Alina Chertock

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Area(s) of Expertise

Applied Nonlinear Partial Differential Equations, Scientific Computing, Numerical Analysis, Multiscale Models, Uncertain Phenomena, Experimental Asymptotics.

Publications

• A Hybrid Finite-Difference-Particle Method for Chemotaxis Models , JOURNAL OF SCIENTIFIC COMPUTING (2025)
• A NEW LOCALLY DIVERGENCE-FREE PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR IDEAL AND SHALLOW WATER MAGNETOHYDRODYNAMICS , SIAM JOURNAL ON SCIENTIFIC COMPUTING (2024)
• Accurate deterministic projection methods for stiff detonation waves , Communications in Mathematical Sciences (2024)
• Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD , JOURNAL OF COMPUTATIONAL PHYSICS (2024)
• New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties , COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION (2024)
• Simulating Partial Differential Equations with Neural Networks , HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 (2024)
• A diffuse-domain-based numerical method for a chemotaxis-fluid model , MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2023)
• Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator , EAST ASIAN JOURNAL ON APPLIED MATHEMATICS (2023)
• Denoising convolution algorithms and applications to SAR signal processing , Communications on Analysis and Computation (2023)
• Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model , Journal of Computational Physics (2023)

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