Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel
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Publication:2017955
DOI10.1007/s10092-012-0075-zzbMath1317.65260OpenAlexW2019416994MaRDI QIDQ2017955
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
numerical exampleuniform convergenceCauchy problemerror estimateCrank-Nicolson methodlinear Volterra integro-differential equation\(l_1\) stability
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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