Yayınlar & Eserler

Yayın Ağı
Makaleler 38
Tümü (38)
SCI-E, SSCI, AHCI (36)
SCI-E, SSCI, AHCI, ESCI (36)
Scopus (38)

1. 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, Scopus) identifier identifier

2. 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, Scopus) identifier identifier

3. 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, Scopus) identifier identifier

4. 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, Scopus) identifier identifier

5. 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, Scopus) identifier identifier

6. 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, Scopus) identifier identifier

7. 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, Scopus) identifier identifier

8. 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, Scopus) identifier identifier

9. 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, Scopus) identifier identifier

10. 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, Scopus) identifier identifier

11. 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, Scopus) Creative Commons License identifier identifier identifier

12. 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, Scopus) identifier identifier

13. 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, Scopus) identifier identifier

14. 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, Scopus) identifier identifier

15. 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)

16. 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, Scopus) identifier identifier

17. 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, Scopus) identifier

18. 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) Creative Commons License identifier

19. 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, Scopus) identifier identifier

20. 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, Scopus) identifier

21. 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, Scopus) Creative Commons License identifier identifier

22. 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, Scopus) Creative Commons License identifier identifier

23. 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, Scopus) identifier identifier

24. 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, Scopus) identifier identifier

25. 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, Scopus) identifier identifier

26. 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, Scopus) identifier identifier

27. 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, Scopus) identifier identifier

28. 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, Scopus) identifier identifier

29. 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, Scopus) Creative Commons License identifier identifier

30. 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, Scopus) identifier identifier

31. 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, Scopus) identifier identifier

32. 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, Scopus) identifier identifier

33. 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, Scopus) identifier identifier

34. 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, Scopus) Creative Commons License identifier identifier

35. 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, Scopus) Creative Commons License identifier identifier

36. 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, Scopus) identifier identifier

37. 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, Scopus) identifier identifier

38. 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, Scopus) Creative Commons License identifier identifier
Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 21

1. 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, (Tam Metin Bildiri) Creative Commons License identifier

2. 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, (Tam Metin Bildiri) identifier identifier

3. 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, (Tam Metin Bildiri)

4. A Review of Variational Multiscale Methods forMultiphysics Flow Problems

KAYA MERDAN S.
International Meeting on Applied Mathematics Evolution, 16 - 18 Nisan 2019, (Özet Bildiri)

5. 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, (Özet Bildiri)

6. 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, (Özet Bildiri)

7. 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, (Özet Bildiri)

8. penalty projection algorithm for MHD in Elsasser Variable,

KAYA MERDAN S.
world congress of mathematics, 1 - 09 Ağustos 2018, (Özet Bildiri)

9. 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, (Tam Metin Bildiri)

10. 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, (Tam Metin Bildiri) identifier

11. 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, (Özet Bildiri)

12. 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, (Özet Bildiri)

13. 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, (Özet Bildiri)

14. 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, (Özet Bildiri)

15. 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, (Özet Bildiri)

16. 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, (Tam Metin Bildiri)

17. 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, (Özet Bildiri)

18. 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, (Özet Bildiri)

19. 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, (Özet Bildiri)

20. 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, (Özet Bildiri)

21. 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, (Tam Metin Bildiri) identifier identifier
Kitaplar 3

1. An Extrapolated Crank Nicholson VMS-POD Method for Darcy Brinkman Equations

GÜLER EROĞLU F., KAYA MERDAN S.
Numerical Solutions of Realistic Nonlinear Phenomena. Nonlinear Systems and Complexity, Machado J., Özdemir N., Baleanu D., Editör, Springer, Cham, cham, ss.25-51, 2020

2. Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

AKBAŞ BELENLİ M., KAYA MERDAN S., Rebholz L.
Numerical Mathematics and Advanced Applications ENUMATH 2015, Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö, Editör, Springer, ss.115-122, 2016

3. Numerical Analysis of a Variational Multiscale Method for Turbulence

KAYA MERDAN S.
LAP LAMBERT Academic Publishing, 2011
Bilirkişi Raporları 1

1. Etik İncelemesi

Kaya Merdan S.
Fen ve Mühendislik Bilimsel Araştırma Yayın Etiği Komisyonu, ss.3, Ankara, 2020
Metrikler

Yayın

65

Yayın (WoS)

38

Yayın (Scopus)

42

Atıf (WoS)

856

H-İndeks (WoS)

14

Atıf (Scopus)

871

H-İndeks (Scopus)

15

Atıf (Scholar)

380

H-İndeks (Scholar)

11

Atıf (Diğer Toplam)

6

Proje

8

Tez Danışmanlığı

8

Açık Erişim

15
BM Sürdürülebilir Kalkınma Amaçları