Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations
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Publication:5163902
DOI10.4208/cicp.OA-2020-0027zbMath1473.65225arXiv2103.14352MaRDI QIDQ5163902
Yan Xu, Chi-Wang Shu, Qian Zhang
Publication date: 9 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14352
error estimatesdiscontinuous Galerkin methodconservative schemedissipative schemeFornberg-Whitham type equation
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order nonlinear hyperbolic equations (35L75)
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Cites Work
- Unnamed Item
- Well-posedness of the Fornberg-Whitham equation on the circle
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Local discontinuous Galerkin methods for the generalized Zakharov system
- A type of bounded traveling wave solutions for the Fornberg-Whitham equation
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
- Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
- Local discontinuous Galerkin methods for nonlinear Schrödinger equations
- Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
- Discontinuous Galerkin methods for short pulse type equations via hodograph transformations
- Local discontinuous Galerkin methods for the \(\mu \)-Camassa-Holm and \(\mu \)-Degasperis-Procesi equations
- Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations
- Error dynamics: Beyond von Neumann analysis
- Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation
- A local discontinuous Galerkin method for the Burgers-Poisson equation
- Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions
- Strong Stability-Preserving High-Order Time Discretization Methods
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation
- AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
- A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
- A numerical and theoretical study of certain nonlinear wave phenomena
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- A Local Discontinuous Galerkin Method for KdV Type Equations
- Burgers--Poisson: A Nonlinear Dispersive Model Equation
- An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation
- Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations
- Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- A Conservative Local Discontinuous Galerkin Method for the Schrödinger-KdV System
- A Posteriori Error Estimates for Conservative Local Discontinuous GalerkinMethods for the Generalized Korteweg-de Vries Equation
- Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
- Variational methods and applications to water waves