Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential (Q4986820): Difference between revisions

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scientific article; zbMATH DE number 7340695

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English	Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential	scientific article; zbMATH DE number 7340695

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instance of

scholarly article

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title

Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential (English)

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SIAM Journal on Numerical Analysis

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publication date

28 April 2021

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full work available at URL

https://arxiv.org/abs/1906.11101

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zbMATH Keywords

nonlinear Dirac equation

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superresolution

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nonrelativistic regime

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time-splitting

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uniform error bound

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MaRDI profile type

Publication

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cites work

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Existence of excited states for a nonlinear Dirac field

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A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime

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Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

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Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime

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A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene

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(Semi-)Nonrelativisitic Limit of the Nonlinear Dirac Equations

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Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation

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On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit

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

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Existence of localized solutions for a classical nonlinear Dirac field

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An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime

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Q3247887

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On the eigenvalues of operators with gaps. Application to Dirac operators

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Stationary states of the nonlinear Dirac equation: A variational approach

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Honeycomb Schrödinger Operators in the Strong Binding Regime

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Identifiers

zbMATH Open document ID

1462.35318

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DOI

10.1137/19M1271828

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4986820

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