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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

Mathematics of computation, 2021-07, Vol.90 (330), p.1741-1772

2021

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High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

Communications in computational physics, 2022-03, Vol.31 (3), p.771-815

2022

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High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

Communications in computational physics, 2022-01, Vol.31 (1), p.154-187

2022

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High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

Journal of computational mathematics, 2023-01, Vol.41 (6), p.1064-1092

2023

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ANALYSIS OF MIXED INTERIOR PENALTY DISCONTINUOUS GALERKIN METHODS FOR THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

SIAM journal on numerical analysis, 2016-01, Vol.54 (2), p.825-847

2016

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A Survey of High Order Schemes for the Shallow Water Equations

Journal of Mathematical Study, 2014-01, Vol.47 (3), p.221-249

2014

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Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

Communications in computational physics, 2020-11, Vol.28 (5), p.2075-2108

2020

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Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

Mathematics of computation, 2013-07, Vol.82 (283), p.1269-1296

2013

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L^2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

Mathematics of computation, 2017-01, Vol.86 (303), p.121-155

2017

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Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations

Mathematics of computation, 2024-09

2024

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Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks

IEEE communications letters, 2015-07, Vol.19 (7), p.1201-1204

2015

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New Efficient Sparse Space―Time Algorithms for Superparameterization on Mesoscales

Monthly weather review, 2009-12, Vol.137 (12), p.4307-4324

2009

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Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Journal of scientific computing, 2013-10, Vol.57 (1), p.19-41

2013

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On Generalized Gauss–Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes

Journal of scientific computing, 2023-05, Vol.95 (2), p.40, Article Paper No. 40, 36

2023

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Moist multi-scale models for the hurricane embryo

Journal of fluid mechanics, 2010-08, Vol.657, p.478-501

2010

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High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model

Journal of scientific computing, 2020-02, Vol.82 (2), p.30, Article 30

2020

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Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis

Journal of scientific computing, 2021-04, Vol.87 (1), Article 13

2021

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An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation

SIAM journal on scientific computing, 2016-01, Vol.38 (4), p.A1919-A1934

2016

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Well-Balanced Discontinuous Galerkin Methods for the Euler Equations Under Gravitational Fields

Journal of scientific computing, 2016-05, Vol.67 (2), p.493-513

2016

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The Runge–Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws

SIAM journal on scientific computing, 2024-01, Vol.46 (2), p.A1327-A1351

2024

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Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

SIAM journal on scientific computing, 2021-01, Vol.43 (1), p.A472-A510

2021

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Optimal beacon scheduling for low-duty-cycle sensor networks

2016 IEEE International Conference on Communications (ICC), 2016, p.1-7

2016

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Energy conserving and well-balanced discontinuous Galerkin methods for the Euler–Poisson equations in spherical symmetry

Monthly notices of the Royal Astronomical Society, 2022-07, Vol.514 (1), p.370-389

2022

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Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System

Journal of scientific computing, 2018-04, Vol.75 (1), p.536-559

2018

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Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise

Journal of scientific computing, 2022-05, Vol.91 (2), p.53, Article 53

2022

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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

ANALYSIS OF MIXED INTERIOR PENALTY DISCONTINUOUS GALERKIN METHODS FOR THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

A Survey of High Order Schemes for the Shallow Water Equations

Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

L^2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations

Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks

New Efficient Sparse Space―Time Algorithms for Superparameterization on Mesoscales

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

On Generalized Gauss–Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes

Moist multi-scale models for the hurricane embryo

High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model

Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis

An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation

Well-Balanced Discontinuous Galerkin Methods for the Euler Equations Under Gravitational Fields

The Runge–Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws

Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

Optimal beacon scheduling for low-duty-cycle sensor networks

Energy conserving and well-balanced discontinuous Galerkin methods for the Euler–Poisson equations in spherical symmetry

Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System

Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise

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