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 ...
This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...
Deep neural networks have garnered widespread attention due to their simplicity and flexibility in the fields of engineering and scientific calculation. In this study ...
Abstract: In this tutorial we briefly review the fundamentals of analog computing. Starting from the historical use of operational amplifiers to solve differential equations, we show how today the ...
Abstract: This paper presents a systematic and innovative data–driven framework for constructing Mutual Information–enhanced NARX–NN Digital Twins (DTs) of power electronic converters, demonstrated on ...
In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...
Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...
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