Stability of collocation for weakly singular Volterra equations

DOI10.1093/imanum/15.3.357zbMath0830.65135OpenAlexW2029706121MaRDI QIDQ4843453

Luise Blank

Publication date: 4 February 1996

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/15.3.357

zbMATH Keywords

stabilitycollocation methodsweakly singular Volterra equationVolterra-Abel integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (10)

A kind of product integration scheme for solving fractional ordinary differential equations ⋮ Stability results for collocation methods for Volterra integral equations ⋮ Stability of two-step spline collocation methods for initial value problems for fractional differential equations ⋮ Collocation methods for fractional integro-differential equations with weakly singular kernels ⋮ Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel ⋮ Stability analysis of spline collocation methods for fractional differential equations ⋮ Abel's integral operator: sparse representation based on multiwavelets ⋮ Superfast solution of linear convolutional Volterra equations using QTT approximation ⋮ Stability of discrete volterra equations of hammerstein type ⋮ A perspective on the numerical treatment of Volterra equations

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