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Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains - MaRDI portal

Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains (Q2139018)

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Language	Label	Description	Also known as
English	Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains	scientific article

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scholarly article

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Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains (English)

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Journal of Computational Physics

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publication date

17 May 2022

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zbMATH Keywords

Klein-Gordon-Schrödinger system

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fractional Laplacian

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Hermite function

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ESAV

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unbounded domains

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2022.111096

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On coupled Klein-Gordon-Schrödinger equations. II

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Fractional quantum mechanics and Lévy path integrals

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On the nonlocality of the fractional Schrödinger equation

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What is the fractional Laplacian? A comparative review with new results

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Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\)

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Smoothing for the Zakharov and Klein--Gordon--Schrödinger Systems on Euclidean Spaces

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Singular Limits of Klein–Gordon–Schrödinger Equations to Schrödinger–Yukawa Equations

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Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations

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Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations

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Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

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Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications

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Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications

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Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

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Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains

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Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

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Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains

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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 Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

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The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

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An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

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Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation

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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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Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations

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A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations

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Spectral Methods

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

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Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data

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A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2022.111096

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Sitelinks

Mathematics(1 entry)

mardi Publication:2139018

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