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math.NA2024
Mathematical Considerations on Randomized Orthgonal Decomposition Method for Developing Twin Data Models
Diana A. Bistrian
This paper introduces the approach of Randomized Orthogonal Decomposition (ROD) for producing twin data models in order to overcome the drawbacks of existing reduced order modellin…
math.NA2024
Reduced-order modelling based on Koopman operator theory
Diana A. Bistrian, Gabriel Dimitriu, Ionel M. Navon
The present study focuses on a subject of significant interest in fluid dynamics: the identification of a model with decreased computational complexity from numerical code output u…
math.NA2022★ 2 cited
Sketching Methods for Dynamic Mode Decomposition in Spherical Shallow Water Equations
Shady E. Ahmed, Omer San, Diana A. Bistrian +1
Dynamic mode decomposition (DMD) is an emerging methodology that has recently attracted computational scientists working on nonintrusive reduced order modeling. One of the major st…