Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations. - Aytekin Cibik; Fatma G. Eroglu; Songul Kaya (CoRR, 2019)

Continuous Data Assimilation for the Double-Diffusive Natural Convection. - Mine Akbas; Aytekin Cibik (CoRR, 2020)

A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable. - Dilek Erkmen; Songul Kaya; Aytekin Cibik (J. Comput. Appl. Math., 2020)

Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations. - Aytekin Cibik; Fatma G. Eroglu; Songül Kaya (J. Sci. Comput., 2020)

On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations. - Medine Demir; Aytekin Çibik; Songül Kaya (CoRR, 2021)

On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field. - Aytekin Cibik; Fatma G. Eroglu; Songül Kaya (Numer. Algorithms, 2021)

Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization. - Gülnur Haçat; Fikriye Yilmaz; Aytekin Çibik; Songül Kaya (Appl. Math. Comput., 2022)

Analysis of continuous data assimilation scheme for the Navier-Stokes equations using variational multiscale method. - Gülnur Haçat; Mine Akbas; Aytekin Çibik (J. Comput. Sci., 2023)

An Improved Arrow-Hurwicz Method for the Steady-State Navier-Stokes Equations. - Aziz Takhirov; Aytekin Çibik; Fatma G. Eroglu; Songül Kaya (J. Sci. Comput., 2023)

Convergence of a Ramshaw-Mesina iteration. - Aytekin Çibik; William Layton (Appl. Math. Lett., 2024)

The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations. - Aytekin Çibik; Farjana Siddiqua; William Layton (CoRR, 2024)

Adaptive Parameter Selection in Nudging Based Data Assimilation. - Aytekin Çibik; Rui Fang; William Layton; Farjana Siddiqua (CoRR, 2024)

On an optimal control problem of the Leray-α model. - Gülnur Haçat; Aytekin Çibik; Fikriye Yilmaz; Songül Kaya (J. Comput. Appl. Math., 2024)

Data assimilation with model errors. - Aytekin Çibik; Rui Fang; William Layton; Farjana Siddiqua (CoRR, 2025)

Modular data assimilation for flow prediction. - Aytekin Çibik; Rui Fang; William Layton (CoRR, 2025)