Prof. Dr. SONGÜL KAYA MERDAN

Yayın Ağı

SCI, SSCI ve AHCI İndekslerine Giren Dergilerde Yayınlanan Makaleler

Optimal Control problems of NS-α and NS-ωturbulencemodels: analysis and numerical tests

Hacat G., Cibik A., YILMAZ F. N., Kaya S.

NUMERICAL ALGORITHMS , 2025 (SCI-Expanded)

On an optimal control problem of the Leray-α model

Hacat G., Çıbık A. B., Yılmaz F. N., Kaya Merdan S.

Journal of Computational and Applied Mathematics , cilt.436, 2024 (SCI-Expanded)

Deferred correction method for the continuous data assimilation model

AĞGÜL M., Çıbık A., Eroglu F. G., KAYA MERDAN S.

Computer Methods in Applied Mechanics and Engineering , cilt.415, 2023 (SCI-Expanded)

An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations

Takhirov A., Çıbık A. B., Eroğlu F. G., Kaya Merdan S.

Journal of Scientific Computing , cilt.96, sa.2, 2023 (SCI-Expanded)

Artificial compression method for MHD system in Elsässer variables

Aggul M., Eroglu F. G., Merdan S.

Applied Numerical Mathematics , cilt.185, ss.72-87, 2023 (SCI-Expanded)

Time filtered second order backward Euler method for EMAC formulation of Navier-Stokes equations

DEMİR M., Çıbık A., KAYA MERDAN S.

Journal of Mathematical Analysis and Applications , cilt.516, sa.2, 2022 (SCI-Expanded)

Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization

Hacat G., Yılmaz F. N., Çıbık A. B., Kaya Merdan S.

Applied Mathematics and Computation , cilt.430, 2022 (SCI-Expanded)

On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field

Cibik A., Eroglu F. G., KAYA MERDAN S.

Numerical Algorithms , cilt.88, sa.1, ss.475-498, 2021 (SCI-Expanded)

Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction

AĞGÜL M., Kaya S.

Applied Numerical Mathematics , cilt.160, ss.178-191, 2021 (SCI-Expanded)

An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows

DEMİR M., Kaya S.

Applied Numerical Mathematics , cilt.156, ss.140-157, 2020 (SCI-Expanded)

A projection based variational multiscale method for a fluid–fluid interaction problem

AĞGÜL M., EROĞLU F. G., Kaya S., Labovsky A. E.

Computer Methods in Applied Mechanics and Engineering , cilt.365, 2020 (SCI-Expanded)

A second order decoupled penalty projection method based on deferred correction for MHD in Elsasser variable

Erkmen D., Kaya S., Cibik A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.371, 2020 (SCI-Expanded)

Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations

Cibik A., EROĞLU F. G., Kaya S.

Journal of Scientific Computing , cilt.82, sa.2, 2020 (SCI-Expanded)

LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS

Cibik A., Eroglu F. G., Kaya S.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , cilt.17, sa.1, ss.24-41, 2020 (SCI-Expanded)

Two approaches to creating a turbulence model with increased temporal accuracy

Aggul M., Kaya S., Labovsky A. E.

Applied Mathematics and Computation , cilt.358, ss.25-36, 2019 (SCI-Expanded)

POD-ROM for the Darcy-Brinkman equations with double-diffusive convection

Eroglu F. G., Kaya S., Rebholz L. G.

JOURNAL OF NUMERICAL MATHEMATICS , cilt.27, ss.123-139, 2019 (SCI-Expanded)

A family of second order time stepping methods for the Darcy-Brinkman equations

Cibik A., DEMİR M., KAYA MERDAN S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , cilt.472, sa.1, ss.148-175, 2019 (SCI-Expanded)

FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

John V., KAYA MERDAN S., Novo J.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , cilt.15, ss.677-698, 2018 (SCI-Expanded)

A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

Eroglu F. G., Kaya S., Rebholz L. G.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , cilt.325, ss.350-368, 2017 (SCI-Expanded)

On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems

AKBAŞ M., KAYA S., Rebholz L. G.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.33, sa.4, ss.999-1017, 2017 (SCI-Expanded)

NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSASSER VARIABLE

AKBAŞ M., KAYA MERDAN S., MOHEBUJJAMAN M., rebholz l.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , cilt.13, sa.1, ss.90-113, 2016 (SCI-Expanded)

Analysis of Model Variance for Ensemble Based Turbulence Modeling

Jiang N., Kaya S., Layton W.

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS , cilt.15, sa.2, ss.173-188, 2015 (SCI-Expanded)

An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows

Belenli M. A., Kaya S., Rebholz L. G.

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS , cilt.15, sa.1, ss.1-20, 2015 (SCI-Expanded)

On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions

Kaya S., Manica C. C., Rebholz L. G.

