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 ...
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Maxwell's Equations in Differential Form Using Stoke's and Divergence Theorems
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 ...
Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...
Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...
Gemini 2.5 Deep Think scores competitive coding gold in ‘profound leap’ for abstract problem-solving
After a mathematics win in July, Gemini 2.5 Deep Think has now earned a gold-medal level performance in competitive coding. The International Collegiate Programming Contest (ICPC) is the “oldest, ...
This week could be the perfect time to test a differential captain in FPL Q: Who should I captain this week? A: The armband call is tricky. Salah has the Merseyside derby against an in-form Everton, ...
Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...
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) ...
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