What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Quantum mechanics
The scientist’s investigation covers issues in Mathematical analysis, Numerical analysis, Method of fundamental solutions, Partial differential equation and Collocation method.
As a part of the same scientific family, Y.C. Hon mostly works in the field of Mathematical analysis, focusing on Finite element method and, on occasion, Partial derivative.
The concepts of his Numerical analysis study are interwoven with issues in Iterative method, Decomposition method, Mathematical optimization, Regularized meshless method and Applied mathematics.
His Method of fundamental solutions study integrates concerns from other disciplines, such as Method of undetermined coefficients, Helmholtz free energy and Tikhonov regularization.
His Partial differential equation study combines topics from a wide range of disciplines, such as Time derivative, Interpolation, Adaptive algorithm and Nonlinear system.
His research investigates the connection between Collocation method and topics such as Linear system that intersect with problems in Greedy algorithm, Collocation and Greedy randomized adaptive search procedure.
His most cited work include:
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations (391 citations)
- An efficient numerical scheme for Burgers' equation (232 citations)
- Multiquadric Solution for Shallow Water Equations (199 citations)
What are the main themes of his work throughout his whole career to date?
Y.C. Hon focuses on Mathematical analysis, Applied mathematics, Partial differential equation, Numerical analysis and Collocation method.
His Mathematical analysis research includes elements of Method of fundamental solutions, Regularization and Nonlinear system.
His Applied mathematics study also includes fields such as
- Mathematical optimization that connect with fields like Boundary value problem,
- Inverse problem which intersects with area such as Algebraic equation.
His study looks at the intersection of Partial differential equation and topics like Finite difference method with Numerical integration.
His Numerical analysis study incorporates themes from Finite element method and Constitutive equation.
His Collocation method study combines topics in areas such as Linear system, Stochastic partial differential equation, Multigrid method, Fluid dynamics and Collocation.
He most often published in these fields:
- Mathematical analysis (69.57%)
- Applied mathematics (23.91%)
- Partial differential equation (21.74%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical analysis (69.57%)
- Collocation method (18.12%)
- Applied mathematics (23.91%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Mathematical analysis, Collocation method, Applied mathematics, Partial differential equation and Inverse problem.
His Mathematical analysis research focuses on subjects like Regularization, which are linked to Fourier transform.
His research integrates issues of Fluid dynamics, Numerical integration, Discretization and Finite difference method in his study of Collocation method.
His studies deal with areas such as Finite integration, Partial derivative and Piecewise as well as Applied mathematics.
His research in Partial differential equation intersects with topics in Matrix, Numerical analysis and Spectral method.
His work focuses on many connections between Inverse problem and other disciplines, such as Mathematical optimization, that overlap with his field of interest in Integral equation method.
Between 2013 and 2021, his most popular works were:
- Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface (45 citations)
- Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems (23 citations)
- Fundamental kernel-based method for backward space-time fractional diffusion problem (21 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Quantum mechanics
His primary scientific interests are in Mathematical analysis, Collocation method, Fractional diffusion, Discretization and Applied mathematics.
His Mathematical analysis research integrates issues from Thermal conduction and Regularization.
His Collocation method research incorporates elements of Fluid dynamics, Multigrid method and Numerical partial differential equations.
His work carried out in the field of Fractional diffusion brings together such families of science as Scientific method and Calculus.
As a part of the same scientific study, Y.C. Hon usually deals with the Discretization, concentrating on Heat equation and frequently concerns with Fractional calculus.
The Applied mathematics study combines topics in areas such as Method of fundamental solutions, Fast Fourier transform, Fourier transform and Backus–Gilbert method.
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