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

被引：2
|
作者：
Hochbruck, Marlis [1 ]
Neher, Markus [1 ]
Schrammer, Stefan [1 ]
机构：
[1] Karlsruhe Inst Technol, Inst Appl & Numer Math, Karlsruhe, Germany
来源：
BIT NUMERICAL MATHEMATICS | 2023年 / 63卷 / 01期
关键词：
Dynamical low-rank approximation; Matrix differential equations; PROJECTOR-SPLITTING INTEGRATOR; TIME INTEGRATION;
D O I：
10.1007/s10543-023-00941-7
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
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. ) 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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页数：21
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