Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains
type: Item
instance of: scholarly article
title: Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains
zbMATH Open document ID: 1503.65262
author: Yanyan Li
published in: Journal of Scientific Computing
publication date: 2022-12-13T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7632622
zbMATH Keywords: nonlinear wave system
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: mapped Gegenbauer function
zbMATH Keywords: ESAV
zbMATH Keywords: unbounded domains
MaRDI profile type: Publication
full work available at URL: s10915-022-02008-1
OpenAlex ID: W4303411355
cites work: Nonlinear dynamics of coupled chains of particles
cites work: Dissipation-preserving spectral element method for damped seismic wave equations
cites work: Laguerre functions and their applications to tempered fractional differential equations on infinite intervals
cites work: A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
cites work: Numerical methods for nonlocal and fractional models
cites work: Nonlocal Modeling, Analysis, and Computation
cites work: Q4275389
cites work: IMEX Hermite--Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions
cites work: Well-posedness of the diffusive-viscous wave equation arising in geophysics
cites work: A system of quadratic nonlinear Klein-Gordon equations in 2d
cites work: A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations
cites work: A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation
cites work: On the exchange of energy in coupled Klein --- Gordon equations
cites work: Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications
cites work: Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
cites work: Energy stability and convergence of SAV block-centered finite difference method for gradient flows
cites work: What is the fractional Laplacian? A comparative review with new results
cites work: A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line
cites work: The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
cites work: Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
cites work: Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
cites work: Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
cites work: A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
DOI: 10.1007/S10915-022-02008-1
description: scientific article; zbMATH DE number 7632622