RT info:eu-repo/semantics/article
T1 Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
A1 Alonso Mallo, Isaías
A1 Cano Urdiales, Begoña
A1 Reguera, Nuria
AB It is well known the order reduction phenomenon which arises whenexponential methods are used to integrate in time initial boundaryvalue problems, so that the classical order of these methods isreduced.  In particular, this subject has beenrecently studied for Lie-Trotter and Strang exponential splittingmethods, and the order observed in practice has been exactlycalculated. In this paper, a technique is suggested to avoid thatorder reduction. We deal directly with non-homogeneoustime-dependent boundary conditions, without having to reduce theproblem to homogeneous ones. We give a thorough error analysis ofthe full discretization and justify why the computational cost ofthe technique is negligible in comparison with the rest of thecalculations of the method. Some numerical results for dimensionsplittings are shown which corroborate that much more accuracy isachieved.
PB Oxford Academic
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/24417
UL http://uvadoc.uva.es/handle/10324/24417
LA spa
NO IMA J. Numer. Anal.
DS UVaDOC
RD 22-nov-2024