What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (43.53%)
- Fractional calculus (26.72%)
- Numerical analysis (21.76%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (21.49%)
- Fractional calculus (26.72%)
- Numerical analysis (21.76%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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