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Turner, Ian William

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Author ID: turner.ian-william Recent zbMATH articles by "Turner, Ian William"
Published as: Turner, I.; Turner, Ian; Turner, I. W.; Turner, Ian W.; Turner, Ian William; Turner, Ian. W.
Documents Indexed: 180 Publications since 1986
all top 5

Co-Authors

1 single-authored
110 Liu, Fawang
58 Anh, Vo V.
22 Burrage, Kevin
18 Zhuang, Pinghui
15 Ilić, Miloš
14 Feng, Libo
13 Yang, Qianqian
10 Carr, Elliot Joseph
10 Perré, Patrick
10 Yu, Qiang
9 Zeng, Fanhai
8 Chen, Changming
8 Jiang, Xiaoyun
7 Belward, John Alan
7 Gu, Yuantong
7 Vegh, Viktor
6 Chen, Jinghua
6 Moroney, Timothy J.
6 Shen, Shujun
5 Chen, Shanzhen
4 Ferguson, W. J.
4 Hu, Xiuling
4 Jayantha, Pasdunkorale A.
4 Oqielat, Moa’ath Nasser
4 Zhang, Hongmei
3 Li, Changpin
3 Li, Jing
3 Qin, Shanlin
3 Zhao, Yanmin
3 Zheng, Minling
2 Bajracharya, K.
2 Burrage, Pamela M.
2 Fan, Wenping
2 Farrell, Troy
2 Karniadakis, George Em
2 Kempthorne, Daryl Matthew
2 McCue, Scott William
2 Pettitt, Anthony N.
2 Shi, Dongyang
2 Simpson, Daniel Peter
2 Song, Jiqian
2 Su, Ninghu
2 Truscott, Simon L.
2 Yang, Shuiping
2 Zhang, Yadong
2 Zheng, Liancun
1 Ahn, Vo
1 An, Xingyu
1 Arunakumaren, N.
1 Bednarz, Tomasz P.
1 Chen, Shiping
1 Cumming, Ben
1 Cusimano, Nicole
1 Denham, Robert
1 Du, Huan
1 Farquhar, Megan E.
1 Foy, Brody H.
1 Gao, Xinghua
1 Guo, Ling
1 Hassard, Patrick
1 Huxley, W. J.
1 Lester, Daniel R.
1 Li, Hong
1 Li, Lang
1 Li, Tao
1 Li, Yuanlu
1 Liao, HongLin
1 Lin, Ran
1 Liu, Qingxia
1 Liu, Quansheng
1 Liu, Yang
1 Mallet, Dann G.
1 March, Nathan G.
1 Mazumder, Saikat
1 McCabe, Peter J.
1 Mcelwain, D. L. Sean
1 Mengersen, Kerrie L.
1 Ming, Chunying
1 Moroney, Timothy John
1 Nie, Yufeng
1 Pethiyagoda, Ravindra
1 Psaltis, Steven
1 Rémond, Romain
1 Rousset, Patrick
1 Saad, Yousef
1 Shi, Yanhua
1 Sizgek, D.
1 Sizgek, E.
1 Strickland, Chris M.
1 Tang, Yifa
1 Thackham, Jennifer A.
1 Tieng, Quang Minh
1 Wang, Fenling
1 Wang, Yajun
1 Whebell, Riley M.
1 Wright, Stephen J.
1 Yarlagadda, Prasad K. D. V.
1 Yin, Baoli
1 Yuan, Zhanbin
1 Zhang, GuiYong
...and 2 more Co-Authors
all top 5

Serials

32 Applied Mathematical Modelling
26 The ANZIAM Journal
16 Applied Mathematics and Computation
12 Computers & Mathematics with Applications
12 Journal of Computational and Applied Mathematics
10 Journal of Computational Physics
10 SIAM Journal on Scientific Computing
8 Numerical Algorithms
5 IMA Journal of Applied Mathematics
4 International Journal for Numerical Methods in Engineering
4 SIAM Journal on Numerical Analysis
4 Fractional Calculus & Applied Analysis
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Applied Mathematics and Computing
3 International Journal of Heat and Mass Transfer
3 Applied Numerical Mathematics
2 Numerical Linear Algebra with Applications
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 BIT
1 Mathematics and Computers in Simulation
1 Journal of Computational Mathematics
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Journal of Applied Mathematics and Stochastic Analysis
1 Computational Statistics and Data Analysis
1 Systems Analysis, Modelling Simulation
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 The Korean Journal of Computational & Applied Mathematics
1 Multiscale Modeling & Simulation
1 Journal of Algorithms & Computational Technology
1 International Journal of Differential Equations
1 Axioms

