Abstract: This article establishes an approach, based on distributed optimization, for solving continuous-time Lyapunov equations (CTLE) over multiagent networks. Each agent in the network knows ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

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

Many Indian students step into SAT or ACT preparation confident that their strong school grades will ensure similar success ...

Final project @ Numerical Linear Algebra (数值代数) at Peking University. Consider the Stokes equations: $$-\Delta \vec{u} + \nabla p = \vec{F}, (x, y) \in (0,1 ...

A new study enhances hydrogen molecule predictions, achieving unprecedented precision in testing fundamental physics and ...

We know the genes, but not their functions—to resolve this long-standing bottleneck in microbial research, a joint research team has proposed a cutting-edge research strategy that leverages artificial ...

Our teacher already knows there is a positive relationship between how much time was spent on an essay and the grade the essay gets, but we’re going to need some data to demonstrate this properly.

A modular framework implementing Physics-Informed Neural Networks (PINNs) with Gradient Normalization for solving differential equations including Navier-Stokes equations for crystal growth modeling.

Hi, everyone, welcome.I'm Greg, and this is…Mwaksy, where are you?Hello? Hello! I'm here!I'm sorry I'm late, I was setting up a demo. Sure!So, I have a number of ...