Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation (Q6071653)

scientific article; zbMATH DE number 7771395

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English	Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation	scientific article; zbMATH DE number 7771395

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instance of

scholarly article

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title

Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation (English)

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Numerical Methods for Partial Differential Equations

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publication date

28 November 2023

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zbMATH Keywords

conservation law

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error estimate

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Fourier pseudospectral method

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fractional Schrödinger equation

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structure-preserving method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22432

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cites work

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Maximum-norm error analysis of a difference scheme for the space fractional CNLS

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Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation

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An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations

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On the conservation of fractional nonlinear Schrödinger equation's invariants by the local discontinuous Galerkin method

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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Galerkin finite element method for nonlinear fractional Schrödinger equations

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Q4315882

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Simulating Hamiltonian Dynamics

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Geometric Numerical Integration

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Symplectic Geometric Algorithms for Hamiltonian Systems

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Structure-preserving numerical methods for the fractional Schrödinger equation

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

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Spectral Methods

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Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation

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Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

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Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

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An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation

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Identifiers

DOI

10.1002/num.22432

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6071653