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Solving differential equations: Euler vs. Runge-Kutta 4

Learn how to solve differential equations using Euler and Runge-Kutta 4 methods! This tutorial compares both techniques, explaining accuracy, step size, and practical applications for physics and ...
Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...
IEEE

Sampled-Data Connectivity-Preserving Consensus for Multiple Heterogeneous Euler-Lagrange Systems

Abstract: This paper aims to establish a sampled-data framework to solve the consensus problem for multiple heterogeneous Euler-Lagrange systems (MHELSs). The systems under consideration have ...
IEEE

Secure Consensus for Multi-Agent Systems With Euler-Lagrange Dynamics and Multiple DoS Attacks

Abstract: This article is focused on the secure consensus of multi-agent systems (MASs) with Euler-Lagrange (EL) dynamics and multiple DoS attacks. First, a new model of the multiple DoS attacks is ...