• Corpus ID: 245353850

Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds

  title={Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds},
  author={Patrick Buchfink and Silke Glas and Bernard Haasdonk},
Classical model reduction techniques project the governing equations onto linear subspaces of the high-dimensional state-space. For problems with slowly decaying Kolmogorov-nwidths such as certain transport-dominated problems, however, classical linear-subspace reducedorder models (ROMs) of low dimension might yield inaccurate results. Thus, the concept of classical linear-subspace ROMs has to be extended to more general concepts, like Model Order Reduction (MOR) on manifolds. Moreover, as we… 

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