25 citations · 26 across the 8 of their papers we have counts for
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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.NA2024★ 1 cited
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…
math.NA2018
A gradient method in a Hilbert space with an optimized inner product: achieving a Newton-like convergence
Arian Novruzi, Bartosz Protas
In this paper we introduce a new gradient method which attains quadratic convergence in a certain sense. Applicable to infinite-dimensional unconstrained minimization problems pose…