On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential (Q3304878)

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English	On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential	scientific article

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instance of

scholarly article

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title

On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential (English)

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ESAIM: Mathematical Modelling and Numerical Analysis

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publication date

3 August 2020

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zbMATH Keywords

nonlinear Schrödinger equation

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highly oscillatory potential

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Lie-Trotter splitting

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Strang splitting

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error estimates

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uniformly accurate

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1051/m2an/2020006

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cites work

Q5318420

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Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime

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Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime

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A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime

0 references

A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime

0 references

A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime

0 references

Uniformly Accurate Oscillatory Integrators for the Klein--Gordon--Zakharov System from Low- to High-Plasma Frequency Regimes

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Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting

0 references

Long time dynamics of Schrödinger and wave equations on flat tori

0 references

Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation

0 references

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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Exponential sums and nonlinear Schrödinger equations

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Q4255122

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Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential

0 references

Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations

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Nonlinear Schrödinger equation with time dependent potential

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On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity

0 references

Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations

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Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior

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Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations

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A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations

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Multiscale particle-in-cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field

0 references

Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field

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On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential

0 references

Geometric numerical integration and Schrödinger equations

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Convergence of a split-step Hermite method for the Gross-Pitaevskii equation

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Geometric Numerical Integration

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Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)

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The energy-critical defocusing NLS on \({\mathbb{T}}^{3}\)

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Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials

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

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A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime

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FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR 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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Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations

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Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations

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Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime

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

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On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system

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Identifiers

zbMATH Open document ID

1451.65163

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:3304878