A Particle Method for the KdV Equation. - Alina Chertock; Doron Levy (J. Sci. Comput., 2002)

On Wavelet-Based Numerical Homogenization. - Alina Chertock; Doron Levy (Multiscale Model. Simul., 2005)

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. - Alina Chertock; Alexander Kurganov; Guergana Petrova (J. Sci. Comput., 2006)

A New Sticky Particle Method for Pressureless Gas Dynamics. - Alina Chertock; Alexander Kurganov; Yurii Rykov (SIAM J. Numer. Anal., 2007)

Modified Optimal Prediction and its Application to a Particle-Method Problem. - Alina Chertock; David I. Gottlieb; Alex Solomonoff (J. Sci. Comput., 2008)

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. - Alina Chertock; Alexander Kurganov (Numerische Mathematik, 2008)

A Fast Explicit Operator Splitting Method for Passive Scalar Advection. - Alina Chertock; Charles R. Doering; Eugene Kashdan; Alexander Kurganov (J. Sci. Comput., 2010)

Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs. - Alina Chertock; Jian-Guo Liu 006; Terrance Pendleton (SIAM J. Numer. Anal., 2012)

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. - Alina Chertock; Michael Herty; Alexander Kurganov (Comput. Optim. Appl., 2014)

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. - Alina Chertock; Alexander Kurganov; Yu Liu 071 (Numerische Mathematik, 2014)

Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term. - Alina Chertock; Shumo Cui; Alexander Kurganov; Tong Wu 005 (SIAM J. Numer. Anal., 2015)

An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. - Alina Chertock; Pierre Degond; Jochen Neusser (J. Comput. Phys., 2017)

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. - Alina Chertock; Yekaterina Epshteyn; Hengrui Hu; Alexander Kurganov (Adv. Comput. Math., 2018)

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes. - Alina Chertock; Shumo Cui; Alexander Kurganov; Seyma Nur Ozcan; Eitan Tadmor (J. Comput. Phys., 2018)

Well-balanced schemes for the shallow water equations with Coriolis forces. - Alina Chertock; Michael Dudzinski; Alexander Kurganov; Mária Lukácová-Medvid'ová (Numerische Mathematik, 2018)

Adaptive moving mesh upwind scheme for the two-species chemotaxis model. - Alina Chertock; Alexander Kurganov; Mario Ricchiuto; Tong Wu 005 (Comput. Math. Appl., 2019)

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. - Xin Liu 029; Alina Chertock; Alexander Kurganov (J. Comput. Phys., 2019)

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations. - Yuanzhen Cheng; Alina Chertock; Michael Herty; Alexander Kurganov; Tong Wu 005 (J. Sci. Comput., 2019)

Preface to the Special Issue in Memory of Professor Saul Abarbanel. - Alina Chertock; Adi Ditkowski; Anne Gelb; Sigal Gottlieb; Semyon Tsynkov (J. Sci. Comput., 2019)

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. - Xin Liu 029; Alina Chertock; Alexander Kurganov; Karlan Wolfkill (J. Sci. Comput., 2019)

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme. - Alina Chertock; Shaoshuai Chu; Alexander Kurganov (J. Sci. Comput., 2021)

On a hybrid continuum-kinetic model for complex fluids. - Alina Chertock; Pierre Degond; Giacomo Dimarco; Mária Lukácová-Medvid'ová; A. Ruhi (CoRR, 2022)

Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks. - Alina Chertock; Christopher Leonard; Semyon Tsynkov (CoRR, 2022)

A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model. - Chenxi Wang; Alina Chertock; Shumo Cui; Alexander Kurganov; Zhen Zhang (CoRR, 2022)

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator. - Alina Chertock; Shaoshuai Chu; Alexander Kurganov (CoRR, 2022)

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts. - Alina Chertock; Alexander Kurganov; Xin Liu 029; Yongle Liu; Tong Wu 005 (J. Sci. Comput., 2022)

Well-balanced numerical method for atmospheric flow equations with gravity. - Alina Chertock; Alexander Kurganov; Tong Wu 005; Jun Yan (Appl. Math. Comput., 2023)

Denoising Convolution Algorithms and Applications to SAR Signal Processing. - Alina Chertock; Christopher Leonard; Semyon Tsynkov; Sergey V. Utyuzhnikov (CoRR, 2023)

Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics. - Alina Chertock; Alexander Kurganov; Michael Redle; Vladimir Zeitlin (CoRR, 2023)

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties. - Alina Chertock; Michael Herty; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov; Maria Lukacova-Medvidova (CoRR, 2023)

Local characteristic decomposition based central-upwind scheme. - Alina Chertock; Shaoshuai Chu; Michael Herty; Alexander Kurganov; Mária Lukácová-Medvid'ová (J. Comput. Phys., 2023)

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model. - Alina Chertock; Alexander Kurganov; Mária Lukácová-Medvid'ová; Peter Spichtinger; Bettina Wiebe (J. Comput. Phys., 2023)

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs. - Alina Chertock; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov (CoRR, 2024)

CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems. - Alina Chertock; Arsen S. Iskhakov; Anna Iskhakova; Alexander Kurganov (CoRR, 2024)

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD. - Alina Chertock; Alexander Kurganov; Michael Redle; Vladimir Zeitlin (J. Comput. Phys., 2024)

A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. - Alina Chertock; Alexander Kurganov; Michael Redle; Kailiang Wu (SIAM J. Sci. Comput., 2024)

A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws. - Rémi Abgrall; Alina Chertock; Alexander Kurganov; Lorenzo Micalizzi (CoRR, 2025)

New Smoothness Indicator Within an Active Flux Framework. - Alina Chertock; Alexander Kurganov; Lorenzo Micalizzi (CoRR, 2025)

The Evolution of Pointwise Statistics in Hyperbolic Equations with Random Data. - Alina Chertock; Pierre Degond; Amir Sagiv; Li Wang (CoRR, 2025)

A Hybrid Finite-Difference-Particle Method for Chemotaxis Models. - Alina Chertock; Shumo Cui; Alexander Kurganov; Chenxi Wang (J. Sci. Comput., 2025)