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Ian W. Turner
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- affiliation: Queensland University of Technology, School of Mathematical Sciences, Brisbane, QLD, Australia
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2020 – today
- 2024
- [j94]Dylan J. Oliver
, Ian W. Turner, Elliot J. Carr:
Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium. Comput. Math. Appl. 154: 78-90 (2024) - [j93]Xingyu An, Qingxia (Jenny) Wang, Fawang Liu
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option. Numer. Algorithms 95(1): 1-30 (2024) - 2023
- [j92]Brodie A. J. Lawson
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. Commun. Nonlinear Sci. Numer. Simul. 116: 106794 (2023) - [j91]Libo Feng
Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains. Commun. Nonlinear Sci. Numer. Simul. 125: 107368 (2023) - [j90]Libo Feng
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. J. Comput. Phys. 480: 112020 (2023) - [i5]Riley M. Whebell, Timothy J. Moroney
Data fusion for a multi-scale model of a wheat leaf surface: a unifying approach using a radial basis function partition of unity method. CoRR abs/2309.09425 (2023) - 2022
- [j89]Qiang Yu
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. Appl. Math. Comput. 427: 127188 (2022) - [j88]Libo Feng
An investigation of space distributed-order models for simulating anomalous transport in a binary medium. Appl. Math. Comput. 434: 127423 (2022) - [j87]Mengchen Zhang
A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. Commun. Nonlinear Sci. Numer. Simul. 114: 106666 (2022) - [j86]Hui Zhang, Fawang Liu, Xiaoyun Jiang, Ian W. Turner:
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. J. Comput. Appl. Math. 399: 113712 (2022) - [j85]Jacob W. Priddle
Efficient Bayesian Synthetic Likelihood With Whitening Transformations. J. Comput. Graph. Stat. 31(1): 50-63 (2022) - [j84]Alexander P. Browning
Efficient inference and identifiability analysis for differential equation models with random parameters. PLoS Comput. Biol. 18(11): 1010734 (2022) - 2021
- [j83]Mengchen Zhang
A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains. Comput. Math. Appl. 98: 81-98 (2021) - [j82]Libo Feng
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Commun. Nonlinear Sci. Numer. Simul. 92: 105454 (2021) - [j81]Shuiping Yang, Fawang Liu, Libo Feng
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. J. Comput. Appl. Math. 388: 113337 (2021) - [i4]Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage:
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. CoRR abs/2102.02432 (2021) - 2020
- [j80]Xinghua Gao, Fawang Liu
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. Comput. Math. Appl. 80(5): 923-939 (2020) - [j79]Rumeng Zheng, Fawang Liu
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Comput. Math. Appl. 80(6): 1523-1537 (2020) - [j78]Huan Du
Modelling fungal growth with fractional transport models. Commun. Nonlinear Sci. Numer. Simul. 84: 105157 (2020) - [j77]Libo Feng
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. J. Comput. Appl. Math. 364 (2020) - [j76]Lang Li, Fawang Liu
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. J. Comput. Appl. Math. 368 (2020) - [j75]Zongze Yang
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains. J. Comput. Phys. 408: 109284 (2020) - [i3]Libo Feng, Pinghui Zhuang, Fawang Liu, Ian W. Turner, Jing Li:
High-order numerical methods for the Riesz space fractional advection-dispersion equations. CoRR abs/2003.13923 (2020) - [i2]Riley M. Whebell, Timothy J. Moroney, Ian W. Turner, Ravindra Pethiyagoda, Scott W. McCue:
Implicit reconstructions of thin leaf surfaces from large, noisy point clouds. CoRR abs/2009.10286 (2020) - [i1]Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage:
