204 citations · 362 across the 25 of their papers we have counts for
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CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems
Alina Chertock, Arsen S. Iskhakov, Anna Iskhakova +1
Uncertainty quantification (UQ) in mathematical models is essential for accurately predicting system behavior under variability. This study provides guidance on method selection fo…
A Hybrid Finite-Difference-Particle Method for Chemotaxis Models
Alina Chertock, Shumo Cui, Alexander Kurganov +1
Chemotaxis systems play a crucial role in modeling the dynamics of bacterial and cellular behaviors, including propagation, aggregation, and pattern formation, all under the influe…
Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs
Alina Chertock, Arsen S. Iskhakov, Safa Janajra +1
In this paper, we study the stochastic collocation (SC) methods for uncertainty quantification (UQ) in hyperbolic systems of nonlinear partial differential equations (PDEs). In the…