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
63
Citations
14,337
348
World Ranking
315
National Ranking
5

2023 - Research.com Mathematics in Australia Leader Award

2022 - Research.com Mathematics in Australia Leader Award

- Mathematical analysis
- Statistics
- Quantum mechanics

Vo Anh mainly investigates Mathematical analysis, Fractional calculus, Diffusion equation, Numerical stability and Numerical analysis. His Mathematical analysis study frequently links to related topics such as Stability. His Fractional calculus study combines topics from a wide range of disciplines, such as Initial value problem, Galerkin method, Nonlinear system, Time derivative and Statistical physics.

His Diffusion equation research is multidisciplinary, incorporating elements of Space and Anomalous diffusion. Runge–Kutta methods, Backward Euler method and Explicit and implicit methods is closely connected to Convection–diffusion equation in his research, which is encompassed under the umbrella topic of Numerical stability. The concepts of his Numerical analysis study are interwoven with issues in Boundary value problem and Applied mathematics.

- Numerical solution of the space fractional Fokker-Planck equation (568 citations)
- Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation (406 citations)
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term (336 citations)

The scientist’s investigation covers issues in Mathematical analysis, Fractional calculus, Applied mathematics, Multifractal system and Statistical physics. Vo Anh interconnects Diffusion equation, Stability and Random field in the investigation of issues within Mathematical analysis. His Fractional calculus research integrates issues from Initial value problem, Time derivative, Discretization, Differential equation and Space.

His Applied mathematics research includes elements of Estimator, Statistics and Mathematical optimization. Vo Anh works mostly in the field of Multifractal system, limiting it down to topics relating to Series and, in certain cases, Meteorology. His work carried out in the field of Numerical analysis brings together such families of science as Finite difference method and Nonlinear system.

- Mathematical analysis (42.47%)
- Fractional calculus (20.55%)
- Applied mathematics (17.12%)

- Mathematical analysis (42.47%)
- Applied mathematics (17.12%)
- Fractional calculus (20.55%)

His primary areas of investigation include Mathematical analysis, Applied mathematics, Fractional calculus, Stability and Numerical analysis. His is doing research in Stochastic partial differential equation, Cauchy problem, Variable, Differential equation and Laplace operator, both of which are found in Mathematical analysis. His Applied mathematics study incorporates themes from Call option, Oldroyd-B model, Random field, Space and Least squares.

His work on Fractional diffusion as part of general Fractional calculus research is often related to Space time, thus linking different fields of science. As a part of the same scientific study, Vo Anh usually deals with the Stability, concentrating on Separation of variables and frequently concerns with Energy method, Diffusion wave equation and Scheme. His studies deal with areas such as Gaussian elimination, Alternating direction implicit method, Finite difference method, Riesz space and Discretization as well as Numerical analysis.

- A high-order spectral method for the multi-term time-fractional diffusion equations (82 citations)
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains (49 citations)
- Galerkin finite element method and error analysis for the fractional cable equation (35 citations)

- Statistics
- Mathematical analysis
- Quantum mechanics

His primary areas of study are Mathematical analysis, Applied mathematics, Stability, Fractional calculus and Numerical analysis. Vo Anh regularly links together related areas like Superconvergence in his Mathematical analysis studies. His Applied mathematics study integrates concerns from other disciplines, such as Space, Energy method, Separation of variables and Regular polygon.

His Fractional calculus research incorporates themes from Gaussian elimination, Partition, Iterative method and Random field. His research investigates the connection between Random field and topics such as Limit that intersect with issues in Laplace operator and Multifractal system. His Numerical analysis research includes themes of Legendre polynomials, Diffusion equation, Discretization, Temporal discretization and Finite difference method.

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 solution of the space fractional Fokker-Planck equation

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

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

814 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

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

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

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 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

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