Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics

Details Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics

2007-07-30

arxiv.org/abs/0707.4384v3

Physics

Computational Physics

12 pages, 12 figures

Scientific paper

10.1103/PhysRevE.76.056707

We present a novel approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition (POD). Our method, derived from Density Matrix Renormalization Group (DMRG), 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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