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 a class of nonlinear two-step methods for solving second order
oscillatory IVPs is analyzed. These methods are exact for the linear space generated by the …

The construction of optimized explicit two-step hybrid methods for solving orbital problems
and oscillatory second order IVPs is analyzed. These methods have variable coefficients …

This paper describes a third‐derivative hybrid multistep technique (TDHMT) for solving
second‐order initial‐value problems (IVPs) with oscillatory and periodic problems in …

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 …

The numerical solution of reaction–diffusion equations of λ–ω type, which are known to
possess a one-parameter family of periodic plane wave solutions, is object of this paper …

It is the purpose of this paper to derive two-step hybrid methods for y ″= f (x, y), with
oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the …