RT info:eu-repo/semantics/article T1 Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost? A1 Cano Urdiales, BegoƱa AB In previous papers, a technique has been suggested to avoid order reduction when inte-grating initial boundary value problems with several kinds of exponential methods. The techniqueimplies in principle to calculate additional terms at each step from those already necessary withoutavoiding order reduction. The aim of the present paper is to explain the surprising result that,many times, in spite of having to calculate more terms at each step, the computational cost of doingit through Krylov methods decreases instead of increases. This is very interesting since, in that way,the methods improve not only in terms of accuracy, but also in terms of computational cost. PB MDPI YR 2021 FD 2021 LK https://uvadoc.uva.es/handle/10324/65617 UL https://uvadoc.uva.es/handle/10324/65617 LA eng NO Mathematics Abril 2021, 9(9), 1008 DS UVaDOC RD 03-dic-2024