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facusapienza21 / UDESphere

Fitting Paths in the Sphere using UDEs
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Differential Equations with Contraints #1

Open facusapienza21 opened 10 months ago

facusapienza21 commented 10 months ago

If well any smooth curve can be represented as the solution of a differential equations, what happen if we want solutions that are forced to satisfy certain constraint? Can we derived a stricter smaller family of differential equations that serve as universal approximations of curves satisfying such constrain? This is definitely what we do with algebraic differential equations, but it will be interesting to see how this can be simplified.

facusapienza21 commented 10 months ago

Nice reference on ADE: http://www.scholarpedia.org/article/Differential-algebraic_equations