Ian W. Turner

ORCID

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 54

Top Venues

Comput. Math. Appl.

Appl. Math. Comput.

J. Comput. Appl. Math.

Commun. Nonlinear Sci. Numer. Simul.

Publications

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 (2024)
Xingyu An, Qingxia (Jenny) Wang, Fawang Liu, Vo V. Anh, Ian W. Turner
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option. Numer. Algorithms 95 (1) (2024)
Riley M. Whebell, Timothy J. Moroney, Ian W. Turner, Ravindra Pethiyagoda, Marie-Luise Wille, Justin J. Cooper-White, Arvind Kumar, Philip Taylor, Scott W. McCue
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 (2023)
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. J. Comput. Phys. 480 (2023)
Libo Feng, Ian W. Turner, Timothy J. Moroney, Fawang Liu
Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains. Commun. Nonlinear Sci. Numer. Simul. 125 (2023)
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. Commun. Nonlinear Sci. Numer. Simul. 116 (2023)
Alexander P. Browning, Christopher C. Drovandi, Ian W. Turner, Adrianne L. Jenner, Matthew J. Simpson
Efficient inference and identifiability analysis for differential equation models with random parameters. PLoS Comput. Biol. 18 (11) (2022)
Mengchen Zhang, Fawang Liu, Ian W. Turner, Vo V. Anh
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 (2022)
Qiang Yu, Ian W. Turner, Fawang Liu, Viktor Vegh
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. Appl. Math. Comput. 427 (2022)
Libo Feng, Ian W. Turner, Timothy J. Moroney, Fawang Liu
An investigation of space distributed-order models for simulating anomalous transport in a binary medium. Appl. Math. Comput. 434 (2022)
Jacob W. Priddle, Scott A. Sisson, David T. Frazier, Ian W. Turner, Christopher C. Drovandi
Efficient Bayesian Synthetic Likelihood With Whitening Transformations. J. Comput. Graph. Stat. 31 (1) (2022)
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 (2022)
Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Commun. Nonlinear Sci. Numer. Simul. 92 (2021)
Shuiping Yang, Fawang Liu, Libo Feng, Ian W. Turner
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. J. Comput. Appl. Math. 388 (2021)
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 (2021)
Mengchen Zhang, Fawang Liu, Ian W. Turner, Vo V. Anh, Libo Feng
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 (2021)
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 (2020)
Huan Du, Patrick Perré, Ian W. Turner
Modelling fungal growth with fractional transport models. Commun. Nonlinear Sci. Numer. Simul. 84 (2020)
Libo Feng, Fawang Liu, Ian W. Turner
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)
Zongze Yang, Fawang Liu, Yufeng Nie, Ian W. Turner
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 (2020)
Lang Li, Fawang Liu, Libo Feng, Ian W. Turner
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. J. Comput. Appl. Math. 368 (2020)
Xinghua Gao, Fawang Liu, Hong Li, Yang Liu, Ian W. Turner, Baoli Yin
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. Comput. Math. Appl. 80 (5) (2020)
Libo Feng, Pinghui Zhuang, Fawang Liu, Ian W. Turner, Jing Li
High-order numerical methods for the Riesz space fractional advection-dispersion equations. CoRR (2020)
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 (2020)
Rumeng Zheng, Fawang Liu, Xiaoyun Jiang, Ian W. Turner
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Comput. Math. Appl. 80 (6) (2020)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, Stephen J. Wright
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394 (2019)
Tianzeng Li, Yu Wang, Fawang Liu, Ian W. Turner
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Numer. Algorithms 82 (4) (2019)
Ling Guo, Fanhai Zeng, Ian W. Turner, Kevin Burrage, George Em Karniadakis
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41 (4) (2019)
Libo Feng, Fawang Liu, Ian W. Turner
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 (2019)
Steven Psaltis, Ian W. Turner, Elliot J. Carr, Troy Farrell, Gary Hopewell, Henri Baillères
Three-dimensional virtual reconstruction of timber billets from rotary peeling. Comput. Electron. Agric. 152 (2018)
Yuanlu Li, Fawang Liu, Ian W. Turner, Tao Li
Time-fractional diffusion equation for signal smoothing. Appl. Math. Comput. 326 (2018)
Hui Zhang, Fawang Liu, Xiaoyun Jiang, Fanhai Zeng, Ian W. Turner
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Comput. Math. Appl. 76 (10) (2018)
Fanhai Zeng, Ian W. Turner, Kevin Burrage
