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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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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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High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers

Journal of computational physics, 2022-08, Vol.463, p.111255, Article 111255

2022

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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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High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

Journal of computational physics, 2021-11, Vol.444, p.110543, Article 110543

2021

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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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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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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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Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

Journal of computational physics, 2022-07, Vol.461, p.111199, Article 111199

2022

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High order finite volume WENO schemes for the Euler equations under gravitational fields

Journal of computational physics, 2016-07, Vol.316, p.145-163

2016

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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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On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

Journal of computational physics, 2023-11, Vol.492, p.112429, Article 112429

2023

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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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High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields

Computers & mathematics with applications (1987), 2023-09, Vol.146, p.339-359

2023

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A Posteriori Error Estimates for Conservative Local Discontinuous GalerkinMethods for the Generalized Korteweg-de Vries Equation

Communications in computational physics, 2016-07, Vol.20 (1), p.250-278

2016

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Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential

SIAM journal on scientific computing, 2022-01, Vol.44 (5), p.A3317-A3340

2022

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Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Journal of computational physics, 2014-09, Vol.272, p.88-107

2014

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Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation

Communications on Applied Mathematics and Computation (Online), 2024-03, Vol.6 (1), p.658-687

2024

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

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

High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers

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

High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

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

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

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

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

High order finite volume WENO schemes for the Euler equations under gravitational fields

Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System

On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

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

High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields

A Posteriori Error Estimates for Conservative Local Discontinuous GalerkinMethods for the Generalized Korteweg-de Vries Equation

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation

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