Maximum-norm error analysis of a difference scheme for the space fractional CNLS (Q299961)

scientific article; zbMATH DE number 6597072

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English	Maximum-norm error analysis of a difference scheme for the space fractional CNLS	scientific article; zbMATH DE number 6597072

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instance of

scholarly article

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title

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

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Applied Mathematics and Computation

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publication date

23 June 2016

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zbMATH Keywords

fractional Schrödinger equations

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fractional centered difference

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convergence analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2014.11.026

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cites work

Fractional quantum mechanics and Lévy path integrals

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Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation

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Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

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The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition

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The attractor of the dissipative coupled fractional Schrödinger equations

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New conservative difference schemes for a coupled nonlinear Schrödinger system

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Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension

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On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations

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High-order time-splitting Hermite and Fourier spectral methods

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Q5482710

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

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Mathematical theory and numerical methods for Bose-Einstein condensation

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Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Collocation method for fractional quantum mechanics

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Riesz potential operators and inverses via fractional centred derivatives

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

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Stability and convergence of the space fractional variable-order Schrödinger equation

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

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation

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Identifiers

zbMATH Open document ID

1339.65137

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Mathematics Subject Classification ID

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10.1016/J.AMC.2014.11.026

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Sitelinks

Mathematics(1 entry)

mardi Publication:299961