2 citations · 8 across the 19 of their papers we have counts for
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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…
Local Characteristic Decomposition Based Central-Upwind Scheme
Alina Chertock, Shaoshuai Chu, Michael Herty +2
We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the…
Stochastic Galerkin method for cloud simulation. Part II: a fully random Navier-Stokes-cloud model
A. Chertock, A. Kurganov, M. Lukáčová-Medviďová +2
This paper is a continuation of the work presented in [Chertock et al., Math. Cli. Weather Forecast. 5, 1 (2019), 65--106]. We study uncertainty propagation in warm cloud dynamics…
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…