×
Compute Distance To:
Author ID: burrage.kevin Recent zbMATH articles by "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

Publications by Year

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 1193.76093
Liu, 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 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
185
2014
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
142
2014
Stability criteria for implicit Runge-Kutta methods. Zbl 0396.65043
Burrage, Kevin; Butcher, J. C.
127
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.
123
2009
Non-linear stability of a general class of differential equation methods. Zbl 0431.65051
Burrage, Kevin; Butcher, J. C.
111
1980
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
105
2012
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
105
2012
Parallel and sequential methods for ordinary differential equations. Zbl 0838.65073
Burrage, Kevin
104
1995
Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057
Chen, Chang-Ming; Liu, F.; Burrage, K.
89
2008
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.
88
2014
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.
87
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.
84
2012
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
80
1996
Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004
Burrage, K.; Burrage, P. M.; Tian, T.
73
2004
A special family of Runge-Kutta methods for solving stiff differential equations. Zbl 0384.65034
Burrage, Kevin
72
1978
Order conditions of stochastic Runge–Kutta methods by B-series. Zbl 0983.65006
Burrage, 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 1349.65316
Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K.
68
2015
An implementation of singly-implicit Runge-Kutta methods. Zbl 0456.65040
Burrage, K.; Butcher, J. C.; Chipman, F. H.
60
1980
Restarted GMRES preconditioned by deflation. Zbl 0854.65025
Erhel, Jocelyne; Burrage, Kevin; Pohl, Bert
57
1996
Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029
Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita
53
2007
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114
Liu, F.; Burrage, K.
44
2011
Numerical solutions of stochastic differential equations – implementation and stability issues. Zbl 0971.65003
Burrage, Kevin; Burrage, Pamela; Mitsui, Takemoto
43
2000
Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007
Tian, Tianhai; Burrage, Kevin
42
2001
High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula. Zbl 1194.65023
Burrage, K.; Burrage, P. M.
41
1999
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
41
2018
Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035
Turner, T. E.; Schnell, S.; Burrage, K.
40
2004
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005
Carletti, M.; Burrage, K.; Burrage, P. M.
39
2004
A study of B-convergence of Runge-Kutta methods. Zbl 0572.65053
Burrage, K.; Hundsdorfer, W. H.; Verwer, J. G.
38
1986
A note on the balanced method. Zbl 1116.65004
Alcock, Jamie; Burrage, Kevin
34
2006
A variable stepsize implementation for stochastic differential equations. Zbl 1034.65003
Burrage, P. M.; Burrage, K.
32
2002
The composite Euler method for stiff stochastic differential equations. Zbl 0987.65009
Burrage, 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 1382.65290
Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin
31
2016
Numerical methods for second-order stochastic differential equations. Zbl 1144.65004
Burrage, 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 0924.65146
Burrage, K.; Burrage, P. M.
30
1998
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, 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 1311.65114
Yu, 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 0711.65057
Sharp, P. W.; Fine, J. M.; Burrage, K.
27
1990
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
24
2006
On the performance of various adaptive preconditioned GMRES strategies. Zbl 0937.65036
Burrage, K.; Erhel, J.
23
1998
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007
Burrage, Kevin; Burrage, Pamela M.
23
2012
Implicit stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1048.65005
Burrage, Kevin; Tian, Tianhai
22
2004
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.
22
2014
Numerical solution of time fractional diffusion systems. Zbl 1372.65228
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
22
2017
Parallel methods for initial value problems. Zbl 0781.65060
Burrage, Kevin
22
1993
Efficient block predictor-corrector methods with a small number of corrections. Zbl 0782.65088
Burrage, Kevin
22
1993
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
22
2013
Efficiently implementable algebraically stable Runge-Kutta methods. Zbl 0483.65040
Burrage, Kevin
21
1982
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017
Burrage, Pamela M.; Burrage, Kevin
20
2014
Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103
Chen, Chang-Ming; Liu, F.; Burrage, K.
19
2011
High order algebraically stable multistep Runge-Kutta methods. Zbl 0611.65046
Burrage, K.
18
1987
Runge-Kutta methods for stochastic differential equations. Zbl 0824.65148
Burrage, K.; Platen, E.
18
1994
Adams-type methods for the numerical solution of stochastic ordinary differential equations. Zbl 0963.65004
Brugnano, L.; Burrage, K.; Burrage, P. M.
18
2000
Order properties of implicit multivalue methods for ordinary differential equations. Zbl 0637.65066
Burrage, Kevin
18
1988
Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300
Sidje, 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 1362.35319
Chen, S.; Liu, F.; Burrage, K.
