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Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Advances in water resources, 2010-12, Vol.33 (12), p.1476-1493

2010

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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 finite volume WENO schemes for the shallow water equations with dry states

Advances in water resources, 2011-08, Vol.34 (8), p.1026-1038

2011

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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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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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Influence of dynamic load and water on energy accumulation and dissipation in sandstone

Scientific reports, 2023-12, Vol.13 (1), p.22010-22010, Article 22010

2023

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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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High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry

Journal of computational and applied mathematics, 2016-06, Vol.299, p.229-244

Xing, Yulong

2016

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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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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, Vol.93 (349), p.2135-2183

2024

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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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Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields

Computers & mathematics with applications (1987), 2018-03, Vol.75 (6), p.2071-2085

2018

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

SIAM journal on scientific computing, 2024-04, Vol.46 (2), p.A1327-A1351

2024

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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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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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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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Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg–de Vries equation

Journal of computational and applied mathematics, 2014-01, Vol.255, p.441-455

2014

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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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Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

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

High-order finite volume WENO schemes for the shallow water equations with dry states

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

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

Influence of dynamic load and water on energy accumulation and dissipation in sandstone

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

High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry

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

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

New Efficient Sparse Space―Time Algorithms for Superparameterization on Mesoscales

Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields

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

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

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

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

Optimal beacon scheduling for low-duty-cycle sensor networks

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

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg–de Vries equation

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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