A compute-bound formulation of Galerkin model reduction for linear time-invariant dynamical systems

@article{Rizzi2020ACF,
  title={A compute-bound formulation of Galerkin model reduction for linear time-invariant dynamical systems},
  author={Francesco Rizzi and Eric J. Parish and Patrick Blonigan and John Tencer},
  journal={ArXiv},
  year={2020},
  volume={abs/2009.11742}
}
This work aims to advance computational methods for projection-based reduced order models (ROMs) of linear time-invariant (LTI) dynamical systems. For such systems, current practice relies on ROM formulations expressing the state as a rank-1 tensor (i.e., a vector), leading to computational kernels that are memory bandwidth bound and, therefore, ill-suited for scalable performance on modern many-core and hybrid computing nodes. This weakness can be particularly limiting when tackling many-query… Expand

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