 2018 The error behaviour of a general class of predictor-corrector methods. Zbl 0743.65064Burrage, Kevin 10 1991 A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie 10 2002 The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs. Zbl 0787.65048Burrage, Kevin 10 1993 Parallel iterated methods based on multistep Runge-Kutta methods of Radau type. Zbl 0884.65080Burrage, K.; Suhartanto, H. 10 1997 Simplifying assumptions for the order of partitioned multivalue methods. Zbl 0477.65051Burrage, Kevin; Moss, Pamela 9 1980 On the performance of parallel waveform relaxations for differential systems. Zbl 0855.65074Burrage, Kevin; Dyke, Carolyn; Pohl, Bert 9 1996 Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063Komori, Yoshio; Burrage, Kevin 9 2012 Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations. Zbl 0991.65005Burrage, Kevin; Tian, Tianhai 9 2001 Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J. 9 2017 Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. Zbl 1387.65064Komori, Yoshio; Cohen, David; Burrage, Kevin 9 2017 A deflation technique for linear systems of equations. Zbl 0914.65025Burrage, K.; Erhel, J.; Pohl, B.; Williams, A. 8 1998 The use of a Riesz fractional differential-based approach for texture enhancement in image processing. Zbl 1386.94018Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor 7 2012 Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002Alcock, Jamie; Burrage, Kevin 7 2012 Stability and efficiency properties of implicit Runge-Kutta methods. Zbl 0388.65036Burrage, Kevin 7 1978 On smoothing and order reduction effects for implicit Runge-Kutta formulae. Zbl 0802.65088Burrage, Kevin; Chan, R. P. K. 7 1993 The performance of preconditioned waveform relaxation techniques for pseudospectral methods. Zbl 0863.65063Burrage, K.; Jackiewicz, Z.; Renaut, R. A. 6 1996 A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Zbl 1429.62362Alcock, Jamie; Burrage, Kevin 6 2004 The stability properties of singly-implicit general linear methods. Zbl 0578.65067Burrage, K.; Chipman, F. H. 6 1985 Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. Zbl 1218.65011Komori, Yoshio; Burrage, Kevin 5 2011 On order reduction for Runge-Kutta methods applied to differential/algebraic systems and to stiff systems of ODEs. Zbl 0708.65069Burrage, Kevin; Petzold, Linda 5 1990 An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin 13 2021 A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Zbl 1482.65013Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Burrage, Pamela; Ding, Xiaohua 1 2021 Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \). Zbl 1435.05040Burrage, Kevin; Donovan, Diane M.; Cavenagh, Nicholas J.; Yazıcı, Emine Ş. 4 2020 Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 11 2019 S-ROCK methods for stochastic delay differential equations with one fixed delay. Zbl 1417.65023Komori, Yoshio; Eremin, Alexey; Burrage, Kevin 4 2019 Optimal control of acute myeloid leukaemia. Zbl 1411.92149Sharp, Jesse A.; Browning, Alexander P.; Mapder, Tarunendu; Burrage, Kevin; Simpson, Matthew J. 1 2019 Wider contours and adaptive contours. Zbl 07075714MacNamara, Shev; McLean, William; Burrage, Kevin 1 2019 A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047Zeng, Fanhai; Turner, Ian; Burrage, Kevin 41 2018 A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em 11 2018 A space-fractional-reaction-diffusion model for pattern formation in coral reefs. Zbl 1426.92007Somathilake, Lekam Watte; Burrage, Kevin 3 2018 Novel analytical and numerical techniques for fractional temporal SEIR measles model. Zbl 1402.92379Abdullah, 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 1480.62158Donovan, D.; Burrage, Kevin; Burrage, Pamela; McCourt, T. A.; Thompson, B.; Yazici, E. Ş. 2 2018 Numerical solution of time fractional diffusion systems. Zbl 1372.65228Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 22 2017 Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J. 9 2017 Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. Zbl 