title: Density-matrix renormalization for model reduction in nonlinear dynamics.
abstract: 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.
authors.affiliation: Condensed Matter Theory Group, Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany.
authors.forename: Thorsten
authors.initials: T
authors.lastname: Bogner