This year’s Science Prize for the Promotion of Mathematical Sciences has been awarded to the Italian mathematician Luigi Ambrosio. With the award the Benedictus Gotthelf Teubner Foundation honors his ...

This research communication aims to present a curricular proposal to relate the importance of the application of optimal control theory for dynamic supply chains for industrial engineering students ...

Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

Lindsey Ellefson is Lifehacker’s Features Editor. She currently covers study and productivity hacks, as well as household and digital decluttering, and oversees the freelancers on the sex and ...

Robots often move inefficiently due to slow mathematical computations. Now, a new method called Web of Affine Spaces (WASP) Optimization, developed by Yale’s Professor Danny Rakita and his team, ...

We introduce a self-guided, interactive JupyterLab to familiarize undergraduate students with introductory quantum mechanics concepts. In the lab, the linear variational method is applied to a ...

Microelectromechanical systems (MEMS) are pivotal in diverse fields such as telecommunications, healthcare, and aerospace. A critical challenge in MEMS devices is accurately determining the pull-in ...

Abstract: This paper proposes a novel nonlinear model predictive control (NMPC) method based on geometric variational calculus for high-dynamic and complex motion ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...