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Publication
38
Open Access
20
Announcements & Documents
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Education
2006 - 2010
2006 - 2010Doctorate
Université Paris VI, Laboratoire Jacques-Louis Lions, Matematik, France
2003 - 2005
2003 - 2005Postgraduate
Ihsan Dogramaci Bilkent University, Instıtute Of Engıneerıng And Natural Scıences, Matematik (Yl) (Tezli), Turkey
1998 - 2003
1998 - 2003Undergraduate
Middle East Technical University, Faculty of Arts and Sciences, Department of Mathematics, Turkey
Dissertations
2010
2010Doctorate
Finite volume methods for non-linear hyperbolic conservation laws on manifolds
Université Paris VI, Laboratoire Jacques-Louis Lions – UMR 7598
Research Areas
Mathematics
Partial Differential Equations
Numerical Analysis
Physics
General Physics
Relativity and Gravitation
Natural Sciences
Research Areas Based on Academic Activities
Avesis Research Areas
WoS Research Areas
Scopus Research Areas
Academic Positions
2019 - Continues
2019 - ContinuesAssociate Professor
Middle East Technical University, Faculty Of Arts And Sciences, Department Of Mathematics
2011 - 2019
2011 - 2019Assistant Professor
Middle East Technical University, Faculty Of Arts And Sciences, Department Of Mathematics
Non Academic Experience
2011 - 2011
2011 - 2011Part time lecturer
Middle East Technical Universitiy, Part time lecturer
2009 - 2011
2009 - 2011Asistan
Université Paris Dauphine (Paris 9), Asistan
2009 - 2010
2009 - 2010Asistan
Ecole d'Ingénieur EFREI, Asistan
2003 - 2005
2003 - 2005Asistan
Bilkent Üniversitesi, Asistan
Supervised Theses
2024
2024Postgraduate
Adaptive Mesh Refinement for One Dimensional Scalar Conservation Laws
Okutmuştur B. (Advisor)
K.ÇAR(Student)
2023
2023Postgraduate
Classical and numerical solutions of the viscous burgers equation
Okutmuştur B. (Advisor)
M.KOŞAR(Student)
2019
2019Postgraduate
The Compressible Euler System and Its Numerical Analysis
Okutmuştur B.
E.Yılmaz(Student)
2017
2017Postgraduate
Inviscid burgers equations and its numerical solutions
OKUTMUŞTUR B. (Advisor)
N.Oyar(Student)
2015
2015Doctorate
The relativistic Burgers equation on a Friedmann–Lemaître–Robertson–Walker (FLRW) background and its finite volume approximation
OKUTMUŞTUR B. (Advisor)
T.Ceylan(Student)
Articles
All (10)
SCI-E, SSCI, AHCI (6)
SCI-E, SSCI, AHCI, ESCI (7)
ESCI (1)
Scopus (9)
TRDizin (2)
2023
20231. A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results
Yılmaz N., Gözen S. M., Pişkin E., Okutmustur B.
Mathematica Applicanda
, vol.51, no.2, pp.143-164, 2023 (Scopus)
2018
20182. Propagations of Shock and Rarefaction Waves on the Reissner-Nordström Spacetimes for Burgers Models
Okutmuştur B.
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
, vol.22, pp.448-459, 2018 (TRDizin)
2018
20183. A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime
Ceylan T., Lefloch P. G., Okutmuştur B.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
, vol.23, pp.500-519, 2018 (SCI-Expanded, Scopus)
2017
20174. Finite volume approximation of the relativistic Burgers equation on a Schwarzschild-(anti-)de Sitter spacetime
Ceylan T., Okutmuştur B.
TURKISH JOURNAL OF MATHEMATICS
, vol.41, pp.1027-1041, 2017 (SCI-Expanded, Scopus, TRDizin)
2016
20165. Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime
Ceylan T., Okutmuştur B.
Mathematical and Computational Applications
, vol.21, 2016 (ESCI, Scopus)
2012
20126. RELATIVISTIC BURGERS EQUATIONS ON CURVED SPACETIMES. DERIVATION AND FINITE VOLUME APPROXIMATION
Lefloch P. G., Makhlof H., Okutmuştur B.
SIAM JOURNAL ON NUMERICAL ANALYSIS
, vol.50, pp.2136-2158, 2012 (SCI-Expanded, Scopus)
2009
20097. Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
Lefloch P. G., Okutmustur B., Neves W.
