Optimal error bounds of the time-splitting sine-pseudospectral method for the biharmonic nonlinear Schrödinger equation (Q6646524)

scientific article; zbMATH DE number 7952197

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English	Optimal error bounds of the time-splitting sine-pseudospectral method for the biharmonic nonlinear Schrödinger equation	scientific article; zbMATH DE number 7952197

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scholarly article

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title

Optimal error bounds of the time-splitting sine-pseudospectral method for the biharmonic nonlinear Schrödinger equation (English)

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Applied Numerical Mathematics

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publication date

2 December 2024

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zbMATH Keywords

biharmonic nonlinear Schrödinger equation

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time-splitting pseudospectral method

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Strang splitting

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error bound

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energy method

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Publication

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cites work

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

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Mathematical theory and numerical methods for Bose-Einstein condensation

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Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator

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Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation

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Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

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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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Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity

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A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates

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Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity

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An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates

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Singular solutions of the<i>L</i><sup>2</sup>-supercritical biharmonic nonlinear Schrödinger equation

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Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation

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Dispersion estimates for fourth order Schrödinger equations

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Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation

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Q4255122

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Stabilization and control for the biharmonic Schrödinger equation

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Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane

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Short proof of a discrete Gronwall inequality

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Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications

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Geometric Numerical Integration

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Solving Ordinary Differential Equations I

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Self-Focusing with Fourth-Order Dispersion

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property

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Operator-compensation methods with mass and energy conservation for solving the Gross-Pitaevskii equation

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On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

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Error estimates of finite difference methods for the biharmonic nonlinear Schrödinger equation

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Splitting methods

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The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave

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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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Error estimates at low regularity of splitting schemes for NLS

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The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line

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Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case

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The cubic fourth-order Schrödinger equation

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Spectral Methods

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Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions

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Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation

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Well-Posedness and Exact Controllability of Fourth Order Schrödinger Equation with Boundary Control and Collocated Observation

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Identifiers

DOI

10.1016/j.apnum.2024.09.007

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6646524