Abstract: We propose and experimentally demonstrate an on-chip all-optical differential-equation solver capable of solving second-order ordinary differential equations (ODEs) characterizing continuous ...
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President Donald Trump and his administration are likely set to challenge a Supreme Court ruling that protected the burning of the American flag under the First Amendment with a new executive order ...
We give an account and a critical analysis of the use of exact and inexact differentials in the early development of mechanics and thermodynamics, and the emergence of differential calculus and how it ...
This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...
Taiwanese Journal of Mathematics, Vol. 10, No. 4 (June 2006), pp. 963-975 (13 pages) We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of ...
This paper addresses the limitations of current neural ordinary differential equations (NODEs) in modeling and predicting complex dynamics by introducing a novel framework called ...
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