An energy conservative difference scheme for the nonlinear fractional Schrödinger equations (Q349924)

scientific article; zbMATH DE number 6660568

Language	Label	Description	Also known as
English	An energy conservative difference scheme for the nonlinear fractional Schrödinger equations	scientific article; zbMATH DE number 6660568

Statements

instance of

scholarly article

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title

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations (English)

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Journal of Computational Physics

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publication date

5 December 2016

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zbMATH Keywords

fractional Schrödinger equation

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Crank-Nicolson scheme

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conservation

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solvability

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convergence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jcp.2014.03.037

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cites work

Time fractional Schrödinger equation

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Fractional quantum mechanics and Lévy path integrals

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Some physical applications of fractional Schrödinger equation

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

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The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

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Collocation method for fractional quantum mechanics

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

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

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

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Q4233638

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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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Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme

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

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Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

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A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates

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High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations

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Finite-difference solutions of a non-linear Schrödinger equation

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Finite difference discretization of the cubic Schrödinger equation

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Difference schemes for solving the generalized nonlinear Schrödinger equation

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Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation

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A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

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Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

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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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Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

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Finite difference approximations for fractional advection-dispersion flow equations

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Finite difference methods for two-dimensional fractional dispersion equation

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Finite difference approximations for two-sided space-fractional partial differential equations

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Q3421758

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Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

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Quasi-compact finite difference schemes for space fractional diffusion equations

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Galerkin finite element approximation of symmetric space-fractional partial differential equations

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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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Q4222737

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

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Identifiers

zbMATH Open document ID

1349.65346

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Mathematics Subject Classification ID

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10.1016/J.JCP.2014.03.037

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Sitelinks

Mathematics(1 entry)

mardi Publication:349924