The field of computational electromagnetics and fluid dynamics is experiencing significant advancements, driven by the development of novel numerical methods and techniques. A prominent trend is the increasing use of multiscale methods, phase-field approaches, and data-driven models to simulate complex phenomena, such as magnetohydrodynamic flows, wave propagation in random media, and turbulent flows. These methods enable more accurate and efficient simulations, allowing researchers to tackle challenging problems in various fields, including engineering, physics, and materials science. Noteworthy papers in this area include:

• A new data-driven energy-stable Evolve-Filter-Relax model for turbulent flow simulation, which demonstrates improved accuracy and efficiency in simulating complex flows.
• An exact closure for discrete large-eddy simulation, which provides a novel approach to modeling sub-filter stress tensor and has been shown to be more accurate than traditional methods.
• A fast multipole method for Maxwell's equations in layered media, which enables efficient simulations of electromagnetic waves in complex media.
• An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation, which provides a efficient method for computing eigenvalues and eigenvectors of elliptic boundary value problems.