1 citations · 3 across the 6 of their papers we have counts for
7 papers
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics
Alina Chertock, Alexander Kurganov, Michael Redle +1
We develop a new second-order unstaggered path-conservative central-upwind (PCCU) scheme for ideal and shallow water magnetohydrodynamics (MHD) equations. The new scheme possesses…
Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator
Alina Chertock, Shaoshuai Chu, Alexander Kurganov
We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed…
A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model
Chenxi Wang, Alina Chertock, Shumo Cui +2
In this paper, we consider a coupled chemotaxis-fluid system that models self-organized collective behavior of oxytactic bacteria in a sessile drop. This model describes the biolog…
Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks
Alina Chertock, Christopher Leonard, Semyon Tsynkov
We apply a fully connected neural network to determine the shape of the lacunae in the solutions of the wave equation. Lacunae are the regions of quietness behind the trailing fron…
On a hybrid continuum-kinetic model for complex fluids
A. Chertock, P. Degond, G. Dimarco +2
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of a new hybrid continuum-kinetic…
Incompressible limit of a continuum model of tissue growth with segregation for two cell populations
Alina Chertock, Pierre Degond, Sophie Hecht +1
This paper proposes a model for the growth two interacting populations of cells that do not mix. The dynamics is driven by pressure and cohesion forces on the one hand and prolifer…