The numerical analysis on a Volterra equation with asymptotically periodic solution

DOI10.1016/j.cam.2011.06.024zbMath1233.65102OpenAlexW1973954241MaRDI QIDQ651899

Da Xu

Publication date: 19 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.06.024

zbMATH Keywords

periodic solutionbackward Euler approximationVolterra integro-differential equationconvolution kernelstability estimates\(l^1\) remainder behaviororder one operational quadraturepiecewise linear kernel

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

Cites Work

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• Stability of the difference type methods for linear Volterra equations in Hilbert spaces
• Convolution quadrature and discretized operational calculus. I
• The global behavior of time discretization for an abstract Volterra equation in Hilbert space
• The long-time global behavior of time discretization for fractional order Volterra equations
• Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel
• Uniform l1 behaviour for time discretization of a Volterra equation with completely monotonic kernel: I. stability
• Uniform $l^{1}$ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence
• Uniform Boundedness in a Class of Volterra Equations
• Uniform $L^1 $ Behavior for an Integrodifferential Equation with Parameter
• An L 1 Remainder Theorem for an Integrodifferential Equation with Asymptotically Periodic Solution
• A Nonhomogeneous Integrodifferential Equation in Hilbert Space
• Indirect Abelian Theorems and a Linear Volterra Equation

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