%0 Journal Article
%A Cano, B.
%A Moreta Santos, María Jesús
%T A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems
%D 2020
%@ 0096-3003
%U https://hdl.handle.net/20.500.14352/112195
%X 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’s method. Moreover, a technique is suggested to avoid that order re- duction 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.
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