Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel

DOI10.1007/s10092-012-0075-zzbMath1317.65260OpenAlexW2019416994MaRDI QIDQ2017955

Da Xu

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-012-0075-z

zbMATH Keywords

numerical exampleuniform convergenceCauchy problemerror estimateCrank-Nicolson methodlinear Volterra integro-differential equation\(l_1\) stability

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (4)

Second-order difference approximations for Volterra equations with the completely monotonic kernels ⋮ Polynomially bounded error estimates for trapezoidal rule convolution quadrature ⋮ The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence ⋮ Decay properties for the numerical solutions of a partial differential equation with memory

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