2024-03-28T22:55:59Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/417672021-06-23T11:39:52Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems
Cano Urdiales, Begoña
Moreta, María Jesús
In this paper we analyse the order reduction which turns up when integrating
nonlinear wave problems with non-homogeneous and time-dependent boundary
conditions with the well-known Gautschi method. Moreover, a technique is suggested to avoid that order reduction so that the classical local order 4 and global
order 2 are recovered. On the other hand, the usual approximation for the derivative which is used together with this method is also analysed and a substantial
improvement is suggested. Some numerical results are shown which corroborate
the performed analysis
2020-07-31T15:56:13Z
2020-07-31T15:56:13Z
2020-07-31T15:56:13Z
2020
info:eu-repo/semantics/article
Applied Mathematics and Computation, 2020, vol 373, página 125022
http://uvadoc.uva.es/handle/10324/41767
https://doi.org/10.1016/j.amc.2019.125022
eng
info:eu-repo/semantics/restrictedAccess