Publications & Works

Publication Network

Published journal articles indexed by SCI, SSCI, and AHCI

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 , vol.436, 2024 (SCI-Expanded) identifier identifier

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 , vol.415, 2023 (SCI-Expanded) identifier identifier

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 , vol.96, no.2, 2023 (SCI-Expanded) identifier identifier

Artificial compression method for MHD system in Elsässer variables

Aggul M., Eroglu F. G., Merdan S.
Applied Numerical Mathematics , vol.185, pp.72-87, 2023 (SCI-Expanded) identifier identifier

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 , vol.516, no.2, 2022 (SCI-Expanded) identifier identifier

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 , vol.430, 2022 (SCI-Expanded) identifier identifier

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 , vol.88, no.1, pp.475-498, 2021 (SCI-Expanded) identifier identifier

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

AĞGÜL M., Kaya S.
Applied Numerical Mathematics , vol.160, pp.178-191, 2021 (SCI-Expanded) identifier identifier

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

DEMİR M., Kaya S.
Applied Numerical Mathematics , vol.156, pp.140-157, 2020 (SCI-Expanded) identifier identifier

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 , vol.365, 2020 (SCI-Expanded) Creative Commons License identifier identifier identifier

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 , vol.371, 2020 (SCI-Expanded) identifier identifier

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

Cibik A., EROĞLU F. G., Kaya S.
Journal of Scientific Computing , vol.82, no.2, 2020 (SCI-Expanded) identifier identifier

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 , vol.17, no.1, pp.24-41, 2020 (SCI-Expanded) identifier identifier

Two approaches to creating a turbulence model with increased temporal accuracy

Aggul M., Kaya S., Labovsky A. E.
Applied Mathematics and Computation , vol.358, pp.25-36, 2019 (SCI-Expanded) identifier identifier

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

Eroglu F. G., Kaya S., Rebholz L. G.
JOURNAL OF NUMERICAL MATHEMATICS , vol.27, pp.123-139, 2019 (SCI-Expanded) identifier

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 , vol.472, no.1, pp.148-175, 2019 (SCI-Expanded) identifier identifier

FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

John V., KAYA MERDAN S., Novo J.
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , vol.15, pp.677-698, 2018 (SCI-Expanded) identifier

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 , vol.325, pp.350-368, 2017 (SCI-Expanded) Creative Commons License identifier identifier

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 , vol.33, no.4, pp.999-1017, 2017 (SCI-Expanded) Creative Commons License identifier identifier

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 , vol.13, no.1, pp.90-113, 2016 (SCI-Expanded) identifier identifier

Analysis of Model Variance for Ensemble Based Turbulence Modeling

Jiang N., Kaya S., Layton W.
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS , vol.15, no.2, pp.173-188, 2015 (SCI-Expanded) identifier identifier

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

Belenli M. A., Kaya S., Rebholz L. G.
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS , vol.15, no.1, pp.1-20, 2015 (SCI-Expanded) identifier identifier

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 , vol.246, pp.23-38, 2014 (SCI-Expanded) identifier identifier

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 , vol.90, no.7, pp.1506-1523, 2013 (SCI-Expanded) identifier identifier

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 , vol.64, pp.35-49, 2013 (SCI-Expanded) identifier identifier

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 , vol.22, no.11, 2012 (SCI-Expanded) Creative Commons License identifier identifier

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

Cibik A., KAYA MERDAN S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , vol.381, no.2, pp.469-484, 2011 (SCI-Expanded) identifier identifier

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 , vol.344, no.2, pp.627-641, 2008 (SCI-Expanded) identifier identifier

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

Volker J., KAYA MERDAN S.
ADVANCES IN COMPUTATIONAL MATHEMATICS , vol.28, no.1, pp.43-61, 2008 (SCI-Expanded) identifier identifier

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 , vol.331, no.1, pp.669-685, 2007 (SCI-Expanded) identifier identifier

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

KAYA MERDAN S., Rivière B.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , vol.22, no.3, pp.728-743, 2006 (SCI-Expanded) Creative Commons License identifier identifier

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 , vol.195, pp.4594-4603, 2006 (SCI-Expanded) Creative Commons License identifier identifier

