2 citations · 4 across the 11 of their papers we have counts for
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math.NA2024
Adaptive Parameter Selection in Nudging Based Data Assimilation
Aytekin Çıbık, Rui Fang, William Layton +1
Data assimilation combines (imperfect) knowledge of a flow's physical laws with (noisy, time-lagged, and otherwise imperfect) observations to produce a more accurate prediction of…
math.NA2024★ 2 cited
The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations
Aytekin Çibik, Farjana Siddiqua, William Layton
In 1991, Ramshaw and Mesina proposed a novel synthesis of penalty methods and artificial compression methods. When the two were balanced they found the combination was 3-4 orders m…
math.NA2024★ 1 cited
Convergence of a Ramshaw-Mesina Iteration
Aytekin Çibik, William Layton
In 1991 Ramshaw and Mesina introduced a clever synthesis of penalty methods and artificial compression methods. Its form makes it an interesting option to replace the pressure upda…