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math.NA2025
Numerical Study of Random Kelvin-Helmholtz Instability
Alina Chertock, Michael Herty, Arsen S. Iskhakov +3
In this paper, we study random dissipative weak solutions of the compressible Euler equations in the Kelvin-Helmholtz (KH) instability. Motivated by the fact that weak entropy solu…
math.NA2025
Uncertainty Quantification in Forward Problems: Balancing Accuracy and Robustness Using CWENO Interpolations
Alina Chertock, Arsen S. Iskhakov, Alexander Kurganov
In this paper, we study uncertainty quantification (UQ) in forward problems. Our objective is to construct accurate and robust surrogate models by incorporating the seventh-order c…