Artificial intelligence is rapidly transforming weather prediction, enabling forecasts that once required hours of supercomputing time to run in just minutes. But as AI tools play an expanding role in ...

Erdos, explores what researchers call autoformalization, the process of converting traditional mathematical proofs into formats machines can verify using tools such as Lean and Coq.

Abstract: Nonlinear Fredholm Integral Equation (NFIEs) often arise in the formulation of a wide range of engineering scenarios, including heat transfer, elasticity, modeling of fluids and ...

ReservoirFlow is a modern open-source Python library developed by Zakariya Abugrin at Hiesab; a startup company specialized in advanced analytics, computing, and automation founded in 2024 with a ...

Abstract: The primary objective of this paper is to develop a new method for root-finding by combining forward and finite-difference techniques in order to provide an efficient, derivative-free ...

ABSTRACT: Darcy’s law is the fundamental equation describing the flow of a fluid through a porous medium. Combined with the principle of mass conservation, it leads to the diffusion Equation (e.g., ...