A class of momentum-preserving finite difference schemes for the Korteweg-de Vries equation
DOI10.1134/S0965542519100154zbMath1445.65046OpenAlexW2973713188WikidataQ126860814 ScholiaQ126860814MaRDI QIDQ2300701
Liang-Hong Zheng, Jin-Liang Yan
Publication date: 28 February 2020
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542519100154
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Cites Work
- Unnamed Item
- Numerical study of fourth-order linearized compact schemes for generalized NLS equations
- A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect
- A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
- Energy preserving integration of bi-Hamiltonian partial differential equations
- Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
- Numerical solutions of KdV equation using radial basis functions
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Multi-symplectic structures and wave propagation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation
- Integrals of nonlinear equations of evolution and solitary waves
This page was built for publication: A class of momentum-preserving finite difference schemes for the Korteweg-de Vries equation
