Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics
Computational Physics
2009-11-13 v3 Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.0707.4384,
title = {Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics},
author = {Thorsten Bogner},
journal= {arXiv preprint arXiv:0707.4384},
year = {2009}
}
Comments
12 pages, 12 figures