What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Numerical analysis
His scientific interests lie mostly in Mathematical analysis, Method of fundamental solutions, Numerical analysis, Method of undetermined coefficients and Boundary element method.
His study on Partial differential equation, Helmholtz equation and Reciprocity is often connected to Diffusion equation as part of broader study in Mathematical analysis.
His study on Method of fundamental solutions is covered under Singular boundary method.
His Numerical analysis study combines topics in areas such as Heat transfer, Boundary value problem, Thin plate spline and Interpolation.
Ching-Shyang Chen combines subjects such as Parabolic partial differential equation and Differential equation with his study of Method of undetermined coefficients.
His Boundary element method research incorporates themes from Integral equation and Applied mathematics.
His most cited work include:
- Improved multiquadric approximation for partial differential equations (256 citations)
- Some recent results and proposals for the use of radial basis functions in the BEM (249 citations)
- A numerical method for heat transfer problems using collocation and radial basis functions (241 citations)
What are the main themes of his work throughout his whole career to date?
Ching-Shyang Chen spends much of his time researching Mathematical analysis, Method of fundamental solutions, Applied mathematics, Method of undetermined coefficients and Partial differential equation.
His study in the field of Numerical analysis, Helmholtz equation and Discretization is also linked to topics like Helmholtz free energy.
His Numerical analysis research is multidisciplinary, relying on both Boundary element method and Thin plate spline.
His work deals with themes such as Laplace transform, Fundamental solution and Boundary value problem, Laplace's equation, which intersect with Method of fundamental solutions.
His Applied mathematics research integrates issues from Basis function, Matrix, Simple and Collocation method.
His Method of undetermined coefficients study integrates concerns from other disciplines, such as Polyharmonic spline, System of linear equations and Differential equation.
He most often published in these fields:
- Mathematical analysis (75.14%)
- Method of fundamental solutions (51.98%)
- Applied mathematics (49.72%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (49.72%)
- Boundary value problem (39.55%)
- Partial differential equation (39.55%)
In recent papers he was focusing on the following fields of study:
Ching-Shyang Chen mainly investigates Applied mathematics, Boundary value problem, Partial differential equation, Method of fundamental solutions and Basis function.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Method of undetermined coefficients, Simple, Collocation method and Elliptic partial differential equation.
His work carried out in the field of Method of undetermined coefficients brings together such families of science as Helmholtz equation, Chebyshev polynomials, Polyharmonic spline and Differential equation.
Ching-Shyang Chen has included themes like Algorithm, Kansa method, Fundamental solution and Matrix in his Boundary value problem study.
His Method of fundamental solutions research is multidisciplinary, incorporating elements of Laplace transform, Bounded function, Mathematical analysis, Condition number and Laplace's equation.
His research integrates issues of Singular boundary method and Meshfree methods in his study of Laplace's equation.
Between 2016 and 2021, his most popular works were:
- Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations (32 citations)
- Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations (32 citations)
- Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems (31 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Numerical analysis
His main research concerns Applied mathematics, Boundary value problem, Laplace's equation, Method of fundamental solutions and Method of undetermined coefficients.
The Applied mathematics study combines topics in areas such as Discretization, Simple and Kansa method, Collocation method.
When carried out as part of a general Boundary value problem research project, his work on Biharmonic equation and Nyström method is frequently linked to work in Quadrature, therefore connecting diverse disciplines of study.
His Laplace's equation study which covers Meshfree methods that intersects with Algorithm and Adaptive algorithm.
While the research belongs to areas of Method of undetermined coefficients, Ching-Shyang Chen spends his time largely on the problem of Polyharmonic spline, intersecting his research to questions surrounding Positive definiteness.
His Positive definiteness research includes themes of Partial differential equation, Mathematical analysis and Polynomial.
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