RT Journal Article
T1 A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems
A1 Cano, B.
A1 Moreta Santos, María Jesús
AB 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.
PB Elsevier
SN 0096-3003
YR 2020
FD 2020-01-21
LK https://hdl.handle.net/20.500.14352/112195
UL https://hdl.handle.net/20.500.14352/112195
LA eng
NO B. Cano y M. J. Moreta. A modified Gautchi’s method without order reduction when integrating boundary value nonlinear wave problems, Applied Mathematics and Computation, Vol. 373 (2020). Article 125022.
NO Ministerio de Ciencia e Innovación
NO Junta de Castilla y León
DS Docta Complutense
RD 10 abr 2025