A. Novikov

activity

20052022

most citedA differential equations approach to

l_{1}

-minimization with applications to array imaging

17 citations · 79 across the 23 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.NA2012★ 17 cited

A differential equations approach to $l_{1}$ -minimization with applications to array imaging

Miguel Moscoso, Alexei Novikov, George Papanicolaou +1

We present an ordinary differential equations approach to the analysis of algorithms for constructing $l_{1}$ minimizing solutions to underdetermined linear systems of full rank. It…

math.AP2012★ 5 cited

Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion

Léonard Monsaingeon, Alexeï Novikov, Jean-Michel Roquejoffre

We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such so…

A differential equations approach to l1​-minimization with applications to array imaging

Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion

A differential equations approach to $l_{1}$ -minimization with applications to array imaging