Density-matrix renormalization for model reduction in nonlinear dynamics

被引：2
|
作者：
Bogner, Thorsten [1 ]
机构：
[1] Univ Bielefeld, Fak Phys, Condensed Matter Theory Grp, D-33615 Bielefeld, Germany
来源：
PHYSICAL REVIEW E | 2007年 / 76卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.76.056707
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We present an approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition (POD). Our method, derived from the density-matrix renormalization group, provides a significant reduction in computational effort for the calculation of the reduced system, compared to a POD. The efficiency of the algorithm is tested on the one-dimensional Burgers equations and a one-dimensional equation of the Fisher type as nonlinear model systems.
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页数：11
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