116 paper(s) uploaded by chiwangshu.

Index Title Upload Time Modified Time
21

A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schr\"{o}dinger equation

Bo Dong University of Massachusetts Dartmouth Chi-Wang Shu Brown University Wei Wang Florida International University

Numerical Analysis and Scientific Computing mathscidoc:1610.25021

Journal of Scientific Computing, 66, 321-345, 2016
[ Download ] [ 2016-10-11 11:20:30 uploaded by chiwangshu ] [ 632 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2016-10-11 11:20:30 -
22

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems

Haijin Wang Nanjing University Chi-Wang Shu Brown University Qiang Zhang Nanjing University

Numerical Analysis and Scientific Computing mathscidoc:1610.25022

Applied Mathematics and Computation, 272, 237-258, 2016
[ Download ] [ 2016-10-11 11:36:52 uploaded by chiwangshu ] [ 678 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2016-10-11 11:36:52 -
23

Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Xiong Meng Harbin Institute of Technology Chi-Wang Shu Brown University Boying Wu Harbin Institute of Technology

Numerical Analysis and Scientific Computing mathscidoc:1610.25023

Mathematics of Computation, 85, 1225-1261, 2016
[ Download ] [ 2016-10-11 11:42:43 uploaded by chiwangshu ] [ 1557 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]
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2016-10-11 11:42:43 -
24

Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition

Jie Du University of Science and Technology of China S.C. Wong University of Hong Kong Chi-Wang Shu Brown University Mengping Zhang University of Science and Technology of China

Numerical Analysis and Scientific Computing mathscidoc:1610.25024

Transportation Research Part B, 79, 189-217, 2015
[ Download ] [ 2016-10-11 11:56:30 uploaded by chiwangshu ] [ 528 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2016-10-11 11:56:30 -
25

Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation

Cheng Wang Beijing Institute of Technology XinZhuang Dong Beijing Institute of Technology Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25025

Journal of Computational Physics, 298, 161-175, 2015
[ Download ] [ 2016-10-11 12:03:02 uploaded by chiwangshu ] [ 954 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]
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2016-10-11 12:03:02 -
26

Superconvergence of discontinuous Galerkin methods for 2-D hyperbolic equations

Waixiang Cao Beijing Computational Science Research Center Chi-Wang Shu Brown University Yang Yang Michigan Technological University Zhimin Zhang Wayne State University

Numerical Analysis and Scientific Computing mathscidoc:1610.25026

SIAM Journal on Numerical Analysis, 53, 1651-1671, 2015
[ Download ] [ 2016-10-11 12:08:45 uploaded by chiwangshu ] [ 781 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2016-10-11 12:08:45 -
27

Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities

Zheng Chen Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25027

Journal of Scientific Computing, 65, 1145-1165, 2015
[ Download ] [ 2016-10-12 03:20:42 uploaded by chiwangshu ] [ 658 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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2016-10-12 03:20:42 -
28

Analysis of sharp superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations

Yang Yang Michigan Technological University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25028

Journal of Computational Mathematics, 33, 323-340, 2015
[ Download ] [ 2016-10-12 03:26:34 uploaded by chiwangshu ] [ 682 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2016-10-12 03:26:34 -
29

High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates

Yan Jiang University of Science and Technology of China Chi-Wang Shu Brown University Mengping Zhang University of Science and Technology of China

Numerical Analysis and Scientific Computing mathscidoc:1610.25029

Mathematical Models and Methods in Applied Sciences, 25, 1553-1588, 2015
[ Download ] [ 2016-10-12 03:31:21 uploaded by chiwangshu ] [ 791 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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2016-10-12 03:31:21 -
30

Numerical solution of the viscous surface wave with discontinuous Galerkin method

Lei Wu Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25030

ESAIM: Mathematical Modelling and Numerical Analysis, 49, 1019-1046, 2015
[ Download ] [ 2016-10-12 03:36:43 uploaded by chiwangshu ] [ 746 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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2016-10-12 03:36:43 -
 
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