17
2014
A Jacobi waveform relaxation method for ODEs. Zbl 0923.65045
Sand, J.; Burrage, K.
16
1999
A note on the stability properties of the Euler methods for solving stochastic differential equations. Zbl 0980.60083
Burrage, Kevin; Tian, Tianhai
15
2000
Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002
Tian, 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 1330.76092
Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y.
14
2013
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
14
2014
A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations. Zbl 0811.65113
Altas, Irfan; Burrage, Kevin
14
1994
Adaptive stepsize based on control theory for stochastic differential equations. Zbl 1049.65009
Burrage, P. M.; Herdiana, R.; Burrage, K.
14
2004
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.
14
2014
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
13
2021
Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203
Liu, F.; Burrage, K.; Hamilton, N. A.
13
2013
High order algebraically stable Runge-Kutta methods. Zbl 0401.65049
Burrage, Kevin
13
1978
Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007
Komori, Yoshio; Burrage, Kevin
13
2013
The order of B-convergence of algebraically stable Runge-Kutta methods. Zbl 0629.65075
Burrage, K.; Hundsdorfer, W. H.
13
1987
A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011
Komori, Yoshio; Burrage, Kevin
13
2014
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
Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068
Burrage, Kevin; Lythe, Grant
12
2009
A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. Zbl 1255.65019
Dangerfield, 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 0890.65146
Burrage, K.; Burrage, P. M.; Belward, J. A.
12
1997
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
11
2012
Order results for mono-implicit Runge-Kutta methods. Zbl 0809.65080
Burrage, K.; Chipman, F. H.; Muir, P. H.
11
1994
Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075
Burrage, Kevin; Tian, Tianhai
11
2002
Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049
Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A.
11
1996
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, 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 1404.65105
Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
11
2018
The error behaviour of a general class of predictor-corrector methods. Zbl 0743.65064
Burrage, Kevin
10
1991
A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088
Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie
10
2002
The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs. Zbl 0787.65048
Burrage, Kevin
10
1993
Parallel iterated methods based on multistep Runge-Kutta methods of Radau type. Zbl 0884.65080
Burrage, K.; Suhartanto, H.
10
1997
Simplifying assumptions for the order of partitioned multivalue methods. Zbl 0477.65051
Burrage, Kevin; Moss, Pamela
9
1980
On the performance of parallel waveform relaxations for differential systems. Zbl 0855.65074
Burrage, Kevin; Dyke, Carolyn; Pohl, Bert
9
1996
Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063
Komori, Yoshio; Burrage, Kevin
9
2012
Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations. Zbl 0991.65005
Burrage, Kevin; Tian, Tianhai
9
2001
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.
9
2017
Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. Zbl 1387.65064
Komori, Yoshio; Cohen, David; Burrage, Kevin
9
2017
A deflation technique for linear systems of equations. Zbl 0914.65025
Burrage, 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 1386.94018
Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor
7
2012
Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002
Alcock, Jamie; Burrage, Kevin
7
2012
Stability and efficiency properties of implicit Runge-Kutta methods. Zbl 0388.65036
Burrage, Kevin
7
1978
On smoothing and order reduction effects for implicit Runge-Kutta formulae. Zbl 0802.65088
Burrage, Kevin; Chan, R. P. K.
7
1993
The performance of preconditioned waveform relaxation techniques for pseudospectral methods. Zbl 0863.65063
Burrage, K.; Jackiewicz, Z.; Renaut, R. A.
6
1996
A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Zbl 1429.62362
Alcock, Jamie; Burrage, Kevin
6
2004
The stability properties of singly-implicit general linear methods. Zbl 0578.65067
Burrage, K.; Chipman, F. H.
6
1985
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
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
5
1990
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
13
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
1
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.
4
2020
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, 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 1417.65023
Komori, Yoshio; Eremin, Alexey; Burrage, Kevin
4
2019
Optimal control of acute myeloid leukaemia. Zbl 1411.92149
Sharp, Jesse A.; Browning, Alexander P.; Mapder, Tarunendu; Burrage, Kevin; Simpson, Matthew J.
1
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
41
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
11
2018
A space-fractional-reaction-diffusion model for pattern formation in coral reefs. Zbl 1426.92007
Somathilake, Lekam Watte; Burrage, Kevin
3
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.
2
2018
Numerical solution of time fractional diffusion systems. Zbl 1372.65228
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
22
2017
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205
Zheng, 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 1387.65064
Komori, Yoshio; Cohen, David; Burrage, Kevin
9
2017
Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Zbl 07261219
Bueno-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 1443.35166
Cusimano, 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 1382.65290
Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin
31
2016
Modelling biochemical reaction systems by stochastic differential equations with reflection. Zbl 1343.92165
Niu, 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 1349.65316
Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K.
68
2015
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, 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 1314.92044
Walmsley, 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 1350.92018
Holcman, 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 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
185
2014
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
142
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.
88
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.
22
2014
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Zbl 1291.65017
Burrage, Pamela M.; Burrage, Kevin
20
2014
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319
Chen, S.; Liu, F.; Burrage, K.
17
2014
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
14
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.
14
2014
A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. Zbl 1307.65011
Komori, Yoshio; Burrage, Kevin
13
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
22
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.
14
2013
Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203
Liu, F.; Burrage, K.; Hamilton, N. A.
13
2013
Strong first order \(S\)-ROCK methods for stochastic differential equations. Zbl 1258.65007
Komori, Yoshio; Burrage, Kevin
13
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
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
105
2012
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, 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 1234.35300
Jiang, 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 1268.35124
Jiang, 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 1311.65114
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
29
2012
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Zbl 1245.65007
Burrage, Kevin; Burrage, Pamela M.
23
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.
12
2012
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
11
2012
Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Zbl 1238.60063
Komori, Yoshio; Burrage, Kevin
9
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
7
2012
Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. Zbl 1259.65002
Alcock, Jamie; Burrage, Kevin
7
2012
Fractional models for the migration of biological cells in complex spatial domains. Zbl 1387.92013
Cusimano, Nicole; Burrage, Kevin; Burrage, Pamela
1
2012
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114
Liu, F.; Burrage, K.
44
2011
Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103
Chen, 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 1218.65011
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
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.
123
2009
Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Zbl 1197.60068
Burrage, Kevin; Lythe, Grant
12
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.
89
2008
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B.
29
2008
Fast generalized cross validation using Krylov subspace methods. Zbl 1157.65012
Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin
3
2008
Stochastic simulation of chemical reactions in spatially complex media. Zbl 1137.92015
Nicolau, Dan V. jun.; Burrage, Kevin
3
2008
Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation. Zbl 1142.92002
Rudge, Tim; Burrage, Kevin
2
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.
264
2007
Stochastic delay differential equations for genetic regulatory networks. Zbl 1112.92029
Tian, Tianhai; Burrage, Kevin; Burrage, Pamela M.; Carletti, Margherita
53
2007
Numerical methods for second-order stochastic differential equations. Zbl 1144.65004
Burrage, Kevin; Lenane, Ian; Lythe, Grant
30
2007
Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300
Sidje, 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 1334.92475
MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B.
2
2007
A note on the balanced method. Zbl 1116.65004
Alcock, Jamie; Burrage, Kevin
34
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
24
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.
73
2004
Stochastic approaches for modelling in vivo reactions. Zbl 1087.92035
Turner, T. E.; Schnell, S.; Burrage, K.
40
2004
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Zbl 1039.65005
Carletti, M.; Burrage, K.; Burrage, P. M.
39
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.
14
2004
A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Zbl 1429.62362
Alcock, Jamie; Burrage, Kevin
6
2004
Bistability and switching in the lysis/lysogeny genetic regulatory network of bacteriophage \(\lambda\). Zbl 1439.92096
Tian, Tianhai; Burrage, Kevin
2
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.
32
2002
Two-stage stochastic Runge-Kutta methods for stochastic differential equations. Zbl 1016.65002
Tian, T. H.; Burrage, K.
15
2002
Predictor-corrector methods of Runge-Kutta type for stochastic differential equations. Zbl 1026.60075
Burrage, Kevin; Tian, Tianhai
11
2002
A four-stage index 2 diagonally implicit Runge-Kutta method. Zbl 0993.65088
Williams, Russell; Burrage, Kevin; Cameron, Ian; Kerr, Minnie
10
2002
New multivalue methods for differential algebraic equations. Zbl 1055.65101
Kerr, Minnie; Burrage, Kevin
1
2002
Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007
Tian, Tianhai; Burrage, Kevin
42
2001
The composite Euler method for stiff stochastic differential equations. Zbl 0987.65009
Burrage, Kevin; Tian, Tianhai
31
2001
Stiffly accurate Runge-Kutta methods for stiff stochastic differential equations. Zbl 0991.65005
Burrage, Kevin; Tian, Tianhai
9
2001
Acceleration of convergence of static and dynamic iterations. Zbl 0992.65077
Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D.
1
2001
Order conditions of stochastic Runge–Kutta methods by B-series. Zbl 0983.65006
Burrage, K.; Burrage, P. M.
69
2000
...and 57 more Documents
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