Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator (Q2058428)

scientific article; zbMATH DE number 7441574

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English	Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator	scientific article; zbMATH DE number 7441574

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instance of

scholarly article

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title

Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator (English)

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author

Yanyan Li

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published in

Applied Numerical Mathematics

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publication date

9 December 2021

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zbMATH Keywords

fractional nonlinear Schrödinger equation

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Galerkin-Legendre spectral method

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conservative scheme

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maximum norm error estimate

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spectral-accuracy convergence

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describes a project that uses

LIMbook

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.10.013

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cites work

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Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

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High-order algorithms for Riesz derivative and their applications. III

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Some physical applications of fractional Schrödinger equation

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Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator

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A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations

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Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

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Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping

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On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation

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Nonlinear fractional Schrödinger equations in one dimension

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On the continuum limit for discrete NLS with long-range lattice interactions

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Fractional quantum mechanics and Lévy path integrals

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Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

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Identifiers

zbMATH Open document ID

1484.65223

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.10.013

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Sitelinks

Mathematics(1 entry)

mardi Publication:2058428