2026-04-21T05:13:58Zhttps://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

Cano, Begoña Reguera López, Nuria 2023-11-09T10:25:56Z 2023-11-09T10:25:56Z 2021-04 http://hdl.handle.net/10259/7968 10.3390/math9091008 2227-7390 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. This research was funded by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00 and by Junta de Castilla y León and Feder through project VA169P20. eng MDPI Mathematics. 2021, V. 9, n. 9, 1008 https://doi.org/10.3390/math9091008 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Avoiding order reduction Efficiency Krylov methods Matemáticas Mathematics Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost? info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mathematics 9 9