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77 (1) (2018)
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 (2018)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, George E. Karniadakis
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40 (5) (2018)
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 (2018)
Shanlin Qin, Fawang Liu, Ian W. Turner, Qianqian Yang, Qiang Yu
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Comput. Math. Appl. 75 (1) (2018)
W. Fan, Fawang Liu, X. Jiang, Ian W. Turner
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. J. Comput. Appl. Math. 336 (2018)
Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7 (2) (2018)
Hongmei Zhang, Fawang Liu, Ian W. Turner, S. Chen, Qianqian Yang
Numerical simulation of a Finite Moment Log Stable model for a European call option. Numer. Algorithms 75 (3) (2017)
J. Li, Fawang Liu, Libo Feng, Ian W. Turner
A novel finite volume method for the Riesz space distributed-order diffusion equation. Comput. Math. Appl. 74 (4) (2017)
Yanmin Zhao, Yadong Zhang, Fawang Liu, Ian W. Turner, Yifa Tang, Vo V. Anh
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Comput. Math. Appl. 73 (6) (2017)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner, Vo V. Anh, J. Li
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Comput. Math. Appl. 73 (6) (2017)
Shanlin Qin, Fawang Liu, Ian W. Turner, Viktor Vegh, Qiang Yu, Qianqian Yang
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. J. Comput. Appl. Math. 319 (2017)
Brody H. Foy, Patrick Perré, Ian W. Turner
The Meshfree Finite Volume Method with application to multi-phase porous media models. J. Comput. Phys. 333 (2017)
Y. Zhao, Y. Zhang, D. Shi, Fawang Liu, Ian W. Turner
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Appl. Math. Lett. 59 (2016)
P. Zhuang, Fawang Liu, Ian W. Turner, Vo V. Anh
Galerkin finite element method and error analysis for the fractional cable equation. Numer. Algorithms 72 (2) (2016)
S. Chen, Fawang Liu, X. Jiang, Ian W. Turner, Kevin Burrage
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) (2016)
Chunying Ming, Fawang Liu, Liancun Zheng, Ian W. Turner, Vo Anh
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Comput. Math. Appl. 72 (9) (2016)
Hongmei Zhang, Fawang Liu, Ian W. Turner, Qianqian Yang
Numerical solution of the time fractional Black-Scholes model governing European options. Comput. Math. Appl. 71 (9) (2016)
Elliot J. Carr, Patrick Perré, Ian W. Turner
The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters. J. Comput. Phys. 327 (2016)
Xiuling Hu, Fawang Liu, Ian W. Turner, Vo V. Anh
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Numer. Algorithms 72 (2) (2016)
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang, Ian W. Turner
GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion. SIAM J. Sci. Comput. 38 (3) (2016)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner, Yuantong Gu
Finite element method for space-time fractional diffusion equation. Numer. Algorithms 72 (3) (2016)
Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM J. Sci. Comput. 37 (1) (2015)
S. Chen, Fawang Liu, X. Jiang, Ian W. Turner, Vo Anh
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Appl. Math. Comput. 257 (2015)
Q. Liu, Fawang Liu, Yuantong Gu, P. Zhuang, J. Chen, Ian W. Turner
A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. Appl. Math. Comput. 256 (2015)
S. Chen, X. Jiang, Fawang Liu, Ian W. Turner
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. J. Comput. Appl. Math. 278 (2015)
Minling Zheng, Fawang Liu, Ian W. Turner, Vo Anh
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation. SIAM J. Sci. Comput. 37 (2) (2015)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Appl. Math. Comput. 257 (2015)
Fawang Liu, P. Zhuang, Ian W. Turner, Vo Anh, Kevin Burrage
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. J. Comput. Phys. 293 (2015)
Xiuling Hu, Hong-Lin Liao, F. Liu, Ian W. Turner
A center Box method for radially symmetric solution of fractional subdiffusion equation. Appl. Math. Comput. 257 (2015)
Q. Liu, Fawang Liu, Ian W. Turner, Vo Anh, Yuantong Gu
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Appl. Math. Comput. 226 (2014)
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 (2014)
Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52 (6) (2014)
Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255 (2014)
Hongmei Zhang, Fawang Liu, P. Zhuang, Ian W. Turner, Vo Anh
