Conformal mapping, a central concept in complex analysis, involves the transformation of one complex domain onto another while preserving local angles and shapes. This powerful tool has long been used ...
Functional integral equations constitute a broad class of problems in which an unknown function appears under an integral sign. These equations play a pivotal role in modelling complex phenomena in ...
SIAM Journal on Numerical Analysis, Vol. 43, No. 6 (2006), pp. 2251-2271 (21 pages) Matrix compression techniques in the context of wavelet Galerkin schemes for boundary integral equations are ...
A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...
Analogue computer: Brian Edwards (left), Nader Engheta (centre) and Nasim Mohammadi Estakhri show-off their microwave protoype. (Courtesy: Eric Sucar/University of Pennsylvania) Metamaterials have ...
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AI tackles notoriously complex equations, enabling faster advances in drug and material design
It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time. Subscribe to our newsletter for the latest sci-tech news updates. Dr. Shuiwang Ji, a ...
Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...
This chaotic-looking "double pendulum" follows a large number of rules that govern its motion. Researchers have trained AI to take data from its movements to uncover simple equations that successfully ...
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