1387.65064Komori, Yoshio; Cohen, David; Burrage, Kevin 9 2017 Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Zbl 07261219Bueno-Orovio, Alfonso; Burrage, Kevin 3 2017 On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique. Zbl 1443.35166Cusimano, Nicole; Burrage, Kevin; Turner, I.; Kay, David 2 2017 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 31 2016 Modelling biochemical reaction systems by stochastic differential equations with reflection. Zbl 1343.92165Niu, Yuanling; Burrage, Kevin; Chen, Luonan 5 2016 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 68 2015 Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin 5 2015 Application of stochastic phenomenological modelling to cell-to-cell and beat-to-beat electrophysiological variability in cardiac tissue. Zbl 1314.92044Walmsley, John; Mirams, Gary R.; Pitt-Francis, Joe; Rodriguez, Blanca; Burrage, Kevin 1 2015 Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Zbl 1350.92018Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K. 1 2015 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 185 2014 Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin 142 2014 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 88 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105Chen, S.; Liu, F.; Burrage, K. 22 2014 Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017Burrage, Pamela M.; Burrage, Kevin 20 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319Chen, S.; Liu, F.; Burrage, K. 17 2014 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 14 2014 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 14 2014 A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011Komori, Yoshio; Burrage, Kevin 13 2014 Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations. Zbl 1315.65007Burrage, Kevin; Lythe, Grant 1 2014 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 22 2013 Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y. 14 2013 Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203Liu, F.; Burrage, K.; Hamilton, N. A. 13 2013 Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007Komori, Yoshio; Burrage, Kevin 13 2013 A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. Zbl 1288.65010Niu, Yuanling; Burrage, Kevin; Zhang, Chengjian 4 2013 Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043Chen, J.; Liu, F.; Burrage, K.; Shen, S. 3 2013 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124Liu, F.; Zhuang, P.; Burrage, K. 105 2012 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 105 2012 Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300Jiang, H.; Liu, F.; Turner, I.; Burrage, K. 87 2012 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 84 2012 A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 29 2012 Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007Burrage, Kevin; Burrage, Pamela M. 23 2012 A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. Zbl 1255.65019Dangerfield, C. E.; Kay, D.; MacNamara, S.; Burrage, K. 12 2012 A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin 11 2012 Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063Komori, Yoshio; Burrage, Kevin 9 2012 The use of a Riesz fractional differential-based approach for texture enhancement in image processing. Zbl 1386.94018Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor 7 2012 Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002Alcock, Jamie; Burrage, Kevin 7 2012 Fractional models for the migration of biological cells in complex spatial domains. Zbl 1387.92013Cusimano, Nicole; Burrage, Kevin; Burrage, Pamela 1 2012 Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114Liu, F.; Burrage, K. 44 2011 Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103Chen, Chang-Ming; Liu, F.; Burrage, K. 19 2011 Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. Zbl 1218.65011Komori, Yoshio; Burrage, Kevin 5 2011 Bayes-optimal chemotaxis. Zbl 1208.92008Mortimer, Duncan; Dayan, Peter; Burrage, Kevin; Goodhill, Geoffrey J. 2 2011 Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Zbl 1390.65093Yang, Qianqian; Moroney, Tim; Burrage, Kevin; Turner, Ian; Liu, Fawang 12 2010 Optimizing chemotaxis by measuring unbound-bound transitions. Zbl 1186.92011Mortimer, 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 1211.92017MacNamara, Shev; Burrage, Kevin 2 2010 Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107Liu, F.; Yang, C.; Burrage, K. 123 2009 Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068Burrage, Kevin; Lythe, Grant 12 2009 Spectral approximation of time windows in the solution of dissipative linear differential equations. Zbl 1195.65091Burrage, 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 1165.92019MacNamara, Shev; Burrage, Kevin 3 2009 Opportunistic timing and manipulation in Australian federal elections. Zbl 1157.91331Lesmono, Dharma; Tonkes, Elliot; Burrage, Kevin 2 2009 Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057Chen, Chang-Ming; Liu, F.; Burrage, K. 89 2008 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 29 2008 Fast generalized cross validation using Krylov subspace methods. Zbl 1157.65012Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin 3 2008 Stochastic simulation of chemical reactions in spatially complex media. Zbl 1137.92015Nicolau, Dan V. jun.; Burrage, Kevin 3 2008 Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation. Zbl 1142.92002Rudge, Tim; Burrage, Kevin 2 2008 A note on the existence and uniqueness of a bounded mean-reverting prosess. Zbl 1214.60025Lesmono, 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 1193.76093Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 264 2007 Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita 53 2007 Numerical methods for second-order stochastic differential equations. Zbl 1144.65004Burrage, Kevin; Lenane, Ian; Lythe, Grant 30 2007 Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev 17 2007 An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications. Zbl 1334.92475MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B. 2 2007 A note on the balanced method. Zbl 1116.65004Alcock, Jamie; Burrage, Kevin 34 2006 The undirected feedback vertex set problem has a Poly\((k)\) kernel. Zbl 1154.68421Burrage, Kevin; Estivill-Castro, Vladimir; Fellows, Michael; Langston, Michael; Mac, Shev; Rosamond, Frances 24 2006 Accelerated leap methods for simulating discrete stochastic chemical kinetics. Zbl 1132.93345Burrage, Kevin; Mac, Shev; Tian, Tianhai 3 2006 QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. Zbl 1081.65040Sidje, Roger B.; Burrage, K. 2 2005 A continuous time model for election timing. Zbl 1183.91044Lesmono, D.; Tonkes, E. J.; Burrage, K. 1 2005 Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004Burrage, K.; Burrage, P. M.; Tian, T. 73 2004 Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035Turner, T. E.; Schnell, S.; Burrage, K. 40 2004 Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005Carletti, M.; Burrage, K.; Burrage, P. M. 39 2004 Implicit stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1048.65005Burrage, Kevin; Tian, Tianhai 22 2004 Adaptive stepsize based on control theory for stochastic differential equations. Zbl 1049.65009Burrage, P. M.; Herdiana, R.; Burrage, K. 14 2004 A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Zbl 1429.62362Alcock, Jamie; Burrage, Kevin 6 2004 Bistability and switching in the lysis/lysogeny genetic regulatory network of bacteriophage \(\lambda\). Zbl 1439.92096Tian, Tianhai; Burrage, Kevin 2 2004 An early political election problem. Zbl 1097.91070Lesmono, D.; Tonkes, E. J.; Burrage, K. 2 2004 On the convergence of LMF-type methods for SODEs. Zbl 1167.65321Carreras, Giulia; Brugnano, Luigi; Burrage, Kevin 1 2004 Convergence of the parallel chaotic waveform relaxation method for stiff systems. Zbl 1016.65058Yuan, Dongjin; Burrage, Kevin 2 2003 Accuracy issues of Monte-Carlo methods for valuing American options. Zbl 1123.91326Tian, Tianhai; Burrage, Kevin 2 2003 A variable stepsize implementation for