Subgrid stabilized defect correction methods for the Navier-Stokes equations

KAYA MERDAN S., William L., Béatrice R.
SIAM JOURNAL ON NUMERICAL ANALYSIS , vol.44, no.4, pp.1639-1654, 2006 (SCI-Expanded) identifier identifier

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

Volker J., KAYA MERDAN S.
SIAM JOURNAL ON SCIENTIFIC COMPUTING , vol.26, no.5, pp.1485-1503, 2005 (SCI-Expanded) identifier identifier

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

KAYA MERDAN S., Béatrice R.
SIAM JOURNAL ON NUMERICAL ANALYSIS , vol.43, no.4, pp.1572-1595, 2005 (SCI-Expanded) Creative Commons License identifier identifier

Articles Published in Other Journals

On the extrapolated VMS-POD method for incompressible flows

GÜLER EROĞLU F., KAYA MERDAN S.
Computer Methods in Materials Science , vol.19, pp.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 , vol.49, pp.134-144, 2019 (Scopus) Creative Commons License identifier

Refereed Congress / Symposium Publications in Proceedings

ON THE EXTRAPOLATED VMS-POD METHOD FORINCOMPRESSIBLE FLOWS

Güler Eroğlu F., Kaya Merdan S.
5th ECCOMAS Young Investigators Conference, Krakow, Poland, 1 - 06 September 2019, vol.19, pp.70-77 Creative Commons License identifier

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 August 2019, vol.2019, pp.1-4 identifier identifier

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, Netherlands, 30 September - 04 October 2019

A Review of Variational Multiscale Methods forMultiphysics Flow Problems

KAYA MERDAN S.
International Meeting on Applied Mathematics Evolution, 16 - 18 April 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, Turkey, 20 - 21 October 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, Turkey, 20 - 21 October 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, Turkey, 20 - 21 October 2018

penalty projection algorithm for MHD in Elsasser Variable,

KAYA MERDAN S.
world congress of mathematics, 1 - 09 August 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 July 2018, vol.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 July 2018, vol.1, pp.56-59 identifier

Numerical Study on Blood Flow Modelling in Arteries

KAYA MERDAN S., ökten i. t.
International Conference on Applied Mathematics in Engineering, 27 - 29 June 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 June 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, Turkey, 27 - 29 June 2018, pp.100

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

DEMİR M., ÇIBIK A. B., KAYA MERDAN S.
13. Ankara Matematik Günleri, Turkey, 27 - 28 May 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 May 2018

Variational Multiscale Proper Orthogonal Decomposition with Modular Regularization

GÜLER EROĞLU F., KAYA MERDAN S., Rebholz L.
CMMSE Spain 2017, Cadiz, Spain, 4 - 08 July 2017, pp.854-857

Sıkıştırılamaz akışlar içinprojeksiyona bağlı çok ölçekli varyasyonel uygun dik ayrıştırma metodu

GÜLER EROĞLU F., KAYA MERDAN S.
AMG Turkey 2017, Ankara, Turkey, 25 - 26 May 2017, pp.20

Projeksiyona Dayalı Çok ÖlçekliVaryasyonel Uygun Dik Ayrıştırma metodunun Modüler Regülarizasyonu

GÜLER EROĞLU F., KAYA MERDAN S.
IV.Kadın Matematikçiler Derneği Çalıştayı, Turkey, 28 - 29 April 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 October 2016

Projeksiyona Bağlı Modüler Regülarizasyonlu ve Ortogonal Ayrıştırmalı Metodun Sayısal Analizi

Güler F., KAYA MERDAN S.
11. Ankara Matematik Günleri, Turkey, 26 - 27 May 2016, pp.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, Turkey, 14 - 18 September 2015, vol.112, pp.115-122 identifier identifier

Books & Book Chapters

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

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

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

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

Numerical Analysis of a Variational Multiscale Method for Turbulence

KAYA MERDAN S.
LAP LAMBERT Academic Publishing, 2011

Expert Reports

Etik İncelemesi

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

Metrics

Publication

64

Citation (WoS)

715

H-Index (WoS)

13

Citation (Scopus)

806

H-Index (Scopus)

14

Project

8

Thesis Advisory

8

Open Access

15
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