We introduce two direct quadrature methods based on linear rational interpolation for
solving general Volterra integral equations of the second kind. The first, deduced by a direct …

This paper introduces a family of barycentric rational predictor-corrector schemes based on
the Floater–Hormann family of linear barycentric rational interpolants (LBRIs) for the …

In this paper, two applications of linear barycentric rational interpolation are used to derive a
difference-quadrature scheme for solving a class of systems of Volterra integro-differential …

In this paper, an accurate numerical method based on the cosine-trigonometric basis
functions is developed to solve the Fredholm integral equations of the second kind. By using …

Backward differential formulae (BDF) are the basis of the highly efficient schemes for the
numerical solution of stiff ordinary differential equations for decades. An alternative multistep …

This paper is concerned with the numerical solution of auto-convolution Volterra integral
equations. A composite quadrature method based on linear barycentric rational interpolation …

It is our purpose to introduce a simple multistep method based on linear barycentric rational
interpolation for solving ordinary differential equations. Also, we design an adaptive version …

In this paper, we investigate multistep Runge–Kutta methods for Volterra integro-differential
equations. First, we derive order conditions for methods of order p and stage order q= p− 1 …

Abstract The Floater–Hormann family of the barycentric rational interpolants has recently
gained popularity because of its excellent stability properties and highly order of …

The advantages of the barycentric rational interpolation (BRI) introduced by Floater and
Hormann include the stability of interpolation, no poles, and high accuracy for any …