stochastic differential equations. Zbl 1034.65003Burrage, P. M.; Burrage, K. 32 2002 Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002Tian, T. H.; Burrage, K. 15 2002 Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075Burrage, Kevin; Tian, Tianhai 11 2002 A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie 10 2002 New multivalue methods for differential algebraic equations. Zbl 1055.65101Kerr, Minnie; Burrage, Kevin 1 2002 Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007Tian, Tianhai; Burrage, Kevin 42 2001 The composite Euler method for stiff stochastic differential equations. Zbl 0987.65009Burrage, Kevin; Tian, Tianhai 31 2001 Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations. Zbl 0991.65005Burrage, Kevin; Tian, Tianhai 9 2001 Acceleration of convergence of static and dynamic iterations. Zbl 0992.65077Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D. 1 2001 Order conditions of stochastic Runge–Kutta methods by B-series. Zbl 0983.65006Burrage, K.; Burrage, P. M. 69 2000 ...and 57 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,852 Authors 120 Liu, Fawang 82 Burrage, Kevin 69 Turner, Ian William 47 Anh, Vo V. 35 Jiang, Xiaoyun 31 Dehghan Takht Fooladi, Mehdi 29 Abbaszadeh, Mostafa 27 D’Ambrosio, Raffaele 25 Huang, Chengming 24 Butcher, John C. 24 Wang, Hong 22 Li, Hong 22 Liu, Yang 21 Jackiewicz, Zdzislaw 21 Paternoster, Beatrice 21 Zeng, Fanhai 21 Zhang, Chengjian 20 Gan, Siqing 20 Owolabi, Kolade Matthew 20 Rößler, Andreas 18 Tang, Yifa 17 Cong, Nguyen Huu 17 Feng, Libo 17 Sun, Zhizhong 17 Zaky, Mahmoud A. 16 Bhrawy, Ali Hassan 16 Jiang, Daqing 16 Xiao, Aiguo 14 Brugnano, Luigi 14 Burrage, Pamela M. 14 Cao, Wanrong 14 Fu, Hongfei 14 Hosseini, Seyed Mohammad 14 Karniadakis, George Em 14 Weiner, Rüdiger 13 Băleanu, Dumitru I. 13 Chen, Changming 13 Ding, Xiaohua 13 Li, Changpin 13 Li, Xiaoli 13 Sun, Haiwei 13 Zhuang, Pinghui 12 Conte, Dajana 12 Debrabant, Kristian 12 Hendy, Ahmed S. 12 Li, Shoufu 12 Ma, Qiang 12 Macías-Díaz, Jorge Eduardo 12 Mohebbi, Akbar 12 van der Houwen, Pieter J. 12 Wang, Yuanming 12 Wen, Liping 12 Zheng, Xiangcheng 11 Huang, Ting-Zhu 11 Khaliq, Abdul Q. M. 11 Komori, Yoshio 11 Kvaerno, Anne 11 Lu, Shujuan 11 Mao, Xuerong 11 Sidje, Roger B. 11 Spijker, Marc N. 11 Sun, Hongguang 11 Yang, Qianqian 10 Atangana, Abdon 10 Bu, Weiping 10 González-Pinto, Severiano 10 Gu, Xian-Ming 10 Hairer, Ernst 10 Xu, Da 9 Cardone, Angelamaria 9 Chen, Shanzhen 9 Ding, Hengfei 9 Fan, Zhencheng 9 Hong, Jialin 9 Hundsdorfer, Willem H. 9 Liu, Qun 9 Liu, Zhengguang 9 Tocino, Alicia 9 Wang, Wansheng 9 Wei, LeiLei 9 Yin, Baoli 9 Zhao, Yanmin 9 Zhao, Yongliang 9 Zheng, Liancun 8 Avazzadeh, Zakieh 8 Deng, Weihua 8 Huang, Jianfei 8 Jiang, Yaolin 8 Li, Gongsheng 8 Liu, Huan 8 Mei, Liquan 8 Nie, Yufeng 8 Rui, Hongxing 8 Sandu, Adrian 8 Schneid, Josef 8 Sommeijer, Ben P. 8 Vabishchevich, Pëtr Nikolaevich 8 Wu, Fuke 8 Yu, Qiang 8 Yu, Yuexin ...and 2,752 more Authors all top 5 Cited in 299 Serials 220 Journal of Computational and Applied Mathematics 189 Applied Numerical Mathematics 149 Applied Mathematics and Computation 146 Computers & Mathematics with Applications 111 Numerical Algorithms 99 BIT 98 Journal of Computational Physics 80 International Journal of Computer Mathematics 48 Journal of Scientific Computing 39 Advances in Difference Equations 38 Applied Mathematical Modelling 38 Communications in Nonlinear Science and Numerical Simulation 36 SIAM Journal on Scientific Computing 35 Numerische Mathematik 34 Mathematics and Computers in Simulation 34 Computational and Applied Mathematics 28 Chaos, Solitons and Fractals 28 Applied Mathematics Letters 25 Fractional Calculus & Applied Analysis 21 Computer Methods in Applied Mechanics and Engineering 21 Abstract and Applied Analysis 19 Computing 19 SIAM Journal on Numerical Analysis 18 Mathematical Biosciences 18 Physica A 18 Mathematical Problems in Engineering 18 Journal of Applied Mathematics and Computing 17 Engineering Analysis with Boundary Elements 16 Mathematics of