Our new linear symmetric semi-embedded predictor–corrector method (SEPCM) presented
here is based on the multistep symmetric method of Quinlan and Tremaine (1990), with eight …

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 …

The construction of exponentially fitted (EF) two-step hybrid methods for the numerical
integration of oscillatory second-order IVPs is analyzed. These methods integrate exactly …

The paper presents an adapted numerical integration for advection–reaction–diffusion
problems. The numerical scheme, exploiting the a-priori knowledge of the qualitative …

In this paper we study the connection between:(i) closed Newton-Cotes formulae of high
order,(ii) trigonometrically-fitted and exponentially-fitted differential methods,(iii) symplectic …

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 …

It is the purpose of this paper to revise the exponential fitting technique for the numerical
solution of special second order ordinary differential equations (ODEs) y ″= f (x, y), with …

In this paper we introduce a new explicit hybrid Numerov-type method. This method is of
fourth algebraic order and has phase-lag and its first two derivatives equal to zero. We …

It is the purpose of this paper to derive diagonally implicit exponentially fitted (EF) Runge–
Kutta methods for the numerical solution of initial value problems based on first order …