Publications by Year

Citations contained in zbMATH Open

155 Publications have been cited 4,735 times in 1,986 Documents Cited by Year
Numerical solution of the space fractional Fokker-Planck equation. Zbl 1036.82019
Liu, Fawang; Anh, V.; Turner, I.
346
2004
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
242
2010
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.
240
2007
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
226
2009
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
199
2008
A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
170
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.
156
2014
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
130
2013
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
127
2010
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Zbl 1171.65101
Lin, R.; Liu, Fawang; Anh, V.; Turner, I.
123
2009
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
113
2011
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
105
2003
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
92
2015
Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009
Ilic, M.; Liu, Fawang; Turner, I.; Anh, V.
90
2005
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
87
2015
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.
81
2012
Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507
Ilic, M.; Liu, F.; Turner, I.; Anh, V.
75
2006
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.
72
2014
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.
71
2012
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
69
2012
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
67
2007
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
62
2008
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
62
2011
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.
59
2015
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
53
2012
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo
50
2010
Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. Zbl 1242.76262
Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V.
47
2011
A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
41
2017
A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I.
41
2015
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
39
2015
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I.
39
2015
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204
Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T.
37
2014
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
35
2014
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143
Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.
34
2014
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
34
2004
Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
34
2009
A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059
Li, J.; Liu, F.; Feng, L.; Turner, I.
33
2017
Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. Zbl 1082.60511
Liu, Fawang; Shen, S.; Anh, V.; Turner, I.
31
2005
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162
Li, J.; Liu, F.; Feng, L.; Turner, I.
30
2017
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
29
2016
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
29
2011
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104
Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V.
28
2015
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.
28
2012
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
27
2016
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
27
2013
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
27
2016
A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
27
2013
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
26
2016
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
26
2018
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
25
2016
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1408.65057
Song, J.; Yu, Q.; Liu, F.; Turner, I.
25
2014
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
24
2015
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
24
2009
Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. Zbl 1429.65233
Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T.
23
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
21
2013
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
21
2011
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
21
2014
A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Zbl 1429.65215
Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang
21
2014
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V.
20
2017
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277
Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo
17
2016
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid. Zbl 1439.76120
Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun
17
2018
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y.
16
2013
Solving linear and nonlinear space-time fractional reaction-diffusion equations by the Adomian decomposition method. Zbl 1159.76367
Yu, Q.; Liu, Fawang; Anh, V.; Turner, I.
16
2008
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
16
2016
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. Zbl 1394.92075
Qin, Shanlin; Liu, Fawang; Turner, Ian; Vegh, Viktor; Yu, Qiang; Yang, Qianqian
14
2017
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110
Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo
14
2016
A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations. Zbl 1099.65114
Moroney, T. J.; Turner, I. W.
14
2006
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
14
2016
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 07167919
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
14
2018
A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media. Zbl 1309.74074
Jayantha, Pasdunkorale A.; Turner, Ian W.
13
2005
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
13
2014
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J.
13
2017
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
13
2019
A second-order finite volume technique for simulating transport in anisotropic media. Zbl 1123.76345
Jayantha, Pasdunkorale A.; Turner, Ian W.
12
2003
A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations. Zbl 1122.65113
Moroney, T. J.; Turner, I. W.
12
2007
A restarted Lanczos approximation to functions of a symmetric matrix. Zbl 1220.65052
Ilić, M.; Turner, I. W.; Simpson, D. P.
11
2010
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. Zbl 1359.35099
Yang, Qianqian; Turner, Ian; Liu, Fawang
11
2009
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation. Zbl 1162.65015
Ilić, M.; Turner, I. W.; Anh, V.
11
2008
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. Zbl 1203.82068
Yang, Qianqian; Liu, Fawang; Turner, Ian
11
2010
The fundamental and numerical solutions of the Riesz space-fractional reaction-dispersion equation. Zbl 1179.35029
Chen, J.; Liu, Fawang; Turner, I.; Anh, V.
10
2008
Computational approaches to solving equations arising from wound healing. Zbl 1171.92027
Thackham, Jennifer A.; McElwain, D. L. Sean; Turner, Ian W.
10
2009
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.
10
2014
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Zbl 1442.65301
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Zeng, Fanhai; Turner, Ian
10
2018
An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. Zbl 07187165
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
10
2019
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
10
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
10
2010
An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers. Zbl 1002.76074
Liu, Fawang; Turner, I.; Anh, V.
8
2002
Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Zbl 1111.65115
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
8
2006
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
8
2018
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Zbl 1418.65105
Qin, Shanlin; Liu, Fawang; Turner, Ian W.; Yang, Qianqian; Yu, Qiang
8
2018
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
8
2013
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
7
2018
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
7
2019
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 07263241
Qin, Shanlin; Liu, Fawang; Turner, Ian W.
7
2018
A two-dimensional finite volume method for transient simulation of time- and scale-dependent transport in heterogeneous aquifer systems. Zbl 1145.76407
Liu, Fawang; Turner, I.; Anh, V.; Su, N.
6
2003
An unstructured mesh cell-centered control volume method for simulating heat and mass transfer in porous media: Application to softwood drying. I: The isotropic model. Zbl 0841.76074
Turner, I. W.; Ferguson, W. J.
6
1995
A 3-D version of TransPore: A comprehensive heat and mass transfer computational model for simulating the drying of porous media. Zbl 1042.76577
Perré, Patrick; Turner, Ian W.
6
1999
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Zbl 1193.65168
Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V.
6
2010
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. Zbl 1286.76110
Carr, E. J.; Turner, I. W.; Perré, P.
6
2013
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
6
2021
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. Zbl 07389250
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
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
6
2021
