2 papers
math.AP2026
The structure of the solution to the generalized Stokes equations and a new method for solving them
Arian Novruzi
We show that the solution to the generalized Stokes equations with Dirichlet boundary conditions in dimension two or three has a particular structure. Namely, the velocity is t…
math.NA2024
Non-diffusive neural network method for hyperbolic conservation laws
Emmanuel Lorin, Arian Novruzi
In this paper we develop a non-diffusive neural network (NDNN) algorithm for accurately solving weak solutions to hyperbolic conservation laws. The principle is to construct these…