A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations. - Songul Kaya; Beatrice Riviere (SIAM J. Numer. Anal., 2005)

A Finite Element Variational Multiscale Method for the Navier-Stokes Equations. - Volker John; Songul Kaya (SIAM J. Sci. Comput., 2005)

Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations. - Songul Kaya; William J. Layton; Beatrice Riviere (SIAM J. Numer. Anal., 2006)

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. - Volker John; Songul Kaya (Adv. Comput. Math., 2008)

A subgrid stabilization finite element method for incompressible magnetohydrodynamics. - Mine Akbas Belenli; Songül Kaya; Leo G. Rebholz; Nicholas E. Wilson (Int. J. Comput. Math., 2013)

On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. - Songül Kaya; Carolina C. Manica; Leo G. Rebholz (Appl. Math. Comput., 2014)

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method. - Mine Akbas; Songul Kaya; Leo G. Rebholz (ENUMATH, 2015)

An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows. - Mine Akbas Belenli; Songül Kaya; Leo G. Rebholz (Comput. Methods Appl. Math., 2015)

Analysis of Model Variance for Ensemble Based Turbulence Modeling. - Nan Jiang 003; Songul Kaya; William J. Layton (Comput. Methods Appl. Math., 2015)

Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method. - Medine Demir; Songül Kaya (ENUMATH, 2019)

Two approaches to creating a turbulence model with increased temporal accuracy. - Mustafa Aggul; Songul Kaya; Alexander E. Labovsky (Appl. Math. Comput., 2019)

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

A projection based Variational Multiscale Method for Atmosphere-Ocean Interaction. - Mustafa Aggul; Fatma G. Eroglu; Songül Kaya; Alexander E. Labovsky (CoRR, 2019)

An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. - Medine Demir; Songül Kaya (CoRR, 2019)

POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. - Fatma G. Eroglu; Songul Kaya; Leo G. Rebholz (J. Num. Math., 2019)

Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction. - Mustafa Aggul; Songül Kaya (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)

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)

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