Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

Zoe Brown, a mathematics graduate student from London, Ky., is the 2025-26 recipient of WKU’s John D. Minton Award.

Now, artificial intelligence (AI) tools are providing powerful new ways to address long-standing problems in physics. “The ...

In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions to nonlinear differential equations used to model turbulence.

In this tutorial, we explore how to solve differential equations and build neural differential equation models using the Diffrax library. We begin by setting up a clean computational environment and ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

Elvis Picardo is a regular contributor to Investopedia and has 25+ years of experience as a portfolio manager with diverse capital markets experience. Suzanne is a content marketer, writer, and ...

Differential equations are the backbone of mathematical modeling, describing relationships between a function and its derivatives. They appear everywhere, from physics and engineering to economics and ...

The rapid growth of large-scale neuroscience datasets has spurred diverse modeling strategies, ranging from mechanistic models grounded in biophysics, to phenomenological descriptions of neural ...

The Rule of 72 is a shortcut or rule of thumb used to estimate the number of years required to double your money at a given ...

Economists have developed different types of models describing the interaction of agents in markets. Early models in general equilibrium theory describe agents taking prices as given and do not ...

Abstract: An analog memristor-crossbar-array-based non-linear partial differential equation (PDE) solver is developed and verified through circuit-level simulations using realistic memristor device ...