Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
IEEE

Finite-Difference Time-Domain Simulation of Wave Propagation in Space-Time-Varying Media: Derivation of schemes, extended framework, and illustrative examples

Abstract: We present a comprehensive tutorial on the finite-difference time-domain (FDTD) modeling of space, time, and space-time-varying media, building upon our previous review by offering a ...
GitHub

optical-imaging/photonic-fdfd-toolbox

Photonic Finite-Difference Frequency-Domain (FDFD) Toolbox is a MATLAB Community Toolbox project, aiming to provide intuitive framework for photonic devices simulation using MATLAB. Note: The toolbox ...
IEEE

Finite Elements and Integro-Differential Methods Are Equivalent for Description of Rotational Dynamics of Spherical Particle During Its Magnetic Alignment

Abstract: Rotational dynamics of spherical micro-particle in a strong external magnetic field and water as a liquid medium during the particle’s alignment was numerically modeled using two different ...