ACTA MATHEMATICA SINICA-ENGLISH SERIES
, vol.25, pp.1041-1066, 2009 (SCI-Expanded, Scopus)
2008
20088. FINITE VOLUME SCHEMES ON LORENTZIAN MANIFOLDS
Amorim P., Lefloch P. E., Okutmustur B.
COMMUNICATIONS IN MATHEMATICAL SCIENCES
, vol.6, pp.1059-1086, 2008 (SCI-Expanded, Scopus)
2008
20089. Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
Lefloch P. G., Okutmustur B.
Far East Journal of Mathematical Sciences
, vol.31, pp.49-83, 2008 (Scopus)
2008
200810. Hyperbolic conservation laws on manifolds with limited regularity
Lefloch P. G., Okutmustur B.
COMPTES RENDUS MATHEMATIQUE
, vol.346, pp.539-543, 2008 (SCI-Expanded, Scopus)
Papers Presented at Peer-Reviewed Scientific Conferences
2019
20191. A Survey on Spacetime Geometries and Relativistic Models
Okutmuştur B.
4th International Engineering, Science and Education Conferences (INESEC), Diyarbakır, Turkey, 6 - 09 November 2019, pp.41, (Summary Text)
2018
20182. Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models
Okutmuştur B.
16th International Geometry Symposium, Manisa, Turkey, 4 - 07 July 2018, pp.149, (Summary Text)
2018
20183. Relativistic Burgers Models on Curved Background Geometries
Okutmuştur B.
International Conference on Finite Difference Methods, Bulgaria, 11 - 16 June 2018, vol.11386, pp.370-377, (Full Text)
2018
20184. Analysis of Burgers Model on Reisnerr-Nordstrom Spacetime by Finite Volume Approximations
Okutmuştur B.
Seventh Conference on Finite Difference Methods: Theory and Applications, Burgas, Bulgaria, 11 - 16 June 2018, pp.36, (Summary Text)
2017
20175. Propagation of shock and rarefaction waves for the relativistic Burgers models on Reisnerr-Nordstrom spacetime.
Okutmuştur B.
III. International Conference on Symmetries, Differential Equations and Applications (SDEA-III), İstanbul, Turkey, 14 - 17 August 2017, pp.38, (Summary Text)
2017
20176. Numerical Analysis of Relativistic Burgers Model on FLRW Spacetime.
Okutmuştur B.
III. International Conference on Symmetries, Differential Equations and Applications (SDEA-III), İstanbul, Turkey, 14 - 17 July 2017, pp.32, (Summary Text)
2016
20167. Analysis of the Relativistic Burgers models on spacetime geometries
Okutmuştur B.
International Conference on Hyperbolic Problems Theory, Numerics, Applications, Aachen, Germany, 1 - 05 August 2016, pp.88-89, (Summary Text)
2016
20168. Shock and Rarefaction Waves for Burgers Models on Spacetime Geometries Comparison and Analysis
Okutmuştur B.
2nd International Conference on Analysis and Its Application, Kırşehir, Turkey, 12 - 15 July 2016, pp.73, (Summary Text)
2016
20169. 1 1 Boyutlu De Sitter ve Anti De Sitter Uzay Zamanlarnda Burgers Modellerinin Teorik ve Numerik incelenmesi
Okutmuştur B.
11. Ankara Matematik Günleri Sempozyomu, Ankara, Turkey, 26 - 27 May 2016, pp.38, (Summary Text)
2015
201510. Derivation and Finite Volume Approximation of the Relativistic Burgers Equation on a De Sitter Background
Okutmuştur B., Ceylan T.
ENUMATH 2015, Ankara, Turkey, 14 - 18 September 2015, pp.156, (Summary Text)
2015
201511. Kivrimli Uzay zamanlarda Rölativistik Burgers Denklemleri
Okutmuştur B.
10. Ankara Matematik Günleri, ODTU, Ankara., Ankara, Turkey, 11 - 12 June 2015, pp.10, (Summary Text)
2014
201412. Derivation of the relativistic Burgers equation on a de Sitter background
Okutmuştur B., Ceylan T.
Proccedings of 19th International Conference on Applied Mathematics, Mathematics and Computers in Science and Engineering Series, İstanbul, Turkey, 15 - 17 December 2014, vol.38, pp.41-47, (Full Text)
2013
201313. Derivation and numerical study of relativistic Burgers equations on a curved spacetime
Lefloch P., Hasan M., Okutmuştur B.
