Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation
From MaRDI portal
Publication:5162323
DOI10.4208/cicp.OA-2019-0099zbMath1473.65200OpenAlexW3045460959MaRDI QIDQ5162323
Yingda Cheng, Mengjiao Jiao, Mengping Zhang, Yong Liu
Publication date: 2 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0099
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- Discontinuous Galerkin methods for solving Boussinesq-Green-Naghdi equations in resolving non-linear and dispersive surface water waves
- Non-oscillatory central differencing for hyperbolic conservation laws
- Nonlocal models for nonlinear, dispersive waves
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
- On the approximation of solutions of the generalized Korteweg-de Vries- Burgers equation
- An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation
- New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field
- Central schemes on overlapping cells
- A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect
- Central local discontinuous galerkin methods on overlapping cells for diffusion equations
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation
- Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
- L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
- Fully discrete galerkin methods for the korteweg-de vries equation
- The stability of solitary waves
- An evaluation of a model equation for water waves
- On the stability theory of solitary waves
- The Quantum Hydrodynamic Model for Semiconductor Devices
- Finite Volume Methods for Hyperbolic Problems
- Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- A new discontinuous Galerkin method, conserving the discreteH2-norm, for third-order linear equations in one space dimension
- A Local Discontinuous Galerkin Method for KdV Type Equations
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
- Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
- An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation
- Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
- A Posteriori Error Estimates for Conservative Local Discontinuous GalerkinMethods for the Generalized Korteweg-de Vries Equation
- Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
- A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives
- Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
- Model equations for long waves in nonlinear dispersive systems
