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We present Elvet, a Python package for solving differential equations andvariational problems using machine learning methods. Elvet can deal with anysystem of coupled ordinary or partial differential equations with arbitraryinitial and boundary conditions. It can also minimize any functional thatdepends on a collection of functions of several variables while imposingconstraints on them. The solution to any of these problems is represented as aneural network trained to produce the desired function.

Elvet -- a neural network-based differential equation and variational problem solver