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

References

Publications referenced by this paper.
Showing 1-10 of 48 references

Introduction to Mechanics and Symmetry

  • J. E. Marsden, T. S. Ratiu
  • 2nd ed., Texts Appl. Math. 17, Springer-Verlag…
  • 1999
Highly Influential
6 Excerpts

The reduced basis method for incompressible viscous flow calculations , Society 820 for Industrial and Applied Mathematics

  • J. S. Peterson
  • Journal on Scientific and Statistical Computing
  • 2016

Block symplectic Gram-Schmidt method

  • Y. Matsuo, T. Nodera
  • ANZIAM J. Electron. Suppl., 56
  • 2014
1 Excerpt

Equivalence between modified symplectic Gram-Schmidt and Householder SR algorithms

  • A. Salam, E. Al-Aidarous
  • BIT, 54
  • 2014
2 Excerpts

Similar Papers

Loading similar papers…