On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations

Hosseini, Seyyed Ahmad; Abdi, Ali

doi:10.1016/j.apnum.2015.09.005

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Cited by 14 publications

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“…Another familiar class of methods are those based on a direct quadrature rule. Two direct quadrature methods (Global and composite methods) based on the linear barycentric rational quadrature rule have been introduced by Berrut et al (2014) and stability properties for the composite one has been analyzed by Hosseini and the author in Hosseini and Abdi (2016). We refer to , , Berrut and Trefethen (2004) and Klein and Berrut (2012) for discussions of barycentric interpolation and its applications.…”

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confidence: 99%

General linear methods with large stability regions for Volterra integral equations

Abdi

2019

Comp. Appl. Math.

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General linear methods are well-known as a large family of methods for the numerical solution of Volterra integral equations of the second kind. This paper is concerned with the construction of such methods with a large region of order p and high stage order q = p with a large region of absolute stability. Some numerical results are presented which indicate the effectiveness of the proposed schemes.

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