Operator inference driven data assimilation for high fidelity neutron transport

W Xiao, X Liu, J Zu, X Chai, H He, T Zhang - Computer Methods in Applied …, 2024 - Elsevier
This paper presents a novel reduced-order model (ROM) based data assimilation framework
for parametric high-fidelity time-dependent neutron transport equations (TNTE). The ROM is …

A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation

W Zhao, GR Piao - Journal of Inequalities and Applications, 2023 - Springer
This paper investigates reduced-order modeling of the Korteweg de Vries regularized long-
wave Rosenau (KdV-RLW-Rosenau) equation using semi-and fully-discrete B-spline …

Numerical Analysis for a Non-isothermal Incompressible Navier–Stokes–Allen–Cahn System

DA Rueda-Gómez, EE Rueda-Fernández… - Journal of Mathematical …, 2024 - Springer
In this paper we develop the numerical analysis for a non-isothermal diffuse-interface model,
in dimension N= 2, 3, that describes the movement of a mixture of two incompressible …