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

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

Abstract: The marine controlled-source electromagnetic (MCSEM) method is widely used in offshore oil and gas exploration. In this letter, we present a space-wavenumber domain integral equation (IE) ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...