RT info:eu-repo/semantics/article T1 A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems A1 Cano Urdiales, Begoña A1 Moreta, María Jesús AB In this paper we analyse the order reduction which turns up when integratingnonlinear wave problems with non-homogeneous and time-dependent boundaryconditions with the well-known Gautschi method. Moreover, a technique is suggested to avoid that order reduction so that the classical local order 4 and globalorder 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 substantialimprovement is suggested. Some numerical results are shown which corroboratethe performed analysis YR 2020 FD 2020 LK http://uvadoc.uva.es/handle/10324/41767 UL http://uvadoc.uva.es/handle/10324/41767 LA eng NO Applied Mathematics and Computation, 2020, vol 373, página 125022 DS UVaDOC RD 07-ago-2024