H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 104 Citations 70,157 420 World Ranking 11 National Ranking 8

Research.com Recognitions

Awards & Achievements

2021 - John von Neumann Lecturer

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to the numerical solution of partial differential equations including discontinuous Galerkin methods.

2007 - SIAM/ACM Prize in Computational Science and Engineering For the development of numerical methods that have had a great impact on scientific computing, including TVD temporal discretizations, ENO and WENO finite difference schemes, discontinuous Galerkin methods, and spectral methods.

Overview

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.

Top Publications

Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

Chi-Wang Shu;Stanley Osher.
Journal of Computational Physics (1989)

6721 Citations

Efficient Implementation of Weighted ENO Schemes

Guang-Shan Jiang;Chi-Wang Shu.
Journal of Computational Physics (1996)

5440 Citations

The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V

Bernardo Cockburn;Chi-Wang Shu.
Journal of Computational Physics (1998)

2356 Citations

TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework

Bernardo Cockburn;Chi Wang Shu.
Mathematics of Computation (1989)

2341 Citations

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn;Chi-Wang Shu;Chi-Wang Shu.
SIAM Journal on Numerical Analysis (1998)

2274 Citations

Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws

Chi-Wang Shu.
(1998)

2199 Citations

The Development of Discontinuous Galerkin Methods

Bernardo Cockburn;George E. Karniadakis;Chi-Wang Shu.
(2000)

2053 Citations

Strong Stability-Preserving High-Order Time Discretization Methods

Sigal Gottlieb;Chi-Wang Shu;Eitan Tadmor.
Siam Review (2001)

1980 Citations

Total variation diminishing Runge-Kutta schemes

Sigal Gottlieb;Chi-Wang Shu.
Mathematics of Computation (1998)

1978 Citations

Runge-Kutta discontinuous Galerkin methods for convection-dominated problems

Bernardo Cockburn;Chi-Wang Shu.
(2000)

1862 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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