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- Ian Turner

Mathematics

Australia

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
61
Citations
13,365
293
World Ranking
360
National Ranking
6

2023 - Research.com Mathematics in Australia Leader Award

2022 - Research.com Mathematics in Australia Leader Award

- Mathematical analysis
- Statistics
- Numerical analysis

Ian Turner mostly deals with Mathematical analysis, Fractional calculus, Diffusion equation, Partial differential equation and Numerical analysis. His research on Mathematical analysis often connects related topics like Stability. His studies in Stability integrate themes in fields like Fourier analysis, Variable, Finite element method and Applied mathematics.

His Fractional calculus research is multidisciplinary, relying on both Time derivative, Dirichlet boundary condition, Space, Riesz space and Convection–diffusion equation. The Diffusion equation study combines topics in areas such as Anomalous diffusion, Bounded function and Matrix. The various areas that Ian Turner examines in his Partial differential equation study include Boundary value problem and Finite volume method.

- Numerical solution of the space fractional Fokker-Planck equation (568 citations)
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives (414 citations)
- Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation (406 citations)

His primary areas of investigation include Mathematical analysis, Fractional calculus, Numerical analysis, Applied mathematics and Partial differential equation. Ian Turner has included themes like Diffusion equation and Stability in his Mathematical analysis study. His study looks at the relationship between Fractional calculus and topics such as Riesz space, which overlap with Ordinary differential equation.

His work on Numerical stability as part of general Numerical analysis research is often related to Spacetime, thus linking different fields of science. His study in Applied mathematics is interdisciplinary in nature, drawing from both Polygon mesh, Krylov subspace, Finite element method, Mathematical optimization and Finite volume method. Ian Turner combines subjects such as Finite difference and Random walk with his study of Finite difference method.

- Mathematical analysis (43.53%)
- Fractional calculus (26.72%)
- Numerical analysis (21.76%)

- Applied mathematics (21.49%)
- Fractional calculus (26.72%)
- Numerical analysis (21.76%)

Ian Turner spends much of his time researching Applied mathematics, Fractional calculus, Numerical analysis, Mathematical analysis and Finite element method. His Applied mathematics research incorporates themes from Boundary value problem, Stability, Diffusion equation, Discretization and Finite volume method. His Fractional calculus research includes themes of Diffusion process, Derivative, Linear multistep method and Constitutive equation.

His research in Numerical analysis intersects with topics in Polygon mesh, Partial differential equation, Mathematical optimization, Riesz space and Finite difference method. Space and Differential equation are the core of his Mathematical analysis study. His Finite element method research focuses on subjects like Finite difference, which are linked to Basis function.

- A novel finite volume method for the Riesz space distributed-order advection–diffusion equation (55 citations)
- A novel finite volume method for the Riesz space distributed-order diffusion equation☆ (53 citations)
- A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain (53 citations)

- Mathematical analysis
- Statistics
- Numerical analysis

His main research concerns Fractional calculus, Applied mathematics, Numerical analysis, Mathematical analysis and Finite element method. His Fractional calculus research integrates issues from Spin–lattice relaxation, Derivative, Amplitude, Discretization and Diffusion process. The study incorporates disciplines such as Galerkin method and Diffusion equation in addition to Applied mathematics.

His Numerical analysis study combines topics from a wide range of disciplines, such as Iterative method, Fractional diffusion, Partial differential equation and Finite difference method. His Mathematical analysis study also includes fields such as

- Anomalous diffusion which intersects with area such as Square,
- Finite volume method that intertwine with fields like Differential equation, Finite volume method for one-dimensional steady state diffusion and Crank–Nicolson method. His Finite element method research is multidisciplinary, incorporating perspectives in Polygon mesh, Finite difference, Stability, Space and Domain.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Numerical solution of the space fractional Fokker-Planck equation

F. Liu;V. Anh;I. Turner.

Journal of Computational and Applied Mathematics **(2004)**

814 Citations

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

Qianqian Yang;Fawang Liu;Ian Turner.

Applied Mathematical Modelling **(2010)**

585 Citations

Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation

Fawang Liu;Fawang Liu;Pinghui Zhuang;Vo Anh;Ian Turner.

Applied Mathematics and Computation **(2007)**

578 Citations

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

P. Zhuang;F. Liu;V. Anh;I. Turner.

SIAM Journal on Numerical Analysis **(2009)**

525 Citations

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

P. Zhuang;F. Liu;V. Anh;I. Turner.

SIAM Journal on Numerical Analysis **(2008)**

400 Citations

A Fourier method for the fractional diffusion equation describing sub-diffusion

Chang-Ming Chen;F. Liu;I. Turner;V. Anh.

Journal of Computational Physics **(2007)**

393 Citations

A 3-D version of TransPore: a comprehensive heat and mass transfer computational model for simulating the drying of porous media

Patrick Perré;Ian W. Turner.

International Journal of Heat and Mass Transfer **(1999)**

302 Citations

A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation

Fanhai Zeng;Fawang Liu;Changpin Li;Kevin Burrage.

SIAM Journal on Numerical Analysis **(2014)**

302 Citations

Time fractional advection-dispersion equation

Fawang Liu;Vo Anh;Ian Turner;Pinghui Zhuang.

Journal of Applied Mathematics and Computing **(2003)**

285 Citations

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner.

SIAM Journal on Scientific Computing **(2013)**

282 Citations

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