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. Zbl 1460.65110
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian
1
2021
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. Zbl 07143627
Feng, Libo; Liu, Fawang; Turner, Ian
4
2020
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. Zbl 1440.65142
Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian
2
2020
Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. Zbl 1446.65082
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian W.
1
2020
Modelling fungal growth with fractional transport models. Zbl 1444.65061
Du, Huan; Perré, Patrick; Turner, Ian
1
2020
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
13
2019
An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. Zbl 07187165
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
10
2019
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
7
2019
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Zbl 1448.92317
Li, T.; Wang, Y.; Liu, F.; Turner, I.
2
2019
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
26
2018
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid. Zbl 1439.76120
Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun
17
2018
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 07167919
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
14
2018
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Zbl 1442.65301
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Zeng, Fanhai; Turner, Ian
10
2018
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
8
2018
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Zbl 1418.65105
Qin, Shanlin; Liu, Fawang; Turner, Ian W.; Yang, Qianqian; Yu, Qiang
8
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
7
2018
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 07263241
Qin, Shanlin; Liu, Fawang; Turner, Ian W.
7
2018
A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region. Zbl 06933818
Chen, S.; Liu, F.; Turner, I.; Anh, V.
6
2018
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. Zbl 1382.65292
Fan, W.; Liu, F.; Jiang, X.; Turner, I.
5
2018
An efficient boundary element formulation for doubly-periodic two-dimensional Stokes flow with pressure boundary conditions. Zbl 1395.76046
Hassard, Patrick; Turner, Ian; Farrell, Troy; Lester, Daniel
1
2018
A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
41
2017
A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059
Li, J.; Liu, F.; Feng, L.; Turner, I.
33
2017
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162
Li, J.; Liu, F.; Feng, L.; Turner, I.
30
2017
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V.
20
2017
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. Zbl 1394.92075
Qin, Shanlin; Liu, Fawang; Turner, Ian; Vegh, Viktor; Yu, Qiang; Yang, Qianqian
14
2017
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J.
13
2017
Numerical simulation of a finite moment log stable model for a European call option. Zbl 1378.91126
Zhang, Hongmei; Liu, F.; Turner, I.; Chen, S.; Yang, Q.
4
2017
The meshfree finite volume method with application to multi-phase porous media models. Zbl 1375.76181
Foy, Brody H.; Perré, Patrick; Turner, Ian
3
2017
Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. Zbl 1446.74011
Carr, Elliot J.; Turner, I. W.; Perré, Patrick
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
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
29
2016
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
27
2016
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
27
2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
26
2016
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
25
2016
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277
Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo
17
2016
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
16
2016
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110
Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo
14
2016
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
14
2016
The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters. Zbl 1373.76333
Carr, E. J.; Perré, P.; Turner, I. W.
5
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
5
2016
A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Zbl 1471.74014
Carr, Elliot J.; Turner, I. W.
5
2016
An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. Zbl 1471.65167
Yuan, Z. B.; Nie, Y. F.; Liu, F.; Turner, I.; Zhang, G. Y.; Gu, Y. T.
4
2016
GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion. Zbl 1382.65124
Farquhar, Megan E.; Moroney, Timothy J.; Yang, Qianqian; Turner, Ian W.
3
2016
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
92
2015
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
87
2015
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.
59
2015
A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I.
41
2015
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
39
2015
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I.
39
2015
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104
Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V.
28
2015
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
24
2015
A center box method for radially symmetric solution of fractional subdiffusion equation. Zbl 1339.65120
Hu, Xiuling; Liao, Hong-Lin; Liu, F.; Turner, I.
5
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.
156
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.
72
2014
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204
Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T.
37
2014
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
35
2014
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143
Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.
34
2014
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1408.65057
Song, J.; Yu, Q.; Liu, F.; Turner, I.
25
2014
Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. Zbl 1429.65233
Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T.
23
2014
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
21
2014
A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Zbl 1429.65215
Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang
21
2014
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
13
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.
10
2014
Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. Zbl 1352.76110
Carr, E. J.; Turner, I. W.
5
2014
A comparison of techniques for the reconstruction of leaf surfaces from scanned data. Zbl 1310.65073
Kempthorne, Daryl M.; Turner, Ian W.; Belward, John A.
2
2014
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
130
2013
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
27
2013
A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
27
2013
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
21
2013
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y.
16
2013
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
8
2013
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. Zbl 1286.76110
Carr, E. J.; Turner, I. W.; Perré, P.
6
2013
A dual-scale modeling approach for drying hygroscopic porous media. Zbl 1267.76106
Carr, E. J.; Turner, I. W.; Perré, P.
4
2013
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.
81
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.
71
2012
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
69
2012
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
53
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.
28
2012
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
10
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
6
2012
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
113
2011
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
62
2011
Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. Zbl 1242.76262
Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V.
47
2011
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
29
2011
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
21
2011
Efficient simulation of unsaturated flow using exponential time integration. Zbl 1419.76494
Carr, E. J.; Moroney, T. J.; Turner, I. W.
5
2011
A mass-conservative control volume-finite element method for solving Richards’ equation in heterogeneous porous media. Zbl 1287.76170
Cumming, Ben; Moroney, Tim; Turner, Ian
4
2011
Modelling water droplet movement on a leaf surface. Zbl 1316.76012
Oqielat, Moa’ath N.; Turner, Ian W.; Belward, John A.; McCue, Scott W.
3
2011
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
242
2010
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
127
2010
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo
50
2010
A restarted Lanczos approximation to functions of a symmetric matrix. Zbl 1220.65052
Ilić, M.; Turner, I. W.; Simpson, D. P.
11
2010
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. Zbl 1203.82068
Yang, Qianqian; Liu, Fawang; Turner, Ian
11
2010
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
10
2010
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Zbl 1193.65168
Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V.
6
2010
Error bounds for least squares gradient estimates. Zbl 1215.65027
Turner, Ian W.; Belward, John A.; Oqielat, Moa’ath N.
3
2010
Krylov subspace approximations for the exponential Euler method: error estimates and the harmonic Ritz approximant. Zbl 1386.65130
Carr, Elliot Joseph; Turner, Ian; Ilic, Milos
2
2010
...and 55 more Documents
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Cited by 2,139 Authors