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. CoRR abs/2012.05527 (2020)
2010 – 2019
- 2019
- [j74]Libo Feng
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Commun. Nonlinear Sci. Numer. Simul. 70: 354-371 (2019) - [j73]Fanhai Zeng
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394: 177-199 (2019) - [j72]Tianzeng Li, Yu Wang, Fawang Liu
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Numer. Algorithms 82(4): 1467-1495 (2019) - [j71]Ling Guo, Fanhai Zeng
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41(4): A2510-A2535 (2019) - 2018
- [j70]Yuanlu Li
Time-fractional diffusion equation for signal smoothing. Appl. Math. Comput. 326: 108-116 (2018) - [j69]Kevin Burrage
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7(2): 25 (2018) - [j68]Steven Psaltis
Three-dimensional virtual reconstruction of timber billets from rotary peeling. Comput. Electron. Agric. 152: 269-280 (2018) - [j67]Shanlin Qin, Fawang Liu
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Comput. Math. Appl. 75(1): 7-21 (2018) - [j66]Hui Zhang, Fawang Liu
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Comput. Math. Appl. 76(10): 2460-2476 (2018) - [j65]Shanlin Qin, Fawang Liu, Ian W. Turner:
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Commun. Nonlinear Sci. Numer. Simul. 56: 270-286 (2018) - [j64]W. Fan, Fawang Liu
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. J. Comput. Appl. Math. 336: 114-126 (2018) - [j63]Patrick Hassard, Ian W. Turner, Troy Farrell, Daniel R. Lester
An efficient boundary element formulation for doubly-periodic two-dimensional Stokes flow with pressure boundary conditions. J. Comput. Phys. 365: 18-36 (2018) - [j62]Fanhai Zeng
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77(1): 283-307 (2018) - [j61]Fanhai Zeng
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40(5): A2986-A3011 (2018) - 2017
- [j60]Yanmin Zhao, Yadong Zhang, Fawang Liu
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Comput. Math. Appl. 73(6): 1087-1099 (2017) - [j59]Libo Feng
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Comput. Math. Appl. 73(6): 1155-1171 (2017) - [j58]J. Li, Fawang Liu
A novel finite volume method for the Riesz space distributed-order diffusion equation. Comput. Math. Appl. 74(4): 772-783 (2017) - [j57]Shanlin Qin, Fawang Liu
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. J. Comput. Appl. Math. 319: 308-319 (2017) - [j56]Brody H. Foy, Patrick Perré
The Meshfree Finite Volume Method with application to multi-phase porous media models. J. Comput. Phys. 333: 369-386 (2017) - [j55]Hongmei Zhang, Fawang Liu, Ian W. Turner, Shanzhen Chen, Qianqian Yang
Numerical simulation of a Finite Moment Log Stable model for a European call option. Numer. Algorithms 75(3): 569-585 (2017) - 2016
- [j54]Yanmin Zhao, Yadong Zhang, Dongyang Shi, Fawang Liu
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Appl. Math. Lett. 59: 38-47 (2016) - [j53]Hongmei Zhang, Fawang Liu
Numerical solution of the time fractional Black-Scholes model governing European options. Comput. Math. Appl. 71(9): 1772-1783 (2016) - [j52]Chunying Ming, Fawang Liu
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Comput. Math. Appl. 72(9): 2084-2097 (2016) - [j51]Elliot J. Carr
The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters. J. Comput. Phys. 327: 810-829 (2016) - [j50]Xiuling Hu, Fawang Liu, Ian W. Turner
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Numer. Algorithms 72(2): 393-407 (2016) - [j49]Pinghui Zhuang, Fawang Liu, Ian W. Turner
Galerkin finite element method and error analysis for the fractional cable equation. Numer. Algorithms 72(2): 447-466 (2016) - [j48]Libo Feng
