RT Journal Article
T1 Exponential quadrature rules without order reduction for integrating linear initial boundary value problems
A1 Cano Urdiales, Begoña
A1 Moreta Santos, 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 both for the classical approach of integrating the problem first in space and then in time and for doing it in the reverse order in a suitable manner. Time-dependent boundary conditions are considered with both approaches and full discretization formulas are given to implement the methods once the quadrature nodes have been chosen for the time integration and a particular (although very general) scheme is selected for the space discretization. Numerical experiments are shown which corroborate that, for example with the suggested technique, order 2s is obtained when choosing the s nodes of the Gaussian quadrature rule.
PB Society for Industrial and Applied Mathematics
SN 0036-1429
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/12345
UL https://hdl.handle.net/20.500.14352/12345
LA eng
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Junta de Castilla y León
DS Docta Complutense
RD 9 abr 2025