RT info:eu-repo/semantics/article
T1 Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost?
A1 Cano, Begoña
A1 Reguera López, Nuria
K1 Avoiding order reduction
K1 Efficiency
K1 Krylov methods
K1 Matemáticas
K1 Mathematics
AB In previous papers, a technique has been suggested to avoid order reduction when integrating initial boundary value problems with several kinds of exponential methods. The techniqueimplies in principle to calculate additional terms at each step from those already necessary withoutavoiding order reduction. The aim of the present paper is to explain the surprising result that,many times, in spite of having to calculate more terms at each step, the computational cost of doingit through Krylov methods decreases instead of increases. This is very interesting since, in that way,the methods improve not only in terms of accuracy, but also in terms of computational cost.
PB MDPI
YR 2021
FD 2021-04
LK http://hdl.handle.net/10259/7968
UL http://hdl.handle.net/10259/7968
LA eng
NO This research was funded by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00 and by Junta de Castilla y León and Feder through project VA169P20.
DS Repositorio Institucional de la Universidad de Burgos
RD 24-nov-2024