2026-04-20T19:17:09Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/80732023-11-22T01:05:13Zcom_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
2023-11-21T10:47:38Z
2023-11-21T10:47:38Z
2021-06
0006-3835
http://hdl.handle.net/10259/8073
10.1007/s10543-021-00879-8
1572-9125
It is well known that Lawson methods suffer from a severe order reduction when integrating initial boundary value problems where the solutions are not periodic in space or do not satisfy enough conditions of annihilation on the boundary. However, in a previous paper, a modification of Lawson quadrature rules has been suggested so that no order reduction turns up when integrating linear problems subject to time-dependent boundary conditions. In this paper, we describe and thoroughly analyse a technique to avoid also order reduction when integrating nonlinear problems. This is very useful because, given any Runge–Kutta method of any classical order, a Lawson method can be constructed associated to it for which the order is conserved.
This work 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 projects VA169P20.
application/pdf
eng
Springer
BIT Numerical Mathematics. 2022, V. 62, n. 2, p. 431-463
https://doi.org/10.1007/s10543-021-00879-8
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101443-B-I00/ES/RESOLUCION NUMERICA PRECISA EN TIEMPO DE ECUACIONES EN DERIVADAS PARCIALES/
info:eu-repo/grantAgreement/Junta de Castilla y León//VA169P20//Inversión en tecnologías limpias y políticas medioambientales: Modelización matemática y análisis mediante juegos dinámicos/
Order reduction
Lawson methods
Reaction-diffusion
Initial boundary value problems
Matemáticas
Mathematics
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
info:eu-repo/semantics/openAccess
BIT Numerical Mathematics
62
2
431
463
THUMBNAIL
Cano-BITnm_2022.pdf.jpg
Cano-BITnm_2022.pdf.jpg
IM Thumbnail
image/jpeg
3606
https://riubu.ubu.es/bitstream/10259/8073/3/Cano-BITnm_2022.pdf.jpg
7c00f69652283d599a89cc83933a1283
MD5
3
LICENSE
license.txt
license.txt
text/plain; charset=utf-8
999
https://riubu.ubu.es/bitstream/10259/8073/2/license.txt
b295bcbce42e2caabeb0c623d3860c06
MD5
2
ORIGINAL
Cano-BITnm_2022.pdf
Cano-BITnm_2022.pdf
application/pdf
227835
https://riubu.ubu.es/bitstream/10259/8073/1/Cano-BITnm_2022.pdf
dab50f79d1e6fe1ac15859d67ad3bbfc
MD5
1
10259/8073
oai:riubu.ubu.es:10259/8073
2023-11-22 02:05:13.294
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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