Výsledky vyhledávání - "Charous, Aaron"

Dissertation/ Thesis

Dynamical Reduced-Order Models for High-Dimensional Systems

Autor: Charous, Aaron

Advances in computational power have brought the possibility of realistically modeling our world with numerical simulations closer than ever. Nevertheless, our appetite for higher fidelity simulations and faster run times grows quickly; we will alway

Externí odkaz: https://hdl.handle.net/1721.1/151865
https://orcid.org/0000-0001-8421-3027

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Stable rank-adaptive Dynamically Orthogonal Runge-Kutta schemes

Autor: Charous, Aaron, Lermusiaux, Pierre F. J.

We develop two new sets of stable, rank-adaptive Dynamically Orthogonal Runge-Kutta (DORK) schemes that capture the high-order curvature of the nonlinear low-rank manifold. The DORK schemes asymptotically approximate the truncated singular value deco

Externí odkaz: http://arxiv.org/abs/2211.07852

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Deep Reinforcement Learning for Adaptive Mesh Refinement

Autor: Foucart, Corbin, Charous, Aaron, Lermusiaux, Pierre F. J.

Finite element discretizations of problems in computational physics often rely on adaptive mesh refinement (AMR) to preferentially resolve regions containing important features during simulation. However, these spatial refinement strategies are often

Externí odkaz: http://arxiv.org/abs/2209.12351

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Dissertation/ Thesis

High-order retractions for reduced-order modeling and uncertainty quantification

Autor: Charous, Aaron (Aaron Solomon)

Thesis: S.M., Massachusetts Institute of Technology, Center for Computational Science & Engineering, February, 2021
Cataloged from the official PDF version of thesis.
Includes bibliographical references (pages 145-151).
Though computin

Externí odkaz: https://hdl.handle.net/1721.1/130904

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