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Efficient SAV-Hermite methods for the nonlinear Dirac equation - MaRDI portal

Efficient SAV-Hermite methods for the nonlinear Dirac equation (Q2697264)

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Language	Label	Description	Also known as
English	Efficient SAV-Hermite methods for the nonlinear Dirac equation	scientific article

Statements

scholarly article

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Efficient SAV-Hermite methods for the nonlinear Dirac equation (English)

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Discrete and Continuous Dynamical Systems. Series B

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publication date

18 April 2023

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zbMATH Keywords

nonlinear Dirac equation

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SAV approximation

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spectral method

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error estimate

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdsb.2022225

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

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Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

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Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows

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Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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

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High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach

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A variant of scalar auxiliary variable approaches for gradient flows

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High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation

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Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

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Quantum theory, groups, fields and particles

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Interaction for the solitary waves of a nonlinear Dirac model

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Spectral Methods

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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A Remark on the Coupling of Gravitation and Electron

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Numerical methods for nonlinear Dirac equation

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Explicit high-order energy-preserving exponential time differencing method for nonlinear Hamiltonian PDEs

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations

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Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/DCDSB.2022225

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Sitelinks

Mathematics(1 entry)

mardi Publication:2697264

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