Numerical approximation and analysis for partial integrodifferential equations of hyperbolic type
type: Item
instance of: scholarly article
title: Numerical approximation and analysis for partial integrodifferential equations of hyperbolic type
zbMATH Open document ID: 1548.6541
author: Wenlin Qiu
author: Xiangcheng Zheng
author: Xu Xiao
author: Hong Wang
published in: Journal of Integral Equations and Applications
publication date: 2024-11-05T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 7939238
zbMATH Keywords: convolution quadrature
zbMATH Keywords: error estimate
zbMATH Keywords: hyperbolic integrodifferential equation
zbMATH Keywords: long-time stability
zbMATH Keywords: memory kernel
MaRDI profile type: Publication
cites work: Decay estimates for second order evolution equations with memory
cites work: ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
cites work: Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
cites work: The square root of a positive self-adjoint operator
cites work: Existence and decay of solutions of a viscoelastic equation with a nonlinear source
cites work: Integro-differential equations of hyperbolic type with positive definite kernels
cites work: A computational approach to exponential-type variable-order fractional differential equations
cites work: Global existence for elastic waves with memory
cites work: Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data
cites work: A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations
cites work: Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
cites work: Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels
cites work: Discretized Fractional Calculus
cites work: Convolution quadrature and discretized operational calculus. I
cites work: Global existence and asymptotic behavior for a fractional differential equation
cites work: Numerical methods for hyperbolic and parabolic integro-differential equations
cites work: Positivity and regularity of hyperbolic Volterra equations in Banach spaces
cites work: Evolutionary Integral Equations and Applications
cites work: Decay properties for the solutions of a partial differential equation with memory
cites work: ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations
cites work: Q5846853
cites work: Uniform l1 behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel I: stability
cites work: Uniform \(l^1\) convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates
cites work: Decay properties for the numerical solutions of a partial differential equation with memory
cites work: Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
DOI: 10.1216/JIE.2024.36.471
description: scientific article; zbMATH DE number 7939238