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, Begoña
A1 Reguera López, Nuria
K1 Exponential Lie-Trotter
K1 Exponential Strang
K1 Avoiding order reduction
K1 Initial boundary value problems
K1 Matemáticas
K1 Mathematics
AB It is well known the order reduction phenomenon which arises when exponential methods are used tointegrate time-dependent initial boundary value problems, so that the classical order of these methods isreduced. In particular, this subject has been recently studied for Lie–Trotter and Strang exponential splittingmethods, and the order observed in practice has been exactly calculated. In this article, a technique issuggested to avoid that order reduction. We deal directly with nonhomogeneous time-dependent boundaryconditions, without having to reduce the problem to the homogeneous ones. We give a thorough erroranalysis of the full discretization and justify why the computational cost of the technique is negligible incomparison with the rest of the calculations of the method. Some numerical results for dimension splittingsare shown, which corroborate that much more accuracy is achieved.
PB Oxford University Press
SN 0272-4979
YR 2018
FD 2018-08
LK http://hdl.handle.net/10259/7965
UL http://hdl.handle.net/10259/7965
LA eng
NO Ministerio de Ciencia e Innovacion project [MTM2015-66837-P].
DS Repositorio Institucional de la Universidad de Burgos
RD 23-nov-2024