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Appl. Math. Comput. 242 (2014)
Michael Symonds, Peter Bruza, Guido Zuccon, Bevan Koopman, Laurianne Sitbon, Ian W. Turner
Automatic query expansion: A structural linguistic perspective. J. Assoc. Inf. Sci. Technol. 65 (8) (2014)
J. Song, Qiang Yu, Fawang Liu, Ian W. Turner
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Numer. Algorithms 66 (4) (2014)
Daryl M. Kempthorne, Ian W. Turner, John A. Belward
A Comparison of Techniques for the Reconstruction of Leaf Surfaces from Scanned Data. SIAM J. Sci. Comput. 36 (6) (2014)
Chang-Ming Chen, Fawang Liu, Ian W. Turner, Vo Anh, Y. Chen
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Numer. Algorithms 63 (2) (2013)
Elliot J. Carr, Ian W. Turner, Patrick Perré
A Dual-Scale Modeling Approach for Drying Hygroscopic Porous Media. Multiscale Model. Simul. 11 (1) (2013)
Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. SIAM J. Sci. Comput. 35 (6) (2013)
Michael Milford, Ian W. Turner, Peter Corke
Long exposure localization in darkness using consumer cameras. ICRA (2013)
Elliot J. Carr, Ian W. Turner, Patrick Perré
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying. J. Comput. Phys. 233 (2013)
S. Chen, Fawang Liu, Ian W. Turner, Vo Anh
An implicit numerical method for the two-dimensional fractional percolation equation. Appl. Math. Comput. 219 (9) (2013)
H. Jiang, Fawang Liu, Ian W. Turner, Kevin Burrage
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Comput. Math. Appl. 64 (10) (2012)
Shujun Shen, Fawang Liu, J. Chen, Ian W. Turner, Vo Anh
Numerical techniques for the variable order time fractional diffusion equation. Appl. Math. Comput. 218 (22) (2012)
Michael Symonds, Peter D. Bruza, Laurianne Sitbon, Ian W. Turner
A tensor encoding model for semantic processing. CIKM (2012)
Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Appl. Math. Comput. 219 (8) (2012)
Mike Symonds, Peter Bruza, Guido Zuccon, Laurianne Sitbon, Ian W. Turner
Is the unigram relevance model term independent?: classifying term dependencies in query expansion. ADCS (2012)
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) (2012)
Chang-Ming Chen, Fawang Liu, Ian W. Turner, Vo Anh
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) (2011)
Elliot J. Carr, Timothy J. Moroney, Ian W. Turner
Efficient simulation of unsaturated flow using exponential time integration. Appl. Math. Comput. 217 (14) (2011)
Moa'ath N. Oqielat, Ian W. Turner, John A. Belward, Scott W. McCue
Modelling water droplet movement on a leaf surface. Math. Comput. Simul. 81 (8) (2011)
Qianqian Yang, Ian W. Turner, Fawang Liu, Milos Ilic
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions. SIAM J. Sci. Comput. 33 (3) (2011)
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) (2011)
Mike Symonds, Peter Bruza, Laurianne Sitbon, Ian W. Turner
Modelling Word Meaning using Efficient Tensor Representations. PACLIC (2011)
Chang-Ming Chen, Fawang Liu, Ian W. Turner, Vo Anh
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Numer. Algorithms 54 (1) (2010)
Ian W. Turner, John A. Belward, Moa'ath N. Oqielat
Error Bounds for Least Squares Gradient Estimates. SIAM J. Sci. Comput. 32 (4) (2010)
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) (2010)
Milos Ilic, Ian W. Turner, Fawang Liu, Vo Anh
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Appl. Math. Comput. 216 (8) (2010)
P. 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) (2009)
Chris M. Strickland, Ian W. Turner, Robert Denham, Kerrie L. Mengersen
Efficient Bayesian estimation of multivariate state space models. Comput. Stat. Data Anal. 53 (12) (2009)
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) (2009)
Jennifer A. Flegg, Donald L. S. McElwain, Helen M. Byrne, Ian W. Turner
A Three Species Model to Simulate Application of Hyperbaric Oxygen Therapy to Chronic Wounds. PLoS Comput. Biol. 5 (7) (2009)
P. 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) (2008)
Milos Ilic, Ian W. Turner, Yousef Saad
Linear system solution by null-space approximation and projection (SNAP). Numer. Linear Algebra Appl. 14 (1) (2007)
Fawang Liu, P. Zhuang, Vo Anh, Ian W. Turner, Kevin Burrage
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191 (1) (2007)
Chang-Ming Chen, Fawang Liu, Ian W. Turner, Vo Anh
A Fourier method for the fractional diffusion equation describing sub-diffusion. J. Comput. Phys. 227 (2) (2007)

Ian W. Turner.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Ian W. Turner