Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...

Discover how the equation of exchange links money supply, velocity of money, and price levels, influencing inflation and economic activity. Learn key formulas and impacts.

Meta's work made headlines and raised a possibility once considered pure fantasy: that AI could soon outperform the world's best mathematicians by cracking math's marquee "unsolvable" problems en ...

CÆLUM is a hydrodynamic solver for compressible flows, which solves the Euler equations of gas dynamics by means of very high order essentially non-oscillatory finite volume schemes in cartesian ...

In this tutorial, I walk you through solving boundary value problems using the Shooting Method in Python. Learn how to apply this numerical technique to find solutions for differential equations with ...

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 ...