Mathematics

[1] The geometry of generalized Lame equation, I

Zhijie Chen Tsinghua University Ting-Jung Kuo National Taiwan Normal University Chang-Shou Lin National Taiwan University

Classical Analysis and ODEs mathscidoc:1804.05001

Journal de Mathematiques Pures et Appliquees
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[2] Addendum: 2D homogeneous solutions to the Euler equation

Xue Luo Beihang University Roman Shvydkoy University of Illinois at Chicago

Analysis of PDEs mathscidoc:1804.03007

Comm.Partial DifferentialEquations, 42, (3), 491-493, 2017
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[3] Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws

Xue Luo Beihang University

Numerical Analysis and Scientific Computing mathscidoc:1804.25034

Applied Numerical Mathematics, 123, 256-274, 2018
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[4] Error Analysis of the Wiener-Askey Polynomial Chaoswith Hyperbolic Cross Approximation and Its Applicationto Differential Equations with Random Inputs

Xue Luo Beihang University

Numerical Analysis and Scientific Computing mathscidoc:1804.25033

J.Comput.Appl. Math., 335, 242-269, 2018
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[5] Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes

Cengke Shi Brown University Jichun Li Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25032

Journal of Computational and Applied Mathematics, 2018
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[6] Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions

Haijin Wang Qiang Zhang Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25031

Journal of Computational and Applied Mathematics, 2018
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[7] Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations

Dan Ling Juan Cheng Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25030

Journal of Scientific Computing, 2018
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[8] Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

Juntao Huang Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25029

Journal of Computational Physics, 361, 111-135, 2018
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[9] On the time growth of the error of the DG method for advective problems

Vaclav Kucera Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25028

IMA Journal of Numerical Analysis, 2018
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[10] Discontinuous-Galerkin methods for a kinetic model of self-organized dynamics

Francis Filbet Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25027

Mathematical Models and Methods in Applied Sciences, 2018
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[11] Superconvergence of discontinuous Galerkin method for nonlinear hyperbolic equations

Waixiang Cao Chi-Wang Shu Brown University Yang Yang Zhimin Zhang

Numerical Analysis and Scientific Computing mathscidoc:1804.25026

SIAM Journal on Numerical Analysis, 2018
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[12] Optimal error estimates of the semidiscrete central discontinuous Galerkin methods for linear hyperbolic equations

Yong Liu Chi-Wang Shu Brown University Mengping Zhang

Numerical Analysis and Scientific Computing mathscidoc:1804.25025

SIAM Journal on Numerical Analysis, 56, 520-541, 2018
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[13] Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

Yong Liu Chi-Wang Shu Brown University Mengping Zhang

Numerical Analysis and Scientific Computing mathscidoc:1804.25024

Journal of Computational Physics, 354, 163-178, 2018
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[14] Implicit positivity-preserving high order discontinuous Galerkin methods for conservation laws

Tong Qin Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25023

SIAM Journal on Scientific Computing, 40, A81-A107, 2018
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[15] A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials

Zheng Sun Jose A. Carrillo Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25022

Journal of Computational Physics, 352, 76-104, 2018
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[16] Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow

Haijin Wang Yunxian Liu Qiang Zhang Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25021

Mathematics of Computation, 2018
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[17] On local conservation of numerical methods for conservation laws

Cengke Shi Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25020

Computers and Fluids, 2018
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[18] Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter

Jie Du Tsinghua University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25019

International Journal of Numerical Analysis and Modeling, 15, 1-25, 2018
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[19] Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates

Dan Ling Juan Cheng Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25018

Computers and Fluids, 157, 112-130, 2017
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[20] Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes

Jun Zhu Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25017

Journal of Computational Physics, 349, 80-96, 2017
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[21] Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation

Huailing Song Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25016

Journal of Scientific Computing, 73, 1178-1203, 2017
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[22] A new trouble-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

Guosheng Fu Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25015

Journal of Computational Physics, 347, 305-327, 2017
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[23] Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Tianheng Chen Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25014

Journal of Computational Physics, 345, 427-461, 2017
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[24] Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients

Waixiang Cao Chi-Wang Shu Brown University Zhimin Zhang

Numerical Analysis and Scientific Computing mathscidoc:1804.25013

ESAIM: Mathematical Modelling and Numerical Analysis, 51, 2213-2235, 2017
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[25] Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures

Jose Morales-Escalante Irene M. Gamba Yingda Cheng Armando Majorana Chi-Wang Shu Brown University James Chelikowsky

Numerical Analysis and Scientific Computing mathscidoc:1804.25012

Computer Methods in Applied Mechanics and Engineering, 321, 209-234, 2017
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