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Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime - MaRDI portal

Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime (Q5235480)

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scientific article; zbMATH DE number 7116298

Language	Label	Description	Also known as
English	Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime	scientific article; zbMATH DE number 7116298

Statements

scholarly article

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Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime (English)

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SIAM Journal on Numerical Analysis

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publication date

11 October 2019

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zbMATH Keywords

Dirac equation

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semiclassical analysis

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frozen Gaussian approximation

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Numerical solution of the Dirac equation by a mapped Fourier grid method

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Computational performance of simple and efficient sequential and parallel Dirac equation solvers

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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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Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime

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An efficient and stable numerical method for the Maxwell--Dirac system

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(Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field

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Frozen Gaussian approximation for 3D seismic tomography

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Frozen Gaussian approximation-based artificial boundary conditions for one-dimensional nonlinear Schrödinger equation in the semiclassical regime

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Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling

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A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry

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Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis

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A simple and accurate mixed \(P^{0}-Q^{1}\) solver for the Maxwell-Dirac equations

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Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime

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Frozen Gaussian approximation for high frequency wave propagation

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Convergence of frozen Gaussian approximation for high-frequency wave propagation

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Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods

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Quantum dynamics of relativistic electrons

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FFT-split-operator code for solving the Dirac equation in \(2+1\) dimensions

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A mathematical justification for the Herman-Kluk propagator

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The Dirac equation in orthogonal coordinate systems. II. The two-centre Dirac equation

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Gaussian beam methods for the Dirac equation in the semi-classical regime

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Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain

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full work available at URL

https://doi.org/10.1137/18m1222831

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Identifiers

zbMATH Open document ID

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10.1137/18M1222831

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5235480

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