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.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Dynamical density-matrix renormalization-group method
    Jeckelmann, E
    [J]. PHYSICAL REVIEW B, 2002, 66 (04):
  • [22] Spectral densities from dynamic density-matrix renormalization
    Raas, C
    Uhrig, GS
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2005, 45 (03): : 293 - 303
  • [23] Spectral densities from dynamic density-matrix renormalization
    C. Raas
    G. S. Uhrig
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 2005, 45 : 293 - 303
  • [24] DENSITY-MATRIX ALGORITHMS FOR QUANTUM RENORMALIZATION-GROUPS
    WHITE, SR
    [J]. PHYSICAL REVIEW B, 1993, 48 (14): : 10345 - 10356
  • [25] Applications of quantum information in the density-matrix renormalization group
    Legeza, Oe.
    Noack, R. M.
    Solyom, J.
    Tincani, L.
    [J]. COMPUTATIONAL MANY-PARTICLE PHYSICS, 2008, 739 : 653 - +
  • [26] DENSITY-MATRIX FORMULATION FOR QUANTUM RENORMALIZATION-GROUPS
    WHITE, SR
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (19) : 2863 - 2866
  • [27] An improved initialization procedure for the density-matrix renormalization group
    Tezuka, Masaki
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2007, 76 (05)
  • [28] Dynamical nonlinear optical coefficients from the symmetrized density-matrix renormalization-group method
    Pati, SK
    Ramasesha, S
    Shuai, Z
    Brédas, JL
    [J]. PHYSICAL REVIEW B, 1999, 59 (23): : 14827 - 14830
  • [29] Density-matrix renormalization-group simulation of the SU(3) antiferromagnetic Heisenberg model
    Aguado, M.
    Asorey, M.
    Ercolessi, E.
    Ortolani, F.
    Pasini, S.
    [J]. PHYSICAL REVIEW B, 2009, 79 (01):
  • [30] Density-matrix renormalization group study of the incommensurate quantum Frenkel-Kontorova model
    Hu, B.
    Wang, J. X.
    [J]. PHYSICAL REVIEW B, 2006, 73 (18)
12345