Controlling and trapping molecules, units of a substance consisting of two or more chemically bound atoms, with laser light ...

"key_insight": "VFEAgent automates finite element analysis end-to-end from images and text by combining multimodal reasoning with verification-first code generation ...

This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The ...

Abstract: A broad range of scientific simulations involve solving large-scale computationally expensive linear systems of equations. Iterative solvers are typically preferred over direct methods when ...

A unified end-to-end learning and control framework that is able to learn a (neural) control objective function, dynamics equation, control policy, or/and optimal trajectory in a control system.

The study of the geometric organization of biological tissues has a rich history in the literature. However, the geometry and architecture of individual cells within tissues has traditionally relied ...

1 Department of Mathematics, Umm Al-Qura University, Mecca, Saudi Arabia. 2 Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Mecca, Saudi Arabia. Allen-Cahn equation ...

I am an applied mathematician. My research area is computational fluid dynamics, which involves developing, analyzing, and implementing algorithms (numerical methods) that allow us to model situations ...

Abstract: The Hamilton–Jacobi (HJ) reachability is a promising tool for guaranteeing goal satisfaction and safety for multivehicle systems. However, a direct application of HJ reachability in most ...

Physics of Fluids Group, Department of Science and Technology, Mesa+ Institute for Nanotechnology, Max Planck Center for Complex Fluid Dynamics and J. M. Burgers Centre for Fluid Dynamics, University ...