output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

researchers with a paper here
collaborating institutions
Showing 2017 · math.NAShow all

6 papers · 2 filters

math.NA2017★ 9 cited

A constructive approach to Schaeffer's conjecture

Oleg Szehr, Rachid Zarouf

J.J. Schaeffer proved that for induced matrix norm and invertible the inequality \[\left|\det T\right|\left\Vert T^{-1}\right\Vert \leq\mathcal{S}\left\Vert T\…

math.NA2017

Convergence of the mac scheme for variable density flows

Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché +1

We prove in this paper the convergence of an semi-implicit MAC scheme for the time-dependent variable density Navier-Stokes equations.

math.NA2017

Two models for the computation of laminar flames in dust clouds

Dionysios Grapsas, Raphaele Herbin, J Latché

We address two models for the simulation of dust clouds premixed combustion: the first one consists in usual balance equations, to derive the second one, we suppose that the soluti…

math.NA2017

Analysis of a fractional-step scheme for the P1 radiative diffusion model

Raphaele Herbin, Thierry Gallouët, Jean-Claude Latché +1

We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite…

math.NA2017★ 11 cited

Newton's method in practice II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees

Marvin Randig, Dierk Schleicher, Robin Stoll

We present a practical implementation based on Newton's method to find all roots of several families of complex polynomials of degrees exceeding one billion () so that the ob…

math.NA2017★ 36 cited

Convergence of the MAC scheme for the incompressible Navier-Stokes equations

Thierry Gallouët, Raphaele Herbin, J. -C Latché +1

We prove in this paper the convergence of the Marker and cell (MAC) scheme for the dis-cretization of the steady-state and unsteady-state incompressible Navier-Stokes equations in…