APPLIED MATHEMATICS AND COMPUTATION , cilt.246, ss.23-38, 2014 (SCI-Expanded)

A subgrid stabilization finite element method for incompressible magnetohydrodynamics

Belenli M. A., KAYA MERDAN S., Rebholz L. G., Wilson N. E.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS , cilt.90, sa.7, ss.1506-1523, 2013 (SCI-Expanded)

Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection

Cibik A., KAYA MERDAN S.

APPLIED NUMERICAL MATHEMATICS , cilt.64, ss.35-49, 2013 (SCI-Expanded)

CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE

KAYA MERDAN S., C C M.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES , cilt.22, sa.11, 2012 (SCI-Expanded)

A projection-based stabilized finite element method for steady-state natural convection problem

Cibik A., KAYA MERDAN S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , cilt.381, sa.2, ss.469-484, 2011 (SCI-Expanded)

Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity

John V., KAYA MERDAN S., Kindl A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , cilt.344, sa.2, ss.627-641, 2008 (SCI-Expanded)

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

Volker J., KAYA MERDAN S.

ADVANCES IN COMPUTATIONAL MATHEMATICS , cilt.28, sa.1, ss.43-61, 2008 (SCI-Expanded)

Finite element error analysis of a zeroth order approximate deconvolution model based on a mixed formulation

Carolina Cardoso M., KAYA MERDAN S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , cilt.331, sa.1, ss.669-685, 2007 (SCI-Expanded)

A two-grid stabilization method for solving the steady-state Navier-Stokes equations

KAYA MERDAN S., Rivière B.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , cilt.22, sa.3, ss.728-743, 2006 (SCI-Expanded)

A two-level variational multiscale method for convection-dominated convection-diffusion equations

Volker J., KAYA MERDAN S., Layton W.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , cilt.195, ss.4594-4603, 2006 (SCI-Expanded)

Subgrid stabilized defect correction methods for the Navier-Stokes equations

KAYA MERDAN S., William L., Béatrice R.

SIAM JOURNAL ON NUMERICAL ANALYSIS , cilt.44, sa.4, ss.1639-1654, 2006 (SCI-Expanded)

A finite element variational multiscale method for the Navier-Stokes equations

Volker J., KAYA MERDAN S.

SIAM JOURNAL ON SCIENTIFIC COMPUTING , cilt.26, sa.5, ss.1485-1503, 2005 (SCI-Expanded)

A discontinuous subgrid eddy viscosity method for the time-dependent Navier-Stokes equations

KAYA MERDAN S., Béatrice R.

SIAM JOURNAL ON NUMERICAL ANALYSIS , cilt.43, sa.4, ss.1572-1595, 2005 (SCI-Expanded)

Diğer Dergilerde Yayınlanan Makaleler

On the extrapolated VMS-POD method for incompressible flows

GÜLER EROĞLU F., KAYA MERDAN S.

Computer Methods in Materials Science , cilt.19, ss.70-77, 2019 (Scopus)

Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations

Güler Eroğlu F., Kaya Merdan S., Rebholz L. G.

IAENG International Journal of Applied Mathematics , cilt.49, ss.134-144, 2019 (Scopus)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler

ON THE EXTRAPOLATED VMS-POD METHOD FORINCOMPRESSIBLE FLOWS

Güler Eroğlu F., Kaya Merdan S.

5th ECCOMAS Young Investigators Conference, Krakow, Polonya, 1 - 06 Eylül 2019, cilt.19, ss.70-77

A Numerical Study of a Modular Sparse Grad-Div Stabilization Method for Boussinesq Equations

DEMİR M., KAYA MERDAN S.

8th International Conference on Mathematical Modeling in Physical Science, 26 - 29 Ağustos 2019, cilt.2019, ss.1-4

Numerical Investigation of the Boussinesq equations through a Subgrid Artificial Viscosity Method

DEMİR M., KAYA MERDAN S.

The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019), Egmond aan Zee, Hollanda, 30 Eylül - 04 Ekim 2019

A Review of Variational Multiscale Methods forMultiphysics Flow Problems

KAYA MERDAN S.

International Meeting on Applied Mathematics Evolution, 16 - 18 Nisan 2019

Numerical Aspects of POD-Based Reduced-Order Modeling forDarcy-Brinkman Equations

GÜLER EROĞLU F., KAYA MERDAN S.

Workshop on Computational Science and Engineering, Ankara, Türkiye, 20 - 21 Ekim 2018

A Numerical Study of Second Order Time Stepping Methods for the Boussinesq Equations

DEMİR M., ÇIBIK A. B., KAYA MERDAN S.

