2026-04-20T16:10:00Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/79682023-11-10T01:05:33Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230
Cano, Begoña
db4ff5e6-8b1a-4b7e-b3cd-aaab71a20cbf
600
Reguera López, Nuria
470
600
0000-0002-6219-5531
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
THUMBNAIL
Cano-mathematics_2021.pdf.jpg
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LICENSE
license.txt
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ORIGINAL
Cano-mathematics_2021.pdf
Cano-mathematics_2021.pdf
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https://riubu.ubu.es/bitstream/10259/7968/1/Cano-mathematics_2021.pdf
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10259/7968
oai:riubu.ubu.es:10259/7968
2023-11-10 02:05:33.563
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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