Alina Chertock

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 28

Top Topics

Using Artificial Neural Networks

Lagrangian Method

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Numerische Mathematik

Publications

Alina Chertock, Alexander Kurganov, Michael Redle, Vladimir Zeitlin
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD. J. Comput. Phys. 518 (2024)
Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. SIAM J. Sci. Comput. 46 (3) (2024)
Alina Chertock, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov
Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs. CoRR (2024)
Alina Chertock, Shumo Cui, Alexander Kurganov, Chenxi Wang
A Hybrid Finite-Difference-Particle Method for Chemotaxis Models. CoRR (2024)
Alina Chertock, Alexander Kurganov, Michael Redle, Vladimir Zeitlin
Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics. CoRR (2023)
Alina Chertock, Michael Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Maria Lukacova-Medvidova
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties. CoRR (2023)
Alina Chertock, Alexander Kurganov, Mária Lukácová-Medvid'ová, Peter Spichtinger, Bettina Wiebe
Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model. J. Comput. Phys. 479 (2023)
Alina Chertock, Christopher Leonard, Semyon Tsynkov, Sergey V. Utyuzhnikov
Denoising Convolution Algorithms and Applications to SAR Signal Processing. CoRR (2023)
Alina Chertock, Shaoshuai Chu, Michael Herty, Alexander Kurganov, Mária Lukácová-Medvid'ová
Local characteristic decomposition based central-upwind scheme. J. Comput. Phys. 473 (2023)
Alina Chertock, Alexander Kurganov, Tong Wu, Jun Yan
Well-balanced numerical method for atmospheric flow equations with gravity. Appl. Math. Comput. 439 (2023)
Alina Chertock, Christopher Leonard, Semyon Tsynkov
Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks. CoRR (2022)
Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. CoRR (2022)
Alina Chertock, Shaoshuai Chu, Michael Herty, Alexander Kurganov, Mária Lukácová-Medvid'ová
Local Characteristic Decomposition Based Central-Upwind Scheme. CoRR (2022)
Alina Chertock, Alexander Kurganov, Xin Liu, Yongle Liu, Tong Wu
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts. J. Sci. Comput. 90 (1) (2022)
Chenxi Wang, Alina Chertock, Shumo Cui, Alexander Kurganov, Zhen Zhang
A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model. CoRR (2022)
Alina Chertock, Pierre Degond, Giacomo Dimarco, Mária Lukácová-Medvid'ová, A. Ruhi
On a hybrid continuum-kinetic model for complex fluids. CoRR (2022)
Alina Chertock, Shaoshuai Chu, Alexander Kurganov
Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator. CoRR (2022)
Alina Chertock, Alexander Kurganov, Mária Lukácová-Medvidová, Peter Spichtinger, Bettina Wiebe
Stochastic Galerkin method for cloud simulation. Part II: a fully random Navier-Stokes-cloud model. CoRR (2022)
Alina Chertock, Shaoshuai Chu, Alexander Kurganov
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme. J. Sci. Comput. 89 (2) (2021)
Xin Liu, Alina Chertock, Alexander Kurganov
An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. J. Comput. Phys. 391 (2019)
Alina Chertock, Adi Ditkowski, Anne Gelb, Sigal Gottlieb, Semyon Tsynkov
Preface to the Special Issue in Memory of Professor Saul Abarbanel. J. Sci. Comput. 81 (3) (2019)
Xin Liu, Alina Chertock, Alexander Kurganov, Karlan Wolfkill
One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. J. Sci. Comput. 81 (3) (2019)
Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander Kurganov, Tong Wu
A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations. J. Sci. Comput. 80 (1) (2019)
Alina Chertock, Alexander Kurganov, Mario Ricchiuto, Tong Wu
Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Comput. Math. Appl. 77 (12) (2019)
Alina Chertock, Michael Dudzinski, Alexander Kurganov, Mária Lukácová-Medvid'ová
Well-balanced schemes for the shallow water equations with Coriolis forces. Numerische Mathematik 138 (4) (2018)
Alina Chertock, Shumo Cui, Alexander Kurganov, Seyma Nur Ozcan, Eitan Tadmor
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes. J. Comput. Phys. 358 (2018)
Alina Chertock, Yekaterina Epshteyn, Hengrui Hu, Alexander Kurganov
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Adv. Comput. Math. 44 (1) (2018)
Alina Chertock, Pierre Degond, Jochen Neusser
An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. J. Comput. Phys. 335 (2017)
Alina Chertock, Shumo Cui, Alexander Kurganov, Tong Wu
Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term. SIAM J. Numer. Anal. 53 (4) (2015)
Alina Chertock, Michael Herty, Alexander Kurganov
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Comput. Optim. Appl. 59 (3) (2014)
Alina Chertock, Alexander Kurganov, Yu Liu
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Numerische Mathematik 127 (4) (2014)
Alina Chertock, Jian-Guo Liu, Terrance Pendleton
Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs. SIAM J. Numer. Anal. 50 (1) (2012)
Alina Chertock, Charles R. Doering, Eugene Kashdan, Alexander Kurganov
A Fast Explicit Operator Splitting Method for Passive Scalar Advection. J. Sci. Comput. 45 (1-3) (2010)
Alina Chertock, David I. Gottlieb, Alex Solomonoff
Modified Optimal Prediction and its Application to a Particle-Method Problem. J. Sci. Comput. 37 (2) (2008)
Alina Chertock, Alexander Kurganov
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Numerische Mathematik 111 (2) (2008)
Alina Chertock, Alexander Kurganov, Yurii Rykov
A New Sticky Particle Method for Pressureless Gas Dynamics. SIAM J. Numer. Anal. 45 (6) (2007)
Alina Chertock, Alexander Kurganov, Guergana Petrova
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. J. Sci. Comput. 27 (1-3) (2006)
Alina Chertock, Doron Levy
On Wavelet-Based Numerical Homogenization. Multiscale Model. Simul. 3 (1) (2005)
Alina Chertock, Doron Levy
A Particle Method for the KdV Equation. J. Sci. Comput. 17 (1-4) (2002)