New conservative finite volume element schemes for the modified Korteweg–de Vries equation
DOI10.1002/mma.3896zbMath1359.65169OpenAlexW2466597706MaRDI QIDQ5507148
Qian Zhang, Jin-Liang Yan, Zhi-Yue Zhang
Publication date: 16 December 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3896
stabilityKorteweg-de Vries equationnumerical experimentfinite volume element methoddiscrete variational derivative method
KdV equations (Korteweg-de Vries equations) (35Q53) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Unnamed Item
- Energy-preserving finite volume element method for the improved Boussinesq equation
- A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect
- On symplectic and multisymplectic schemes for the KdV equation
- Numerical simulation of a modified KdV equation on the whole real axis
- An extension of the discrete variational method to nonuniform grids
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods
- On first and second order box schemes
- Multisymplectic box schemes and the Korteweg-de Vries equation.
- Discrete conservation laws and the convergence of long time simulations of the mKdV equation
- On the formulation of mass, momentum and energy conservation in the KdV equation
- Nonlinear and linear conservative finite difference schemes for regularized long wave equation
- Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation
- Quadratic finite volume element method for the improved Boussinesq equation
- Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
- On the evolution of packets of water waves
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Discrete Variational Derivative Method
- Error estimates of finite volume element method for the pollution in groundwater flow
- On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation
- Some Error Estimates for the Box Method
- Errata: The Korteweg—de Vries Equations: A Survey of Results
- ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
- Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
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