Model reduction methods for nuclear emulators. (1st October 2022)

• Record Type: Journal Article
• Authors: Melendez, J A; Drischler, C; Furnstahl, R J; Garcia, A J; Zhang, Xilin
• Is Part Of: Journal of physics. Volume 49:Number 10(2022)
• Publication Date: 2022-10-01
• Subjects: model reduction -- reduced-order models -- emulators -- Bayesian statistics -- Galerkin projection -- variational principles -- complex simulations -- Ritz projection -- Eigenvector Continuation -- nuclear physics; Nuclear physics -- Periodicals; Particles (Nuclear physics) -- Periodicals; Physique nucléaire -- Périodiques; Particules (Physique nucléaire) -- Périodiques; Kernfysica; Elementaire deeltjes; 539.7
• DOI: 10.1088/1361-6471/ac83dd
• Languages: English
• ISSNs: 0954-3899

Abstract

Abstract: The field of model order reduction (MOR) is growing in importance due to its ability to extract the key insights from complex simulations while discarding computationally burdensome and superfluous information. We provide an overview of MOR methods for the creation of fast & accurate emulators of memory- and compute-intensive nuclear systems, focusing on eigen-emulators and variational emulators. As an example, we describe how 'eigenvector continuation' is a special case of a much more general and well-studied MOR formalism for parameterized systems. We continue with an introduction to the Ritz and Galerkin projection methods that underpin many such emulators, while pointing to the relevant MOR theory and its successful applications along the way. We believe that this guide will open the door to broader applications in nuclear physics and facilitate communication with practitioners in other fields.