2026-04-20T17:30:02Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/79652023-11-10T01:05:30Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230
Repositorio Institucional de la Universidad de Burgos
author
Alonso Mallo, Isaías
author
Cano, Begoña
author
Reguera López, Nuria
2023-11-09T08:28:23Z
2023-11-09T08:28:23Z
2018-08
0272-4979
http://hdl.handle.net/10259/7965
10.1093/imanum/drx047
1464-3642
It is well known the order reduction phenomenon which arises when exponential methods are used to
integrate time-dependent initial boundary value problems, so that the classical order of these methods is
reduced. In particular, this subject has been recently studied for Lie–Trotter and Strang exponential splitting
methods, and the order observed in practice has been exactly calculated. In this article, a technique is
suggested to avoid that order reduction. We deal directly with nonhomogeneous time-dependent boundary
conditions, without having to reduce the problem to the homogeneous ones. We give a thorough error
analysis of the full discretization and justify why the computational cost of the technique is negligible in
comparison with the rest of the calculations of the method. Some numerical results for dimension splittings
are shown, which corroborate that much more accuracy is achieved.
eng
Exponential Lie-Trotter
Exponential Strang
Avoiding order reduction
Initial boundary value problems
Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
info:eu-repo/semantics/article
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URL
https://riubu.ubu.es/bitstream/10259/7965/1/Alonso-imajna_2018.pdf
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Alonso-imajna_2018.pdf