no code implementations • 27 Feb 2024 • Zijie Li, Saurabh Patil, Francis Ogoke, Dule Shu, Wilson Zhen, Michael Schneier, John R. Buchanan, Jr., Amir Barati Farimani
Neural networks have shown promising potential in accelerating the numerical simulation of systems governed by partial differential equations (PDEs).
no code implementations • 8 Oct 2020 • Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu
In particular, we study the role played by difference quotients (DQs) in obtaining reduced order model (ROM) error bounds that are optimal with respect to both the time discretization error and the ROM discretization error.
Numerical Analysis Numerical Analysis