Dynamical low-rank integrators for second-order matrix differential equations-Reference-Cited by-同舟云学术

Dynamical low-rank integrators for second-order matrix differential equations

Published:2023-01-30 Issue:1 Volume:63 Page:
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Hochbruck Marlis^ORCID,Neher Markus,Schrammer Stefan^ORCID

Abstract

AbstractIn this paper, we construct and analyze a new dynamical low-rank integrator for second-order matrix differential equations. The method is based on a combination of the projector-splitting integrator introduced in Lubich and Oseledets (BIT 54(1):171–188, 2014. https://doi.org/10.1007/s10543-013-0454-0) and a Strang splitting. We also present a variant of the new integrator which is tailored to semilinear second-order problems.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

https://link.springer.com/content/pdf/10.1007/s10543-023-00941-7.pdf

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