Density-matrix renormalization for model reduction in nonlinear dynamics.
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.
Bogner
Thorsten
T
Condensed Matter Theory Group, Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany.