Structure Preserving Model Reduction of Parametric Hamiltonian Systems

@article{Afkham2017StructurePM,
title={Structure Preserving Model Reduction of Parametric Hamiltonian Systems},
author={Babak Maboudi Afkham and Jan S. Hesthaven},
journal={SIAM J. Scientific Computing},
year={2017},
volume={39}
}

While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration presents challenges. We present a greedy approach for a ROM generation of parametric Hamiltonian systems that captures the symplectic structure of Hamiltonian systems to ensure stability of the reduced model. Through the greedy selection of basis vectors, two new vectors are added at each iteration to the linear vector… CONTINUE READING