144 Liu, Fawang
106 Turner, Ian William
60 Wang, Hong
58 Anh, Vo V.
41 Sun, Zhizhong
35 Dehghan Takht Fooladi, Mehdi
32 Abbaszadeh, Mostafa
32 Deng, Weihua
32 Jiang, Xiaoyun
31 Li, Changpin
30 Băleanu, Dumitru I.
27 Burrage, Kevin
25 Li, Hong
25 Liu, Yang
24 Zheng, Xiangcheng
23 Tang, Yifa
22 Sun, Haiwei
21 Karniadakis, George Em
21 Xu, Da
21 Zeng, Fanhai
20 Atangana, Abdon
20 Huang, Chengming
20 Zhuang, Pinghui
19 Bhrawy, Ali Hassan
19 Feng, Libo
18 Wei, LeiLei
17 Chen, Changming
17 Gao, Guanghua
17 Macías-Díaz, Jorge Eduardo
17 Sun, Hongguang
17 Yan, Yubin
17 Zaky, Mahmoud A.
16 Bu, Weiping
16 Fu, Hongfei
16 Gu, Xian-Ming
16 Vong, Seakweng
15 Avazzadeh, Zakieh
15 Ding, Hengfei
15 Heydari, Mohammad Hossien
15 Lu, Shujuan
15 Machado, José António Tenreiro
15 Meerschaert, Mark Marvin
14 Khaliq, Abdul Q. M.
14 Li, Meng
14 Mustapha, Kassem
14 Wang, Yuanming
14 Xiao, Aiguo
14 Zhao, Yanmin
14 Zhao, Yongliang
13 Chen, Wen
13 Lei, Siulong
13 Li, Xiaoli
13 Mohebbi, Akbar
13 Wang, Zhibo
12 Hao, Zhaopeng
12 Huang, Ting-Zhu
12 Owolabi, Kolade Matthew
12 Wu, Guocheng
12 Wu, Yujiang
12 Yang, Qianqian
12 Yin, Baoli
11 Liao, HongLin
11 Zheng, Liancun
10 Alikhanov, Anatoly A.
10 Chen, Shanzhen
10 Chen, Yangquan
10 Cheng, Aijie
10 Cui, Mingrong
10 Doha, Eid H.
10 Huang, Jianfei
10 Liu, Huan
10 Liu, Qingxia
10 Mei, Liquan
10 Shen, Shujun
10 Sweilam, Nasser Hassan
10 Wei, Ting
10 Zhang, Jiwei
10 Zhang, Xindong
9 Chen, Jinghua
9 Chen, Minghua
9 Hendy, Ahmed S.
9 Jian, Huanyan
9 Li, Can
9 Ng, Michael Kwok-Po
9 Nie, Yufeng
9 Perré, Patrick
9 Ren, Jincheng
9 Rui, Hongxing
9 Vabishchevich, Pëtr Nikolaevich
9 Wang, Dongling
9 Wang, Fenling
9 Xu, Chuanju
9 Zayernouri, Mohsen
9 Zeng, Shengda
9 Zhang, Hongmei
9 Zhao, Jingjun
9 Zhao, Zhengang
9 Zheng, Guanghui
8 Abdelkawy, Mohamed A.
8 Chen, Hu
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Cited in 207 Serials