Computation 13 Mathematical Methods in the Applied Sciences 13 Advances in Computational Mathematics 12 Advances in Mathematical Physics 12 Communications on Applied Mathematics and Computation 11 Bulletin of Mathematical Biology 11 Stochastic Analysis and Applications 10 Journal of Mathematical Chemistry 10 Advances in Applied Mathematics and Mechanics 10 International Journal of Applied and Computational Mathematics 9 International Journal for Numerical Methods in Engineering 9 Numerical Methods for Partial Differential Equations 9 BIT. Nordisk Tidskrift for Informationsbehandling 9 Journal of Theoretical Biology 8 Computers and Fluids 8 Journal of Mathematical Biology 8 Calcolo 8 Numerical Linear Algebra with Applications 8 Discrete and Continuous Dynamical Systems. Series B 8 Inverse Problems in Science and Engineering 8 Journal of Applied Analysis and Computation 7 Journal of Mathematical Analysis and Applications 7 Numerical Functional Analysis and Optimization 7 Theoretical Computer Science 7 Mathematical and Computer Modelling 7 Computational Mathematics and Mathematical Physics 7 Fractals 7 Discrete Dynamics in Nature and Society 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Discrete and Continuous Dynamical Systems. Series S 7 East Asian Journal on Applied Mathematics 7 Journal of Function Spaces 7 AIMS Mathematics 6 Computer Physics Communications 6 Computational Mechanics 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Complexity 6 Nonlinear Dynamics 6 Chaos 6 Science China. Mathematics 5 Journal of the Franklin Institute 5 Computational Statistics and Data Analysis 5 Taiwanese Journal of Mathematics 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics 5 Multiscale Modeling & Simulation 5 Boundary Value Problems 5 Nonlinear Analysis. Hybrid Systems 5 International Journal of Differential Equations 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Journal of Statistical Physics 4 SIAM Journal on Discrete Mathematics 4 SIAM Journal on Matrix Analysis and Applications 4 Japan Journal of Industrial and Applied Mathematics 4 Linear Algebra and its Applications 4 SIAM Journal on Applied Mathematics 4 Parallel Algorithms and Applications 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Computational Biology and Chemistry 4 Mediterranean Journal of Mathematics 4 International Journal of Numerical Analysis and Modeling 4 Mathematical Biosciences and Engineering 4 Mathematical Modelling of Natural Phenomena 4 Numerical Mathematics: Theory, Methods and Applications 4 Axioms 3 Discrete Mathematics 3 Automatica 3 Journal of Optimization Theory and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 Neural Computation 3 Journal of Vibration and Control ...and 199 more Serials all top 5 Cited in 42 Fields 1,936 Numerical analysis (65-XX) 940 Partial differential equations (35-XX) 640 Ordinary differential equations (34-XX) 426 Probability theory and stochastic processes (60-XX) 248 Real functions (26-XX) 204 Biology and other natural sciences (92-XX) 164 Fluid mechanics (76-XX) 73 Integral equations (45-XX) 70 Dynamical systems and ergodic theory (37-XX) 70 Systems theory; control (93-XX) 52 Computer science (68-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Approximations and expansions (41-XX) 39 Operator theory (47-XX) 38 Mechanics of deformable solids (74-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Classical thermodynamics, heat transfer (80-XX) 29 Special functions (33-XX) 21 Operations research, mathematical programming (90-XX) 20 Combinatorics (05-XX) 20 Statistics (62-XX) 19 Optics, electromagnetic theory (78-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Mechanics of particles and systems (70-XX) 15 Quantum theory (81-XX) 14 Difference and functional equations (39-XX) 14 Integral transforms, operational calculus (44-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 Geophysics (86-XX) 8 History and biography (01-XX) 8 Functional analysis (46-XX) 8 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year