# 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}
}
• F. Rizzi, +1 author John Tencer
• Published 24 September 2020
• Physics, Computer Science, Mathematics
• ArXiv
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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