What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Differential equation
Yanping Lin mainly focuses on Mathematical analysis, Interface, Applied mathematics, Mixed finite element method and Parabolic partial differential equation.
Yanping Lin merges Mathematical analysis with Projection in his research.
The concepts of his Applied mathematics study are interwoven with issues in Cauchy problem, Rate of convergence, Mathematical optimization and Mathematical physics.
The various areas that Yanping Lin examines in his Mixed finite element method study include Norm, Extended finite element method and Geometry.
His Parabolic partial differential equation research is multidisciplinary, incorporating elements of Discrete mathematics, Elliptic operator and Calculus.
Boundary value problem and Polygon mesh is closely connected to Position in his research, which is encompassed under the umbrella topic of Cartesian mesh.
His most cited work include:
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials (232 citations)
- Semilinear integrodifferential equations with nonlocal Cauchy problem (164 citations)
- Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations (130 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Applied mathematics, Mixed finite element method, Boundary value problem and Extended finite element method.
His Mathematical analysis study combines topics in areas such as Nonlinear system and Discontinuous Galerkin method.
His Discontinuous Galerkin method study deals with Galerkin method intersecting with Mathematical physics.
The study incorporates disciplines such as Norm, Numerical analysis and Mathematical optimization in addition to Applied mathematics.
His studies link Rate of convergence with Mixed finite element method.
His study in the fields of hp-FEM under the domain of Extended finite element method overlaps with other disciplines such as Finite volume method.
He most often published in these fields:
- Mathematical analysis (61.05%)
- Applied mathematics (31.05%)
- Mixed finite element method (15.79%)
What were the highlights of his more recent work (between 2013-2021)?
- Applied mathematics (31.05%)
- Mathematical analysis (61.05%)
- Norm (8.95%)
In recent papers he was focusing on the following fields of study:
His main research concerns Applied mathematics, Mathematical analysis, Norm, Bilinear interpolation and Numerical analysis.
In his research, Yanping Lin performs multidisciplinary study on Applied mathematics and Interface.
His primary area of study in Mathematical analysis is in the field of Partial derivative.
His biological study spans a wide range of topics, including Upper and lower bounds, Pure mathematics and Nonlinear system.
Yanping Lin interconnects Finite difference, Computational science, Multigrid method, Stiffness matrix and Solver in the investigation of issues within Numerical analysis.
His biological study spans a wide range of topics, including Rate of convergence, Cartesian coordinate system, Boundary value problem and Polygon mesh.
Between 2013 and 2021, his most popular works were:
- Partially penalized immersed finite element methods for elliptic interface problems (124 citations)
- Partially penalized immersed finite element methods for elliptic interface problems (124 citations)
- Exponential Stability of Nonmonotone Traveling Waves for Nicholson's Blowflies Equation (52 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Differential equation
Yanping Lin mainly focuses on Applied mathematics, Bilinear interpolation, Mathematical optimization, Interface and Immunology.
His Applied mathematics study incorporates themes from Multigrid method, Inverse problem and Stiffness matrix.
His Bilinear interpolation studies intersect with other disciplines such as Solver, Numerical analysis, Linear system, Finite difference and Computational science.
His Mathematical optimization study combines topics in areas such as Mixed finite element method, Polygon mesh, Norm, Rate of convergence and Cartesian coordinate system.
A majority of his Interface research is a blend of other scientific areas, such as Sensitivity, Space, Piecewise, Discontinuous Galerkin method and Galerkin method.
His work on Eotaxin, Inflammation and Chemokine as part of general Immunology study is frequently linked to Exhaled nitric oxide and Ovalbumin, therefore connecting diverse disciplines of science.
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