Unit-free theorem pinpoints key variables for AI and physics models

Machine learning models are designed to take in data, to find patterns or relationships within those data, and to use what ...
Phys.org

AI techniques excel at solving complex equations in physics, especially inverse problems

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
SciELO

Preparation of a carbon molecular sieve and application to separation of N2, O2 and CO2 in a fixed bed

The emission of CO2 from power plants that burn fossil fuels is the major cause of the accumulation of CO2 in the atmosphere. The separation of CO2 from CO2/air mixtures can play a key role in ...
Live Science

'Dramatic revision of a basic chapter in algebra': Mathematicians devise new way to solve devilishly difficult equations

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...
IEEE

Simulating nonlinear waves and partial differential equations via CNN. I. Basic techniques

Abstract: Cellular neural networks (CNNs)-a paradigm for locally connected analog array-computing structures-are considered for solving partial differential equations (PDE's) and systems of ordinary ...
Scientific Research Publishing

Becker, R., Kapp, H. and Rannacher, R. (2000) Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept. SIAM Journal on Control and ...

ABSTRACT: In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based ...