Multi-symplectic quasi-interpolation method for the KdV equation (Q2125902)

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English	Multi-symplectic quasi-interpolation method for the KdV equation	scientific article

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scholarly article

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Multi-symplectic quasi-interpolation method for the KdV equation (English)

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Computational and Applied Mathematics

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publication date

14 April 2022

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zbMATH Keywords

multi-symplectic PDEs

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KdV equation

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quasi-interpolation

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meshless method

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energy conservation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-022-01809-2

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A new approach for numerical solution of modified Korteweg-de Vries equation

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Superconvergent spline quasi-interpolants and an application to numerical integration

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

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Multisymplectic box schemes and the Korteweg-de Vries equation.

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Univariate multiquadric approximation: Quasi-interpolation to scattered data

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Cubic quasi-interpolation spline collocation method for solving convection-diffusion equations

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A \(\widetilde{\mathcal{C}}^2\) spline quasi-interpolant for fitting 3D data on the sphere and applications

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Multi-symplectic structures and wave propagation

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Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry

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

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

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Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation

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Applying multiquadric quasi-interpolation to solve Burgers' equation

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

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

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Multiquadric quasi-interpolation for integral functionals

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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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Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method

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A quasi-interpolation method for solving stiff ordinary differential equations

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The Pseudospectral Method for Third-Order Differential Equations

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A hybrid numerical method for the KdV equation by finite difference and sinc collocation method

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High-order compact schemes for nonlinear dispersive waves

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

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

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Exact solution of a KdV equation with variable coefficients

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A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations

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

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Stability of multiquadric quasi-interpolation to approximate high order derivatives

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Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations

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Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations

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

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New exact solutions for the KdV equation with higher order nonlinearity by using the variational method

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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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Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations

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An iterated quasi-interpolation approach for derivative approximation

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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

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

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Generalized Strang-Fix condition for scattered data quasi-interpolation

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Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

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Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations

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The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation

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A Local Discontinuous Galerkin Method for KdV Type Equations

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Symmetric and symplectic exponentially fitted Runge-Kutta-Nyström methods for Hamiltonian problems

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

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

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

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Identifiers

zbMATH Open document ID

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10.1007/s40314-022-01809-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2125902

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