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math.NA2026
A diffusion-free multi-layer neural-network method for multidimensional nonlinear hyperbolic equations
Emmanuel Lorin, Arian Novruzi
This paper is devoted to the non-diffusive computation of solutions to -dimensional hyperbolic systems of conservation laws (HCL) and more specifically the accurate approximatio…
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 velocity solution to the generalized Stokes equations with Dirichlet boundary conditions in dimension two and three is the superposition of two divergence-free…