Chi‐Wang Shu

1. Strong Stability-Preserving High-Order Time Discretization Methods
   2001/01/01 by Sigal Gottlieb, Chi-Wang Shu, Chi‐Wang Shu +1 · 72 citations
   Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics
2. Efficient implementation of essentially non-oscillatory shock-capturing schemes
   1988/08/01 by Chi-Wang Shu, Chi‐Wang Shu, Stanley Osher · 53 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
3. Total variation diminishing Runge-Kutta schemes
   1998/01/01 by Sigal Gottlieb, Chi-Wang Shu, Chi‐Wang Shu · 47 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Advanced Numerical Methods in Computational Mathematics
4. The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
   1998/04/01 by Bernardo Cockburn, Chi-Wang Shu, Chi‐Wang Shu · 53 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
5. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
   2010/08/19 by Xiangxiong Zhang, Chi-Wang Shu, Chi‐Wang Shu · 40 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations
6. On the Gibbs Phenomenon and Its Resolution
   1997/01/01 by David Gottlieb, Chi-Wang Shu, Chi‐Wang Shu · 29 citations
   Physics and Astronomy · Mathematics · Engineering · #Advanced Thermodynamics and Statistical Mechanics #Numerical methods in inverse problems #Field-Flow Fractionation Techniques
7. High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
   2009/02/05 by Chi-Wang Shu, Chi‐Wang Shu · 24 citations
   Engineering · Earth and Planetary Sciences · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations
8. On positivity preserving finite volume schemes for Euler equations
   1996/03/01 by Benoit Perthame, Benoı̂t Perthame, Chi-Wang Shu +1 · 8 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Navier-Stokes equation solutions #Gas Dynamics and Kinetic Theory
9. Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
   2010/11/13 by Xiangxiong Zhang, Chi-Wang Shu, Chi‐Wang Shu · 12 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory #Advanced Numerical Methods in Computational Mathematics
10. Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
    2004/01/01 by Qiang Zhang, Chi-Wang Shu, Chi‐Wang Shu · 8 citations
    Engineering · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows
11. Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes
    2021/11/08 by Kailiang Wu, Wu, Kailiang, Chi‐Wang Shu +1 · 8 citations
    Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlinear Waves and Solitons #Numerical Analysis (math.NA) #Numerical methods for differential equations
12. Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
    2010/01/01 by Qiang Zhang, Chi‐Wang Shu, Chi-Wang Shu · 4 citations
    Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations
13. Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
    2015/09/15 by Haijin Wang, Shiping Wang, Shi‐Ping Wang +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods
14. Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations
    2020/02/09 by Kailiang Wu, Chi‐Wang Shu, Wu, Kailiang +1 · 1 citation
    Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics
15. A local discontinuous Galerkin method for nonlinear parabolic SPDEs
    2020/04/14 by Yunzhang Li, Chi-Wang Shu, Chi‐Wang Shu +1 · 1 citation
    Economics, Econometrics and Finance · Engineering · #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications
16. High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems
    2025/12/09 by Kailiang Wu, Xiangxiong Zhang, Wu, Kailiang +3 · 1 citation
    Engineering · #35L65 #65M06 #65M08 #65M12 #65M60 #76N15 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Numerical Analysis (math.NA)