173 Computers & Mathematics with Applications
155 Applied Mathematics and Computation
140 Journal of Computational Physics
112 Applied Numerical Mathematics
97 Journal of Computational and Applied Mathematics
88 Journal of Scientific Computing
84 Numerical Algorithms
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62 Fractional Calculus & Applied Analysis
47 Computational and Applied Mathematics
44 Advances in Difference Equations
39 Applied Mathematics Letters
36 Engineering Analysis with Boundary Elements
32 Communications in Nonlinear Science and Numerical Simulation
31 Mathematics and Computers in Simulation
30 SIAM Journal on Scientific Computing
28 Journal of Applied Mathematics and Computing
26 Numerical Methods for Partial Differential Equations
23 International Journal of Computer Mathematics
22 Mathematical Problems in Engineering
22 Abstract and Applied Analysis
21 Chaos, Solitons and Fractals
19 Advances in Computational Mathematics
18 SIAM Journal on Numerical Analysis
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16 Computer Methods in Applied Mechanics and Engineering
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16 Communications on Applied Mathematics and Computation
15 Advances in Applied Mathematics and Mechanics
14 Inverse Problems in Science and Engineering
14 East Asian Journal on Applied Mathematics
13 Mathematical Methods in the Applied Sciences
11 International Journal of Applied and Computational Mathematics
10 BIT
10 Discrete Dynamics in Nature and Society
9 Discrete and Continuous Dynamical Systems. Series B
9 Journal of Function Spaces
8 Journal of Nonlinear Science and Applications
7 Applicable Analysis
7 Mathematics of Computation
7 Calcolo
7 Computational Mechanics
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Chaos
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Mathematical Modelling of Natural Phenomena
6 Physica A
6 Journal of Vibration and Control
6 Taiwanese Journal of Mathematics
6 Journal of Applied Mathematics
6 Communications in Computational Physics
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Numerical Functional Analysis and Optimization
5 Numerische Mathematik
5 SIAM Journal on Matrix Analysis and Applications
5 Complexity
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Computational Methods in Applied Mathematics
5 Discrete and Continuous Dynamical Systems. Series S
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5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Applied Mathematics
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Boundary Value Problems
3 S\(\vec{\text{e}}\)MA Journal
3 Fractional Differential Calculus
3 Evolution Equations and Control Theory
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Heat and Mass Transfer
2 Journal of Fluid Mechanics
2 Bulletin of Mathematical Biology
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2 Applied Mathematics and Mechanics. (English Edition)
2 Bulletin of the Iranian Mathematical Society
2 Mathematical and Computer Modelling
2 Linear Algebra and its Applications
2 Journal of Inverse and Ill-Posed Problems
2 ETNA. Electronic Transactions on Numerical Analysis
2 Integral Transforms and Special Functions
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2 Computational Geosciences
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