A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation (Q726980)

scientific article; zbMATH DE number 6661255

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English	A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation	scientific article; zbMATH DE number 6661255

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instance of

scholarly article

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title

A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation (English)

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published in

Journal of Computational Physics

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publication date

5 December 2016

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zbMATH Keywords

discontinuous Galerkin method

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Korteweg-de Vries equation

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conservation

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stability

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full work available at URL

https://doi.org/10.1016/j.jcp.2016.06.010

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cites work

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Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems

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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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A numerical and theoretical study of certain nonlinear wave phenomena

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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

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Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System

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A Hopscotch method for the Korteweg-de-Vries equation

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On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line

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Operator splitting for the KdV equation

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Operator splitting methods for generalized Korteweg-de Vries equations

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Q3085562

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High-order compact schemes for nonlinear dispersive waves

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A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect

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The Pseudospectral Method for Third-Order Differential Equations

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Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation

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A Legendre--Petrov--Galerkin and Chebyshev collocation method for third-order differential equations

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Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation

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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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Petrov-Galerkin methods for nonlinear dispersive waves

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A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation

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A Conservative Finite Element Method for the Korteweg-de Vries Equation

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Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations

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A Local Discontinuous Galerkin Method for the Camassa–Holm Equation

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Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations

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A Local Discontinuous Galerkin Method for KdV Type Equations

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A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect

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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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Identifiers

zbMATH Open document ID

1349.65462

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Mathematics Subject Classification ID

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10.1016/J.JCP.2016.06.010

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Sitelinks

Mathematics(1 entry)

mardi Publication:726980