What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
The scientist’s investigation covers issues in Mathematical analysis, Discontinuous Galerkin method, Conservation law, Runge–Kutta methods and Galerkin method.
His Mathematical analysis study integrates concerns from other disciplines, such as Finite volume method and Nonlinear system.
Discontinuous Galerkin method is a primary field of his research addressed under Finite element method.
His Conservation law research integrates issues from Scalar, Applied mathematics, Hyperbolic partial differential equation, Maximum principle and Variety.
His work in Runge–Kutta methods addresses issues such as Discretization, which are connected to fields such as Total variation diminishing.
His Galerkin method research includes elements of Rate of convergence and Numerical stability.
His most cited work include:
- Efficient Implementation of Weighted ENO Schemes (4161 citations)
- Efficient implementation of essentially non-oscillatory shock-capturing schemes,II (4161 citations)
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems (1790 citations)
What are the main themes of his work throughout his whole career to date?
Chi-Wang Shu mostly deals with Mathematical analysis, Discontinuous Galerkin method, Applied mathematics, Conservation law and Nonlinear system.
His Mathematical analysis and Numerical analysis, Discretization, Euler equations, Partial differential equation and Finite difference investigations all form part of his Mathematical analysis research activities.
His work on Euler equations is being expanded to include thematically relevant topics such as Compressible flow.
His Discontinuous Galerkin method study combines topics in areas such as Runge–Kutta methods, Galerkin method, Piecewise and Finite volume method.
His studies in Applied mathematics integrate themes in fields like Polygon mesh, Mathematical optimization, Order of accuracy, Classification of discontinuities and Calculus.
Chi-Wang Shu interconnects Hyperbolic partial differential equation, Maximum principle, Total variation diminishing and Scalar in the investigation of issues within Conservation law.
He most often published in these fields:
- Mathematical analysis (48.81%)
- Discontinuous Galerkin method (45.52%)
- Applied mathematics (31.26%)
What were the highlights of his more recent work (between 2015-2021)?
- Discontinuous Galerkin method (45.52%)
- Applied mathematics (31.26%)
- Mathematical analysis (48.81%)
In recent papers he was focusing on the following fields of study:
Chi-Wang Shu spends much of his time researching Discontinuous Galerkin method, Applied mathematics, Mathematical analysis, Discretization and Conservation law.
The study incorporates disciplines such as Projection, Compressibility, Hyperbolic partial differential equation, Nonlinear system and Piecewise in addition to Discontinuous Galerkin method.
The Applied mathematics study combines topics in areas such as Polygon mesh, Finite difference, Partial differential equation, Runge–Kutta methods and Finite volume method.
Chi-Wang Shu applies his multidisciplinary studies on Mathematical analysis and Limiter in his research.
His study in Discretization is interdisciplinary in nature, drawing from both Order of accuracy, Dissipative system, Algorithm, Generalization and Classification of discontinuities.
His Conservation law research incorporates elements of Total variation diminishing, Maximum principle, Mathematical optimization and Scalar.
Between 2015 and 2021, his most popular works were:
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws (114 citations)
- An efficient class of WENO schemes with adaptive order (101 citations)
- High order WENO and DG methods for time-dependent convection-dominated PDEs (91 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Geometry
His main research concerns Discontinuous Galerkin method, Mathematical analysis, Applied mathematics, Conservation law and Discretization.
His Discontinuous Galerkin method study is concerned with the larger field of Finite element method.
His Mathematical analysis research includes themes of Simple and Nonlinear system.
His work carried out in the field of Applied mathematics brings together such families of science as Ideal, Numerical analysis, Runge–Kutta methods, Order of accuracy and Finite volume method.
He studied Conservation law and Legendre polynomials that intersect with Algorithm and Maxima and minima.
His work carried out in the field of Discretization brings together such families of science as Boundary, Dissipative system, Total variation diminishing, Convection–diffusion equation and Cahn–Hilliard equation.
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.
