Numerical studies of the damped Korteweg-de Vries system
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Publication:2252836
DOI10.1016/j.cam.2013.09.045zbMath1291.65304OpenAlexW2008205003MaRDI QIDQ2252836
F. S. Teixeira, M. A. Rincon, Ivo F. Lopez
Publication date: 23 July 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2013.09.045
KdV equations (Korteweg-de Vries equations) (35Q53) 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)
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Analysis and computation of a nonlinear Korteweg-de Vries system, A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D, Numerical analysis and simulation for a nonlinear wave equation
Cites Work
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- The finite element method for the coupled Schrödinger-KdV equations
- Analysis and numerical solution of Benjamin-Bona-Mahony equation with moving boundary
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
- Exponential stabilization of a coupled system of Korteweg-de Vries equations with localized damping.
- Korteweg--de Vries and Kuramoto--Sivashinsky equations in bounded domains
- Uniform stabilization of a class of coupled systems of KdV equations with localized damping
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Convergence of Galerkin Approximations for the Korteweg-de Vries Equation
- On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation
- Stabilization of the Korteweg-de Vries equation with localized damping
- Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
- Galerkin Methods for Parabolic Equations