Finite element method for space-time fractional diffusion equation. Numer. Algorithms 72(3): 749-767 (2016) - [j47]Shanzhen Chen, Fawang Liu, X. Jiang, Ian W. Turner
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients. SIAM J. Numer. Anal. 54(2): 606-624 (2016) - [j46]Megan E. Farquhar
GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion. SIAM J. Sci. Comput. 38(3) (2016) - 2015
- [j45]Q. Liu, Fawang Liu, Yuantong Gu
A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. Appl. Math. Comput. 256: 930-938 (2015) - [j44]Libo Feng
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Appl. Math. Comput. 257: 52-65 (2015) - [j43]Xiuling Hu, Hong-Lin Liao
A center Box method for radially symmetric solution of fractional subdiffusion equation. Appl. Math. Comput. 257: 467-486 (2015) - [j42]Shanzhen Chen, Fawang Liu, X. Jiang, Ian W. Turner
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Appl. Math. Comput. 257: 591-601 (2015) - [j41]Shanzhen Chen, X. Jiang, Fawang Liu
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. J. Comput. Appl. Math. 278: 119-129 (2015) - [j40]Fawang Liu
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. J. Comput. Phys. 293: 252-263 (2015) - [j39]Fanhai Zeng
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM J. Sci. Comput. 37(1) (2015) - [j38]Minling Zheng, Fawang Liu, Ian W. Turner
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation. SIAM J. Sci. Comput. 37(2) (2015) - 2014
- [j37]Q. Liu, Fawang Liu, Ian W. Turner
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Appl. Math. Comput. 226: 336-347 (2014) - [j36]Haiping Ye, Fawang Liu, Vo Anh, Ian W. Turner
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Appl. Math. Comput. 227: 531-540 (2014) - [j35]Hongmei Zhang, Fawang Liu, Pinghui Zhuang, Ian W. Turner
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Appl. Math. Comput. 242: 541-550 (2014) - [j34]Michael Symonds
Automatic query expansion: A structural linguistic perspective. J. Assoc. Inf. Sci. Technol. 65(8): 1577-1596 (2014) - [j33]Qiang Yu
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255: 635-651 (2014) - [j32]J. Song, Qiang Yu
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Numer. Algorithms 66(4): 911-932 (2014) - [j31]Fanhai Zeng
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52(6): 2599-2622 (2014) - [j30]Daryl M. Kempthorne, Ian W. Turner
A Comparison of Techniques for the Reconstruction of Leaf Surfaces from Scanned Data. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j29]Shanzhen Chen, Fawang Liu, Ian W. Turner
An implicit numerical method for the two-dimensional fractional percolation equation. Appl. Math. Comput. 219(9): 4322-4331 (2013) - [j28]Elliot J. Carr
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying. J. Comput. Phys. 233: 66-82 (2013) - [j27]Elliot J. Carr
A Dual-Scale Modeling Approach for Drying Hygroscopic Porous Media. Multiscale Model. Simul. 11(1): 362-384 (2013) - [j26]Chang-Ming Chen, Fawang Liu, Ian W. Turner
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Numer. Algorithms 63(2): 265-290 (2013) - [j25]Fanhai Zeng
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. SIAM J. Sci. Comput. 35(6) (2013) - [c4]Michael Milford
Long exposure localization in darkness using consumer cameras. ICRA 2013: 3755-3761 - 2012
- [j24]Shujun Shen, Fawang Liu, J. Chen, Ian W. Turner
Numerical techniques for the variable order time fractional diffusion equation. Appl. Math. Comput. 218(22): 10861-10870 (2012) - [j23]Qiang Yu
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Appl. Math. Comput. 219(8): 4082-4095 (2012) - [j22]H. Jiang, Fawang Liu, Ian W. Turner
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Comput. Math. Appl. 64(10): 3377-3388 (2012) - [j21]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Math. Comput. 81(277): 345-366 (2012) - [c3]Mike Symonds
