Identifiability is a fundamental concept in parameter estimation, and therefore key to the large majority of environmental modeling applications. Parameter identifiability analysis …
K Lee, KT Carlberg - Journal of Computational Physics, 2020 - Elsevier
Nearly all model-reduction techniques project the governing equations onto a linear subspace of the original state space. Such subspaces are typically computed using methods …
Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations in which the intrinsic solution space falls into a subspace with a small …
W Chen, Q Wang, JS Hesthaven, C Zhang - Journal of computational …, 2021 - Elsevier
A reduced basis method based on a physics-informed machine learning framework is developed for efficient reduced-order modeling of parametrized partial differential equations …
Numerical simulation of parametrized differential equations is of crucial importance in the study of real-world phenomena in applied science and engineering. Computational methods …
M Ohlberger, S Rave - arXiv preprint arXiv:1511.02021, 2015 - arxiv.org
Parametric model order reduction using reduced basis methods can be an effective tool for obtaining quickly solvable reduced order models of parametrized partial differential equation …
B Peherstorfer - SIAM Journal on Scientific Computing, 2020 - SIAM
This work presents a model reduction approach for problems with coherent structures that propagate over time, such as convection-dominated flows and wave-type phenomena …
Q Wang, N Ripamonti, JS Hesthaven - Journal of Computational Physics, 2020 - Elsevier
Closure modeling based on the Mori-Zwanzig formalism has proven effective to improve the stability and accuracy of projection-based model order reduction. However, closure models …