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

被引：3

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.

引用

页数：21

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[16]

Schrammer S., 2022, THESIS KARLSUHER I T, DOI [10.5445/IR/1000148853, DOI 10.5445/IR/1000148853]

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