Is the unigram relevance model term independent?: classifying term dependencies in query expansion. ADCS 2012: 123-127 - [c2]Michael Symonds, Peter D. Bruza
A tensor encoding model for semantic processing. CIKM 2012: 2267-2270 - 2011
- [j20]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Appl. Math. Comput. 217(12): 5729-5742 (2011) - [j19]Elliot J. Carr
Efficient simulation of unsaturated flow using exponential time integration. Appl. Math. Comput. 217(14): 6587-6596 (2011) - [j18]Chang-Ming Chen, Fawang Liu, Ian W. Turner
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid. Comput. Math. Appl. 62(3): 971-986 (2011) - [j17]Moa'ath N. Oqielat, Ian W. Turner
Modelling water droplet movement on a leaf surface. Math. Comput. Simul. 81(8): 1553-1571 (2011) - [j16]Qianqian Yang
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions. SIAM J. Sci. Comput. 33(3): 1159-1180 (2011) - [c1]Mike Symonds, Peter Bruza, Laurianne Sitbon, Ian W. Turner:
Modelling Word Meaning using Efficient Tensor Representations. PACLIC 2011: 313-322 - 2010
- [j15]Milos Ilic, Ian W. Turner
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Appl. Math. Comput. 216(8): 2248-2262 (2010) - [j14]Chang-Ming Chen, Fawang Liu, Ian W. Turner
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Numer. Algorithms 54(1): 1-21 (2010) - [j13]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation. SIAM J. Sci. Comput. 32(4): 1740-1760 (2010) - [j12]Ian W. Turner
Error Bounds for Least Squares Gradient Estimates. SIAM J. Sci. Comput. 32(4): 2146-2166 (2010)
2000 – 2009
- 2009
- [j11]R. Lin, Fawang Liu, Vo Anh, Ian W. Turner
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Appl. Math. Comput. 212(2): 435-445 (2009) - [j10]Chris M. Strickland, Ian W. Turner
Efficient Bayesian estimation of multivariate state space models. Comput. Stat. Data Anal. 53(12): 4116-4125 (2009) - [j9]Jennifer A. Flegg
A Three Species Model to Simulate Application of Hyperbaric Oxygen Therapy to Chronic Wounds. PLoS Comput. Biol. 5(7) (2009) - [j8]Pinghui Zhuang, Fawang Liu, Vo Anh, Ian W. Turner
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term. SIAM J. Numer. Anal. 47(3): 1760-1781 (2009) - 2008
- [j7]Pinghui Zhuang, Fawang Liu, Vo Anh, Ian W. Turner
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation. SIAM J. Numer. Anal. 46(2): 1079-1095 (2008) - 2007
- [j6]Fawang Liu, Pinghui Zhuang, Vo Anh, Ian W. Turner
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191(1): 12-20 (2007) - [j5]Q. Liu, Fawang Liu, Ian W. Turner
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. J. Comput. Phys. 222(1): 57-70 (2007) - [j4]Timothy J. Moroney
A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations. J. Comput. Phys. 225(2): 1409-1426 (2007) - [j3]Chang-Ming Chen, Fawang Liu, Ian W. Turner
A Fourier method for the fractional diffusion equation describing sub-diffusion. J. Comput. Phys. 227(2): 886-897 (2007) - [j2]Milos Ilic, Ian W. Turner
Linear system solution by null-space approximation and projection (SNAP). Numer. Linear Algebra Appl. 14(1): 61-82 (2007) - 2005
- [j1]Milos Ilic, Ian W. Turner
Krylov subspaces and the analytic grade. Numer. Linear Algebra Appl. 12(1): 55-76 (2005)
Coauthor Index
Vo V. Anh
aka: Vo Anh
aka: Vo Anh
[j93] [j91] [j89] [j88] [j87] [j86] [j83] [j81] [j80] [j79] [j77] [j76] [j75] [i3] [j74] [j72] [j70] [j67] [j66] [j65] [j64] [j60] [j59] [j58] [j57] [j55] [j54] [j53] [j52] [j50] [j49] [j48] [j47] [j45] [j44] [j43] [j42] [j41] [j40] [j39] [j38] [j37] [j36] [j35] [j33] [j32] [j31] [j29] [j26] [j25] [j24] [j23] [j22] [j21] [j20] [j18] [j16] [j15] [j14] [j13] [j11] [j8] [j7] [j6] [j5] [j3]
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