# Symplectic Model-Reduction with a Weighted Inner Product

@article{Afkham2018SymplecticMW, title={Symplectic Model-Reduction with a Weighted Inner Product}, author={Babak Maboudi Afkham and Ashish Bhatt and Bernard Haasdonk and Jan S. Hesthaven}, journal={arXiv: Numerical Analysis}, year={2018} }

In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In the context of Hamiltonian systems, symplectic model reduction seeks to construct a reduced system that preserves the symplectic symmetry of Hamiltonian systems. However, symplectic methods are based on the standard Euclidean inner products and are not suitable for problems equipped with a more…

## 3 Citations

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