Alina Chertock
Alina Chertock
Professor of Mathematics and Department Head, North Carolina State University
Verified email at - Homepage
Cited by
Cited by
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure
JA Carrillo, A Chertock, Y Huang
Communications in Computational Physics 17 (1), 233-258, 2015
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
A Chertock, A Kurganov
Numerische Mathematik 111, 169-205, 2008
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
A Chertock, K Fellner, A Kurganov, A Lorz, PA Markowich
Journal of fluid mechanics 694, 155-190, 2012
Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms
A Chertock, S Cui, A Kurganov, T Wu
International Journal for numerical methods in fluids 78 (6), 355-383, 2015
On a chemotaxis model with saturated chemotactic flux
A Chertock, A Kurganov, X Wang, Y Wu
Kinet. Relat. Models 5 (1), 51-95, 2012
Particle methods for dispersive equations
A Chertock, D Levy
Journal of Computational Physics 171 (2), 708-730, 2001
Strict stability of high-order compact implicit finite-difference schemes: the role of boundary conditions for hyperbolic PDEs, I
SS Abarbanel, AE Chertock
Journal of Computational Physics 160 (1), 42-66, 2000
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
A Chertock, S Cui, A Kurganov, ŞN Özcan, E Tadmor
Journal of Computational Physics 358, 36-52, 2018
Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation
GI Barenblatt, M Bertsch, AE Chertock, VM Prostokishin
Proceedings of the National Academy of Sciences 97 (18), 9844-9848, 2000
Well-balanced schemes for the shallow water equations with Coriolis forces
A Chertock, M Dudzinski, A Kurganov, M Lukáčová-Medvid’ová
Numerische Mathematik 138, 939-973, 2018
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
A Chertock, A Kurganov, Y Liu
Numerische Mathematik 127 (4), 595-639, 2014
A new sticky particle method for pressureless gas dynamics
A Chertock, A Kurganov, Y Rykov
SIAM Journal on Numerical Analysis 45 (6), 2408-2441, 2007
A simple Eulerian finite-volume method for compressible fluids in domains with moving boundaries
A Chertock, A Kurganov
Communications in Mathematical Sciences 6 (3), 531-556, 2008
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
Y Cheng, A Chertock, M Herty, A Kurganov, T Wu
Journal of Scientific Computing 80, 538-554, 2019
Formation of discontinuities in flux-saturated degenerate parabolic equations
A Chertock, A Kurganov, P Rosenau
Nonlinearity 16 (6), 1875, 2003
Steady state and sign preserving semi-implicit Runge--Kutta methods for ODEs with stiff damping term
A Chertock, S Cui, A Kurganov, T Wu
SIAM Journal on Numerical Analysis 53 (4), 2008-2029, 2015
Fast explicit operator splitting method for convection–diffusion equations
A Chertock, A Kurganov, G Petrova
International journal for numerical methods in fluids 59 (3), 309-332, 2009
Interface tracking method for compressible multifluids
A Chertock, S Karni, A Kurganov
ESAIM: Mathematical Modelling and Numerical Analysis 42 (6), 991-1019, 2008
Pedestrian flow models with slowdown interactions
A Chertock, A Kurganov, A Polizzi, I Timofeyev
Mathematical Models and Methods in Applied Sciences 24 (02), 249-275, 2014
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
A Chertock, Y Epshteyn, H Hu, A Kurganov
Advances in Computational Mathematics 44, 327-350, 2018
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