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2D Green's Theorem Example; Solving Both Sides of the Equation

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...
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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 ...
BBC

Solving linear equations - AQA

A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...
IEEE

Federated Scientific Machine Learning for Approximating Functions and Solving Differential Equations With Data Heterogeneity

Abstract: By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs) ...
IEEE

Adversarial and Self-Adaptive Domain Decomposition Physics-Informed Neural Networks (PINNs) for High order Differential Equations with Discontinuities

Abstract: The technique of solving differential equations using Physics-Informed Neural Networks (PINNs) has received extensive attention and application. However, employing neural networks with ...
Steelers Wire

What's driving chronic absenteeism in RI schools, and what's the solution? What we found.

Chronic student absenteeism in Rhode Island remains higher than before the pandemic, affecting 22.5% of students who have missed at least 10% of the school year. Common reasons for absences include ...