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Academician

SONGÜL KAYA MERDAN

Profesör

Orta Doğu Teknik Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü

Research topics OpenAlex
  1. Ana Dal Fen Bilimleri ve Matematik Temel Alanı
  2. Yan Dal Matematik
Keywords YÖKSİS
Articles 38 YÖKSİS 38 · OpenAlex 0 Total citations 1,080 h-index 16 · OpenAlex OpenAlex coverage %87 matched 33 / 38 Q1 articles 26 Scopus · WoS Q1 26 Best field rank #177 / 2,590 Side field · top 6.8% Co-authors 24 7 Turkish institutions

Citation impact

Citation counts of the articles matched in OpenAlex, citing publications from Crossref and the Stanford/Elsevier list. Sources are shown separately and never added up.

OpenAlex YÖKSİS articles matched in OpenAlex: 33
h-index 16 Percentile in Türkiye: 95 #123 of 1,012 at their university by h-index
i10-index
20
Total citations
1,080
Top 4.3% in Türkiye
Per article
32.7
FWCI
1.94
1.00 = world average
World top 1%
1
World top 10%
6

Most cited articles

  1. A Finite Element Variational Multiscale Method for the Navier Stokes Equations 2005 world top 1% 192 citations
  2. A projection based stabilized finite element method for steady state natural convection problem 2011 world top 10% 124 citations
  3. A two level variational multiscale method for convection dominated convection diffusion equations 2006 world top 10% 117 citations
How is this computed?

h-index and citations are computed from the citation counts of this academic’s YÖKSİS articles matched in OpenAlex (not Google Scholar, WoS or Scopus). Unmatched articles are not included. h-index on the OpenAlex author profile: 16.

Citing publications Crossref 115 publications citing 33 DOI-bearing articles · 15 Türkiye-affiliated
  • 2016 1
  • 2017 1
  • 2018 3
  • 2019 16
  • 2020 32
  • 2021 40
  • 2022 12
  • 2025 8
  • 2026 2
  1. DOI 10.1016/j.finel.2025.104491 2026
  2. DOI 10.1016/j.cam.2025.117181 2026
  3. Advanced turbulence modeling approaches for water treatment processes: a comprehensive review TR Gülnur Haçat et al. · Journal of Water Process Engineering · 2025
  4. DOI 10.1007/978-3-031-95709-3_19 2025
  5. DOI 10.1137/25m1736104 2025
  6. DOI 10.1515/cmam-2024-0200 2025
  7. DOI 10.1002/qute.202500618 2025
  8. DOI 10.3390/sym17122183 2025
  9. DOI 10.3390/aerospace12110956 2025
  10. DOI 10.1016/j.camwa.2025.10.025 2025
  11. A grad-div stabilized penalty projection algorithm for fluid-fluid interaction TR Mustafa Aggul · Applied Mathematics and Computation · 2022 · cites 2 articles of this academic
  12. DOI 10.1016/j.compfluid.2021.105265 2022 · cites 3 articles of this academic
  13. DOI 10.1016/j.cma.2022.114576 2022
  14. DOI 10.3390/e24020236 2022 · cites 4 articles of this academic
  15. DOI 10.1016/j.camwa.2022.02.014 2022 · cites 2 articles of this academic
  16. DOI 10.1016/j.apnum.2021.12.010 2022
  17. DOI 10.1016/j.compfluid.2021.105300 2022
  18. DOI 10.1016/j.cam.2021.113934 2022
  19. DOI 10.1016/j.cam.2022.114187 2022
  20. DOI 10.1016/j.cam.2021.114029 2022
  21. DOI 10.1016/j.cma.2021.114546 2022
  22. DOI 10.1080/00036811.2022.2047947 2022
  23. A Variable Stepsize, Variable Order Family of Low Complexity TR Victor DeCaria et al. · SIAM Journal on Scientific Computing · 2021
  24. Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction TR Mustafa Aggul et al. · Applied Numerical Mathematics · 2021 · cites 3 articles of this academic
  25. Defect-deferred correction method based on a subgrid artificial viscosity modeling TR Mustafa Aggul · Journal of Mathematical Analysis and Applications · 2021 · cites 3 articles of this academic
  26. On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field TR Aytekin Cibik et al. · Numerical Algorithms · 2021
  27. Improving Regularization Techniques for Incompressible Fluid Flows via Defect Correction TR Dilek Erkmen et al. · Computational Methods in Applied Mathematics · 2021 · cites 2 articles of this academic
  28. Improving accuracy in the Leray model for incompressible nonisothermal flows via adaptive deconvolution‐based nonlinear filtering TR Mine Akbaş et al. · Mathematical Methods in the Applied Sciences · 2021
  29. DOI 10.1002/mma.7627 2021
  30. DOI 10.1002/num.22843 2021