BEYOND: Workshop on Computational Science and Engineering, Türkiye, 20 - 21 Ekim 2018

A Projection-Based VMS Method on Linearly Extrapolated BDF2Time-stepping Scheme for Navier-Stokes Equations

KAYA MERDAN S., Vargün D.

BEYOND: Workshop on Computational Science and Engineering, Türkiye, 20 - 21 Ekim 2018

penalty projection algorithm for MHD in Elsasser Variable,

KAYA MERDAN S.

world congress of mathematics, 1 - 09 Ağustos 2018

A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations

GÜLER EROĞLU F., KAYA MERDAN S., rebholz l.

World Congress on Engineering 2018, 4 - 06 Temmuz 2018, cilt.1

Numerical analysis of a Family of Second Order Time Stepping Methods for Boussinesq Equations

ÇIBIK A. B., DEMİR M., KAYA MERDAN S.

World Congress on Engineering 2018,, 4 - 06 Temmuz 2018, cilt.1, ss.56-59

Numerical Study on Blood Flow Modelling in Arteries

KAYA MERDAN S., ökten i. t.

International Conference on Applied Mathematics in Engineering, 27 - 29 Haziran 2018

Proper Orthogonal Decomposition Method for the Darcy-Brinkman Equations

GÜLER EROĞLU F., KAYA MERDAN S.

International Conference on Applied Mathematics in Engineering, 27 - 29 Haziran 2018

Numerical Analysis of Second Order Time Stepping Methods for the Natural Convection Problems

Demir M., Çıbık A. B., Kaya Merdan S.

International Conference on Applied Mathematics in Engineering,, Balıkesir, Türkiye, 27 - 29 Haziran 2018, ss.100

Do§al Konveksiyon Problemleri çin kinciMertebeden Zaman Admlamas YöntemleriAilesinin Saysal Analizi

DEMİR M., ÇIBIK A. B., KAYA MERDAN S.

13. Ankara Matematik Günleri, Türkiye, 27 - 28 Mayıs 2018

Modeling of blood flow in arteies with Navier-Stokes equations

KAYA MERDAN S.

5th International Conference on Complex Dynamical Systems in Life sciences Modeling and Analysis, 10 - 12 Mayıs 2018

Variational Multiscale Proper Orthogonal Decomposition with Modular Regularization

GÜLER EROĞLU F., KAYA MERDAN S., Rebholz L.

CMMSE Spain 2017, Cadiz, İspanya, 4 - 08 Temmuz 2017, ss.854-857

Sıkıştırılamaz akışlar içinprojeksiyona bağlı çok ölçekli varyasyonel uygun dik ayrıştırma metodu

GÜLER EROĞLU F., KAYA MERDAN S.

AMG Turkey 2017, Ankara, Türkiye, 25 - 26 Mayıs 2017, ss.20

Projeksiyona Dayalı Çok ÖlçekliVaryasyonel Uygun Dik Ayrıştırma metodunun Modüler Regülarizasyonu

GÜLER EROĞLU F., KAYA MERDAN S.

IV.Kadın Matematikçiler Derneği Çalıştayı, Türkiye, 28 - 29 Nisan 2017

Numerical Analysis of a Fully Discrete Decoupled Penalty -Projection Algorithm for MHD in Elsässer Variables.

KAYA MERDAN S.

Fall Western Sectional Meeting (AMS-Meeting #1122), 8 - 09 Ekim 2016

Projeksiyona Bağlı Modüler Regülarizasyonlu ve Ortogonal Ayrıştırmalı Metodun Sayısal Analizi

Güler F., KAYA MERDAN S.

11. Ankara Matematik Günleri, Türkiye, 26 - 27 Mayıs 2016, ss.1

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

Akbas M., KAYA MERDAN S., Rebholz L.

European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Ankara, Türkiye, 14 - 18 Eylül 2015, cilt.112, ss.115-122

Kitaplar

Bilirkişi Raporları

Etik İncelemesi

Kaya Merdan S.

Fen ve Mühendislik Bilimsel Araştırma Yayın Etiği Komisyonu, ss.3, Ankara, 2020

Metrikler

Yayın

Atıf (WoS)

855

H-İndeks (WoS)

Atıf (Scopus)

871

H-İndeks (Scopus)

Atıf (Scholar)

380

H-İndeks (Scholar)

Atıf (Diğer Toplam)

Proje

Tez Danışmanlığı

Açık Erişim

BM Sürdürülebilir Kalkınma Amaçları

Yayınlar & Eserler

Yayın

Atıf (WoS)

H-İndeks (WoS)

Atıf (Scopus)

H-İndeks (Scopus)

Atıf (Scholar)

H-İndeks (Scholar)

Atıf (Diğer Toplam)

Proje

Tez Danışmanlığı

Açık Erişim