RT Journal Article
T1 Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods
A1 Moreta Santos, María Jesús
A1 Bujanda, Blanca
A1 Jorge, Juan Carlos
AB We study some of the main features of Fractional Step Runge-Kutta-Nystr¨om methods when they are used to integrate Initial-Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. We focus our attention in the order reduction phenomenon, which appears if classical boundary conditions are taken at the internal stages. This drawback is specially hard when time dependent boundary conditions are considered. In this paper we present an efficient technique, very simple and computationally cheap, which allows us to avoid the order reduction; such technique consists of modifying the boundary conditions for the internal stages of the method.
PB Elsevier
SN 0898-1221
YR 2016
FD 2016-04
LK https://hdl.handle.net/20.500.14352/23401
UL https://hdl.handle.net/20.500.14352/23401
LA eng
NO Preprint del artículo publicado en CAMWA:Article title: Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methodsArticle reference: CAMWA8205Journal title: Computers and Mathematics with ApplicationsCorresponding author: Dr. M. J. MoretaFirst author: Dr. M. J. MoretaFinal version published online: 24-MAR-2016Full bibliographic details: Computers and Mathematics with Applications 71 (2016), pp. 1425-1447DOI information: 10.1016/j.camwa.2016.02.015
DS Docta Complutense
RD 11 may 2025