Showing the 30 most recent.

Where does this list come from?

Extracted from the reference lists in Crossref’s public March 2026 data file; 20.3% of the file has been processed, so the list may be incomplete. Crossref citations are never added to or compared with the OpenAlex citation counts; the two sources have different coverage.

Field ranking

Position in the main-field, side-field and keyword cohorts by YÖKSİS article score; each card opens that ranking.

YÖKSİS ?
Keyword rankings 2

Works 38

YÖKSİS and OpenAlex records: index distribution, journals published in, a filterable article list and the other output types.

Indexes and citation percentiles

?
TR Index 0 articles
OpenAlex citation percentile
Top 1%1
Top 10%6
Avg · n 33 %69.8
Other counts

Scopus (SJR)

  • YÖKSİS rows 38

WoS (JCR)

  • YÖKSİS rows 36

Articles

Articles with YÖKSİS and OpenAlex source split; narrow by quartile or TR Index.

38articles

Journals with publications

18 journals

Narrow down

Scopus (SJR)
Q126 Q210 Q32 Q40
WoS (JCR)
Q126 Q26 Q34 Q40
TR Index
0articles

Article list

  1. 2026 Optimal Control problems of NS-$$\alpha $$ and NS-$$\omega $$ turbulence models: analysis and numerical tests Numerical Algorithms DOI 10.1007/s11075-025-02013-z YÖKSİS SJR Q1 JCR Q1 OpenAlex 69.7%
  2. 2024 On an optimal control problem of the Leray-α model Journal of Computational and Applied Mathematics DOI 10.1016/j.cam.2023.115419 YÖKSİS SJR Q2 JCR Q1 OpenAlex 46.3%
  3. 2023 An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations Journal of Scientific Computing DOI 10.1007/s10915-023-02277-4 YÖKSİS SJR Q1 JCR Q1 OpenAlex 74.4%
  4. 2023 Deferred correction method for the continuous data assimilation model Elsevier BV DOI 10.1016/j.cma.2023.116259 YÖKSİS SJR Q1 JCR Q1 OpenAlex 58.1%
  5. 2023 Artificial compression method for MHD system in Elsässer variables Elsevier BV DOI 10.1016/j.apnum.2022.11.009 YÖKSİS SJR Q1 JCR Q1 OpenAlex 56.3%
  6. 2022 Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization Applied Mathematics and Computation DOI 10.1016/j.amc.2022.127240 YÖKSİS SJR Q1 JCR Q1 OpenAlex 33.6%
  7. 2022 Time filtered second order backward Euler method for EMAC formulation of Navier-Stokes equations Elsevier BV DOI 10.1016/j.jmaa.2022.126562 YÖKSİS SJR Q1 JCR Q2 OpenAlex 59.8%
  8. 2021 On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field Numerical Algorithms DOI 10.1007/s11075-020-01046-w YÖKSİS SJR Q1 JCR Q1 OpenAlex 35.4%
  9. 2021 Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction Applied Numerical Mathematics DOI https://linkinghub.elsevier.com/retrieve/pii/S0168927420303111 YÖKSİS SJR Q1 JCR Q1
  10. 2020 Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations JOURNAL OF SCIENTIFIC COMPUTING DOI http://link.springer.com/10.1007/s10915-020-01142-y YÖKSİS SJR Q1 JCR Q1
