The linear barycentric rational quadrature method for auto-convolution Volterra integral equations

DOI10.1007/s10915-018-0779-6OpenAlexW2811049631WikidataQ129591458 ScholiaQ129591458MaRDI QIDQ1736913

Min Li, Cheng-Ming Huang

Publication date: 26 March 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0779-6

zbMATH Keywords

collocation methodlinear barycentric rational interpolationbarycentric rational quadratureauto-convolution Volterra integral equation

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41-XX)

Related Items (14)

Collocation boundary value methods for auto-convolution Volterra integral equations ⋮ Exponential fitting collocation methods for a class of Volterra integral equations ⋮ Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations ⋮ Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels ⋮ Linear barycentric rational collocation method for solving biharmonic equation ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ Spectral collocation method for convection-diffusion equation ⋮ The generalized quadrature method for a class of highly oscillatory Volterra integral equations ⋮ Unnamed Item ⋮ An \textit{hp}-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels ⋮ Highly stable multistep Runge-Kutta methods for Volterra integral equations ⋮ Numerical solution for third-order two-point boundary value problems with the barycentric rational interpolation collocation method ⋮ Linear barycentric rational method for two-point boundary value equations ⋮ Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels

Uses Software

• Chebfun

Cites Work

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