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

被引：0
|
作者：
Marlis Hochbruck
Markus Neher
Stefan Schrammer
机构：
[1] Karlsruhe Institute of Technology,Institute for Applied and Numerical Mathematics
来源：
BIT Numerical Mathematics | 2023年 / 63卷
关键词：
Dynamical low-rank approximation; Matrix differential equations; 65L04; 65L05; 65L70;
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学科分类号：
摘要：
In 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.
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