Title
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Abstract
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real axis. It is shown in particular that the new integrators are symmetric and symplectic up to high orders if one uses a symmetric and symplectic basic method. In terms of efficiency, the aforementioned technique requires fewer stages than standard compositions of the same orders and is thus expected to lead to faster methods.
Year
DOI
Venue
2021
10.1016/j.cam.2020.113006
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
Composition methods,Projection on the real-axis,Pseudo-symmetry,Pseudo-symplecticity
Journal
381
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Fernando Casas17418.30
P. Chartier214429.70
Escorihuela-Tomas Alejandro300.34
Yong Zhang410.69