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Time-dependent Dirac equation with physics-informed neural networks: computation and properties - MaRDI portal

Time-dependent Dirac equation with physics-informed neural networks: computation and properties (Q6043079)

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scientific article; zbMATH DE number 7682149

Language	Label	Description	Also known as
English	Time-dependent Dirac equation with physics-informed neural networks: computation and properties	scientific article; zbMATH DE number 7682149

Statements

scholarly article

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Time-dependent Dirac equation with physics-informed neural networks: computation and properties (English)

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Computer Physics Communications

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publication date

4 May 2023

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full work available at URL

https://arxiv.org/abs/2204.02959

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zbMATH Keywords

physics-informed neural network

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Dirac equation

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quantum relativistic physics

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scientific machine learning

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MaRDI profile type

MaRDI publication profile

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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fPINNs: Fractional Physics-Informed Neural Networks

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Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations

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Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

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Solving the quantum many-body problem with artificial neural networks

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

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Spectral pollution and how to avoid it

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Quantum field theory techniques in graphical enumeration

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

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

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

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A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D

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

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

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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case

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Neural Network Learning

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A Stochastic Approximation Method

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Identifiers

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10.1016/j.cpc.2022.108474

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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:6043079

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