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oai:uvadoc.uva.es:10324/417672025-03-26T19:10:03Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Cano Urdiales, Begoña Moreta, María Jesús 2020-07-31T15:56:13Z 2020-07-31T15:56:13Z 2020 Applied Mathematics and Computation, 2020, vol 373, página 125022 http://uvadoc.uva.es/handle/10324/41767 10.1016/j.amc.2019.125022 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 eng info:eu-repo/semantics/restrictedAccess A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems info:eu-repo/semantics/article