  11. 2020 LONG TIME STABILITY OF A LINEARLY EXTRAPOLATEDBLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS International Journal of Numerical Analysis and Modeling DOI http://www.math.ualberta.ca/ijnam/Volume-17-2020/No-1-20/2020-01-02.pdf YÖKSİS SJR Q2 JCR Q2
  12. 2020 A Second order Decoupled Penalty Projection Method based on Deferred Correction for MHD in Elsasser variable journal of computational and applied mathematics DOI 10.1016/j.cam.2019.112694 YÖKSİS SJR Q2 JCR Q1 OpenAlex 66.9%
  13. 2020 A projection based variational multiscale method for a fluid–fluid interaction problem Computer Methods in Applied Mechanics and Engineering DOI https://linkinghub.elsevier.com/retrieve/pii/S0045782520301407 YÖKSİS SJR Q1 JCR Q1 OpenAlex 82.4%
  14. 2019 POD-ROM for the Darcy–Brinkman equations with double-diffusive convection Journal of Numerical Mathematics DOI 10.1515/jnma-2017-0122 YÖKSİS SJR Q1 JCR Q1 OpenAlex 80.8%
  15. 2019 On the extrapolated VMS-POD method for incompressible flows Computer Methods in Materials Science DOI www.cmms.agh.edu.pl/abstract.php?p_id=634 YÖKSİS SJR Q3 OpenAlex 15.6%
  16. 2019 A family of second order time stepping methods for the Darcy-Brinkman equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS YÖKSİS SJR Q1 JCR Q1
  17. 2019 A family of second order time stepping methods for the Darcy-Brinkman equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS DOI 10.1016/j.jmaa.2018.11.015 YÖKSİS SJR Q1 JCR Q1 OpenAlex 6.5%
  18. 2019 Two approaches to creating a turbulence model with increased temporal accuracy Applied Mathematics and Computation DOI 10.1016/j.amc.2018.12.074 YÖKSİS SJR Q1 JCR Q1 OpenAlex 70.8%
  19. 2019 Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations IAENG International Journal of Applied Mathematics YÖKSİS SJR Q3
  20. 2018 Finite Element Error Analysis of a Mantle Convection Model International Journal of Numerical Analysis and Modeling YÖKSİS SJR Q2 JCR Q2 OpenAlex 23.4%

Projects 8 See all (8) →

  1. 2023 Türbülanslı Akışların Optimal Kontrolü Için Zaman Süzgecine Dayalı Verimli Algoritmaların Matematiksel Ve Fiziksel Analizlerinin Ve Etkili Hesaplamalı Yöntemlerinin Araştırılması -Tübitak 1001 · Tamamlandı 2023-01-08 – 2023-01-05
  2. 2018 Zaman adımlı metotların doğal konveksiyon problemleri için sayısal incelemesi ORTA DOĞU TEKNİK ÜNİVERSİTESİ Yükseköğretim Kurumları tarafından destekli bilimsel araştırma projesi · Tamamlandı 2018-05-21 – 2019-07-11
  3. 2019 Manyetik Alan Etkisi Altindaki Çift Yayinimli Doğal Konveksiyon Problemi İçin İkinci Mertebe Zaman Adimlamasi Yöntemleri Ailesi -Tübitak 1002 · Tamamlandı 2019-01-15 – 2020-01-15
  4. 2017 BDF2 diskterizasyonlu SUPG sonlu eleman yönteminin sayısal analizi üzerine ORTA DOĞU TEKNİK ÜNİVERSİTESİ Yükseköğretim Kurumları tarafından destekli bilimsel araştırma projesi · Tamamlandı 2017-01-01 – 2017-12-31
  5. 2016 Grup Ortalamalı Turbulansli Akış Metodunun Sayısal İncelemesi ORTA DOĞU TEKNİK ÜNİVERSİTESİ Yükseköğretim Kurumları tarafından destekli bilimsel araştırma projesi · Tamamlandı 2016-01-01 – 2016-12-31

