2026-04-20T15:52:52Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/79682023-11-10T01:05:33Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost? Cano, Begoña Reguera López, Nuria Avoiding order reduction Efficiency Krylov methods In previous papers, a technique has been suggested to avoid order reduction when integrating initial boundary value problems with several kinds of exponential methods. The technique implies in principle to calculate additional terms at each step from those already necessary without avoiding 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 doing it 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. 2023-11-09T10:25:56Z 2023-11-09T10:25:56Z 2021-04 info:eu-repo/semantics/article http://hdl.handle.net/10259/7968 10.3390/math9091008 2227-7390 eng Mathematics. 2021, V. 9, n. 9, 1008 https://doi.org/10.3390/math9091008 http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional MDPI