The standard monograph in this area is the book Exponential fitting by Ixaru and Vanden
Berghe (Kluwer, Boston-Dordrecht-London, 2004) but a fresh look on things is necessary …

This paper concerns the construction of a general class of exponentially fitted two-step
implicit peer methods for the numerical integration of Ordinary Differential Equations (ODEs) …

This paper is focused on the accurate and efficient solution of partial differential differential
equations modelling a diffusion problem by means of exponentially fitted finite difference …

The present paper illustrates the construction of direct quadrature methods of arbitrary order
for Volterra integral equations with periodic solution. The coefficients of these methods …

We propose two-step collocation methods for the numerical solution of fractional differential
equations. These methods increase the order of convergence of one-step collocation …

In this paper, we present a general class of exponentially fitted two-step peer methods for
the numerical integration of ordinary differential equations. The numerical scheme is …

Abstract Modified Gauss–Laguerre exponentially fitted quadrature rules are introduced for
the computation of integrals of oscillatory functions over the whole positive semiaxis. Their …

A direct quadrature method for the solution of Volterra integral equations with periodic
solution is proposed. This method is based on an exponentially fitted quadrature rule of …

The exponential fitting technique uses information on the expected behaviour of the solution
of ordinary and partial differential equations to define accurate and efficient numerical …

This work is dedicated to introducing the properties and application of Eta functions. We
derive the properties of the Eta function, such as the generating function, integral …