Alina Chertock

Alina Chertock serves as the Head of the Department of Mathematics at North Carolina State University (NCSU), where she leads academic and research initiatives in computational mathematics. Her work focuses on developing advanced numerical methods for hyperbolic conservation laws, fluid dynamics, and models involving uncertainty quantification. Chertock’s research integrates finite-volume, particle, and hybrid methods to address complex phenomena such as chemotaxis, magnetohydrodynamics, and shallow water systems. She has contributed to high-resolution schemes for stiff detonation waves and stochastic collocation techniques for nonlinear PDEs with uncertainties.

Her research interests span computational fluid dynamics, numerical analysis, and applied mathematics, with applications in geophysical flows, multiphase systems, and biological models. Notable contributions include well-balanced path-conservative schemes for rotating flows and divergence-free flux methods for magnetohydrodynamics. Chertock collaborates actively with institutions on NSF-funded projects, including structure-preserving methods for atmospheric and shallow water models.

Her publications emphasize adaptive algorithms, error mitigation in stochastic systems, and the integration of machine learning for wave equation analysis. Chertock’s work bridges theoretical developments with practical applications, addressing challenges in computational efficiency and accuracy across diverse scientific domains.