Books 3

  1. 2020 Numerical Solutions of Realistic Nonlinear Phenomena. Nonlinear Systems and Complexity Springer ISBN 978-3-030-37141-8 Kitap Bölümü · Bilimsel Kitap
  2. 2016 Numerical Mathematics and Advanced Applications ENUMATH 2015 Springer ISBN 978-3-319-39929-4 Kitap Bölümü · Bilimsel Kitap
  3. 2011 Numerical Analysis of a Variational Multiscale Method for Turbulence LAP LAMBERT Academic Publishing ISBN 384543208X Bilimsel Kitap

Proceedings 20 See all (20) →

  1. 2018 A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations World Congress on Engineering 2018
  2. 2018 Numerical Analysis of a Family of Second Order Time Stepping Methods for Boussinesq Equations World Congress on Engineering 2018
  3. 2019 A Numerical Study of a Modular Sparse Grad-Div Stabilization Method for Boussinesq Equations 8th International Conference on Mathematical Modeling in Physical Science
  4. 2019 ON THE EXTRAPOLATED VMS-POD METHOD FORINCOMPRESSIBLE FLOWS 5th ECCOMAS Young Investigators Conference
  5. 2019 Numerical Investigation of the Boussinesq equations through a Subgrid Artificial Viscosity Method The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019)

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Collaboration network

From the author lists of YÖKSİS publication records. Duplicate records of a work count once; institutions are co-authors’ current YÖKSİS affiliations.

Co-authors
24
With an akaturk profile
8
Turkish institutions
7
Co-authored works
%100

Academic co-authors 8

  1. AYTEKİN BAYRAM ÇIBIK Profesör · Gazi Üniversitesi 13
  2. FATMA GÜLER EROĞLU Doktor Öğretim Üyesi · Atılım Üniversitesi 11
  3. MUSTAFA AĞGÜL Doçent · Hacettepe Üniversitesi 5
  4. MİNE AKBAŞ Doçent · Tarsus Üniversitesi 4
  5. FİKRİYE NURAY YILMAZ Profesör · Gazi Üniversitesi 2
  6. GÜLNUR HAÇAT YILMAZOĞLU Öğretim Görevlisi (uygulamalı Birim) · Yalova Üniversitesi 2
  7. DİLEK ERKMEN VATANSEVER Doktor Öğretim Üyesi · Ağrı İbrahim Çeçen Üniversitesi 1
  8. FİKRİYE YILMAZ Profesör · Başkent Üniversitesi 1

National collaboration 7 institutions

  1. Gazi Üniversitesi 13 works · 2 academics
  2. Atılım Üniversitesi 11 works · 1 academics
  3. Hacettepe Üniversitesi 5 works · 1 academics
  4. Tarsus Üniversitesi 4 works · 1 academics
  5. Yalova Üniversitesi 2 works · 1 academics
  6. Ağrı İbrahim Çeçen Üniversitesi 1 works · 1 academics
  7. Başkent Üniversitesi 1 works · 1 academics

Other co-authors (incl. international) 16

Leo Rebholz 8John Volker 5Layton William 3MEDİNE DEMİR 3Manica Carolina Cardoso 3Rivière Béatrice 3Adele KindlAlex LabovskyAlexander E LabovskyAytekin ÇıbıkAziz TakhirovGülnur HacatJiang NanJulia NovoMuhammed MohebujjamanNicholas Wilson

Authors without an akaturk profile (international researchers, retired or former academics, students, clinicians) are grouped by name spelling; short forms such as “Gulluce M.” join the single full name they match.