RT info:eu-repo/semantics/article
T1 Exponential quadrature rules without order reduction for integrating linear initial boundary value problems
A1 Cano Urdiales, Begoña
A1 Moreta, María Jesús
AB In this paper a technique is suggested to integrate linear initial boundary value problems with exponential quadrature rules in such a way that the order in time is as high as possible.A thorough error analysis is given for both the classical approach of integrating the problem  rstly in space and then in time and of doing it in the reverse order in a suitable manner. Time-dependentboundary conditions are considered with both approaches and full discretization formulas are givento implement the methods once the quadrature nodes have been chosen for the time integrationand a particular (although very general) scheme is selected for the space discretization. Numericalexperiments are shown which corroborate that, for example, with the suggested technique, order 2sis obtained when choosing the s nodes of Gaussian quadrature rule.
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/39073
UL http://uvadoc.uva.es/handle/10324/39073
LA eng
NO SIAM Journal on Numerical Analysis 56-3, p. 1187-1209, 2018
DS UVaDOC
RD 26-abr-2024