WONAPDE 2013 - Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepcion, Chile, 14 - 18 September 2013, pp.180, (Summary Text)
2013
201314. Burgers equations depending on the background geometry
Okutmuştur B.
UMS2013 - 26. Ulusal Matematik Sempozyumu. Dicle Universitesi, Diyarbakir., Diyarbakır, Turkey, 4 - 07 September 2013, (Summary Text)
2012
201215. Derivation and numerical study of relativistic Burgers equations posed on Schwarzschild spacetime
Okutmuştur B.
ICAAM 2012, First International Conference on Analysis and Applied Mathematics, Gümüşhane, Turkey, 18 - 21 October 2012, pp.45, (Summary Text)
2012
201216. Relativistic Burgers equations on a curved spacetime
Okutmuştur B.
14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padua, Italy, 25 - 29 June 2012, pp.92, (Summary Text)
2010
201017. The relativistic version of Burgers equation
OKUTMUŞTUR B.
Congress of CANUM, 40e Congress of Numerical Analysis, (CANUM 2010), Carcans-Maubuisson, Gironde, France, 31 May - 04 June 2010, (Summary Text)
2009
200918. Convergence of finite volume schemes for hyperbolic conservation laws on spacetimes
Okutmuştur B.
Computational Methods and Function Theory (CMFT), Ankara, Turkey, 8 - 12 June 2009, pp.46, (Summary Text)
2009
200919. Convergence de schémas volumes finis pour les lois de conservation hyperboliques posées sur un espace temps
OKUTMUŞTUR B., Philippe L.
Congress of SMAI, 4th Biennial French Applied and Industrial Mathematics,, Alpes-Maritimes, France, 25 - 29 May 2009, (Summary Text)
2008
200820. Lois de conservation hyperboliques sur les variétés une estimation d error pour le schema de volume fini
OKUTMUŞTUR B., LeFloch P., Neves W.
Congress of CANUM, 39th Congress of Numerical Analysis (CANUM 2008), Vendée, France, 26 - 30 May 2008, (Summary Text)
2007
200721. Convergence de la méthode des volumes finis pour les lois de conservation hyperboliques sur des variétés Lorentziennes
Paulo A., Philippe L., OKUTMUŞTUR B.
Congress of SMAI, 3rd Congress of Applied and Industrial Mathematics, Praz sur Arly, France, 4 - 08 June 2007, (Summary Text)
Books
2021
20211. An Introduction to Sobolev Spaces
Pişkin E., Okutmuştur B.
Bentham Science Publishers, Sharjah, 2021
2020
20202. A Survey on Hilbert Spaces and Reproducing Kernels
Okutmuştur B.
in: Functional Calculus, Kamal Shah,Baver Okutmuştur, Editor, IntechOpen, London, pp.61-77, 2020
2019
20193. A FIRST COURSE IN ANALYSIS - Introductory Calculus
Okutmuştur B.
Nobel Yayın Dağıtım, Ankara, 2019
2019
20194. Scalar Conservation Laws
Okutmuştur B.
in: Advanced Computational Fluid Dynamics for Emerging Engineering Processes - Eulerian vs. Lagrangian, Albert S. Kim, Editor, IntechOpen, London, pp.69-92, 2019
2019
20195. Relativistic Burgers Models on Curved Background Geometries
Okutmuştur B.
in: Finite Difference Methods. Theory and Applications, Ivan Dimov,Istvan Farago,Lubin Vulkov, Editor, Springer-Verlag , Zug, pp.370-377, 2019
2017
20176. Finite Volume Method For Hyperbolic Conservation Laws On Manifolds
Okutmuştur B.
LAP LAMBERT Academic Publishing, Saarbrücken, 2017
2010
20107. Reproducing Kernel Hilbert Spaces The Basics Bergman Spaces and Interpolation Problems
Okutmuştur B., Aurelian G.
