Search Results for author: Michael Schneier

Found 2 papers, 0 papers with code

Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations

no code implementations27 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).

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

no code implementations8 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

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