Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations (Q2222333)

scientific article

Language	Label	Description	Also known as
English	Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations	scientific article

Statements

instance of

scholarly article

0 references

title

Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations (English)

0 references

author

Zhengjie Sun

0 references

published in

Journal of Computational Physics

0 references

publication date

26 January 2021

0 references

zbMATH Keywords

multisymplectic PDEs

0 references

quasiinterpolation

0 references

multisymplectic conservation law

0 references

energy conservation

0 references

momentum conservation

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1016/j.jcp.2019.06.026

0 references

cites work

Univariate multiquadric approximation: Quasi-interpolation to scattered data

0 references

A fourth order numerical scheme for the one-dimensional sine-Gordon equation

0 references

Multi-symplectic structures and wave propagation

0 references

Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

0 references

Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations

0 references

Convergence of Univariate Quasi-Interpolation Using Multiquadrics

0 references

On quasi-interpolation by radial basis functions with scattered centres

0 references

Radial Basis Functions

0 references

Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems

0 references

Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation

0 references

Applying multiquadric quasi-interpolation to solve Burgers' equation

0 references

Multi-symplectic integration of the Camassa-Holm equation

0 references

Spline approximation by quasiinterpolants

0 references

Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation

0 references

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

0 references

Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains

0 references

The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods

0 references

A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

0 references

A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions

0 references

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

0 references

Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions

0 references

Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

0 references

Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant

0 references

Constructing radial kernels with higher-order generalized Strang-Fix conditions

0 references

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

0 references

A quasi-interpolation method for solving stiff ordinary differential equations

0 references

Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations

0 references

The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

0 references

Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations

0 references

Multi-symplectic Runge–Kutta-type methods for Hamiltonian wave equations

0 references

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

0 references

Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method

0 references

Stability of multiquadric quasi-interpolation to approximate high order derivatives

0 references

Multisymplectic geometry, variational integrators, and nonlinear PDEs

0 references

Backward error analysis for multi-symplectic integration methods

0 references

Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations

0 references

An introduction to Schoenberg's approximation

0 references

Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations

0 references

The missing Wendland functions

0 references

Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system

0 references

A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation

0 references

Meshless conservative scheme for multivariate nonlinear Hamiltonian PDEs

0 references

Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations

0 references

Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs

0 references

An efficient Chebyshev-tau spectral method for Ginzburg-Landau-Schrödinger equations

0 references

Dynamically knots setting in meshless method for solving time-dependent propagations equation

0 references

Generalized Strang-Fix condition for scattered data quasi-interpolation

0 references

Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations

0 references

A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation

0 references

Q4463089

0 references

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

0 references

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

0 references

Symplectic and multisymplectic schemes with the simple finite element method

0 references

Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation

0 references

Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations

0 references

Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation

0 references

Symplectic wavelet collocation method for Hamiltonian wave equations

0 references

Identifiers

zbMATH Open document ID

1452.65397

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.JCP.2019.06.026

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2222333