LAP Lambert Academic Publishing, Saarbrücken, 2010
Funded Projects
2023 - 2028
2023 - 20282248 - LİSANS BURSİYERLERİ
TUBITAK Project , 2248-Mentoring Support Program
Okutmuştur B. (Executive)
2023 - 2024
2023 - 2024Numerical Analysis of the relativistic Burgers Equations by Adaptive Moving Mesh Methods
TUBITAK Project , 2219 - Yurt Dışı Doktora Sonrası Araştırma Burs Programı
(Project Abstract)
Okutmuştur B. (Executive)
2018 - 2020
2018 - 2020Reissner-Nordström Uzay-zaman Geometrisinde Burgers Modellerinin Analizi
Project Supported by Higher Education Institutions , BAP Research Project
OKUTMUŞTUR B. (Executive)
2016 - 2016
2016 - 2016"Schwarzschild-de Sitter" uzay-zamanında Ro¨lativistik Burgers denklem modelinin sonlu hacim yo¨ntemleriyle teorik ve nu¨merik olarak incelenmesi
Project Supported by Higher Education Institutions , BAP Other
OKUTMUŞTUR B. (Executive)
2015 - 2016
2015 - 2016Yapay sinir ağlarının karmaşık dinamik davranışları
Project Supported by Higher Education Institutions , BAP Other
OKUTMUŞTUR B. (Executive)
2013 - 2014
2013 - 2014FLRW uzay zamaninda Rölativist Burgers denklemleri
Project Supported by Higher Education Institutions , BAP Other
OKUTMUŞTUR B. (Executive), Ceylan T., Uzunca M.
Activities in Scientific Journals
2025 - Present
2025 - PresentOPUS Journal of Society Research
Editor
2016 - 2016
2016 - 2016Turkish Journal of Mathematics
Special Issue Editor
Memberships and Roles in Scientific Organizations
2026 - Present
2026 - PresentAmerican Mathematical Society
Member
Peer Reviews in Scientific Publications
April 2024
April 2024CONSTRUCTIVE APPROXIMATION
Journal Indexed in SCI-E
April 2023
April 2023TURKISH JOURNAL OF MATHEMATICS
Journal Indexed in SCI-E
September 2021
September 2021SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
Journal Indexed in ESCI
September 2020
September 2020The Aligarh Bulletin of Mathematics
Other Indexed Journal
June 2020
June 2020HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Journal Indexed in SCI-E
May 2020
May 2020HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Journal Indexed in SCI-E
February 2020
February 2020Konuralp Journal of Mathematics
Other Indexed Journal
February 2020
February 2020BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
Journal Indexed in SCI-E
December 2019
December 2019Journal of New Results in Science
Other Indexed Journal
September 2019
September 2019SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
Journal Indexed in ESCI
September 2019
September 2019Middle East Journal of Science
Other Indexed Journal
July 2019
July 2019HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Journal Indexed in SCI-E
April 2019
April 2019JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Journal Indexed in SCI-E
April 2019
April 2019Middle East Journal of Science
Other Indexed Journal
January 2019
January 2019Punjab University Journal of Mathematics
Journal Indexed in ESCI
November 2018
November 2018Journal Of Mathematical Physics
SCI Journal
November 2018
November 2018MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Journal Indexed in SCI-E
November 2018
November 2018Fundamental Journal of Mathematics and Applications
Other Indexed Journal
October 2018
October 2018MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Journal Indexed in SCI-E
May 2018
May 2018Computer Methods in Applied Mechanics and Engineering
SCI Journal
May 2018
May 2018Journal of Physics Communications
Journal Indexed in ESCI
December 2017
December 2017Journal of Physics Communications
Other Indexed Journal
May 2017
May 2017SIAM Journal on Numerical Analysis
SCI Journal
April 2017
April 2017Numerische Mathematik
SCI Journal
August 2016
August 2016Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
National Scientific Refreed Journal
November 2013
November 2013Turkish Journal of Mathematics
SCI Journal
July 2013
July 2013Abstract and Applied Analysis
SCI Journal
Scientific Project Refereeing
June 2019
June 2019Project Supported by Higher Education Institutions
BAP Research Project, Middle East Technical University, Turkey
May 2019
May 2019Project Supported by Higher Education Institutions
BAP Research Project, Middle East Technical University, Turkey
May 2019
May 2019Project Supported by Higher Education Institutions
BAP Research Project, Middle East Technical University, Turkey
Congress and Symposium Activities
01 July 2018 - 01 July 2018
01 July 2018 - 01 July 201816th International Geometry Symposium, Manisa Celal Bayar University.
Attendee
Manisa-Turkey
01 June 2018 - 01 June 2018
01 June 2018 - 01 June 2018Seventh Conference on Finite Difference Methods: Theory and Applications (FDM: T&A'2018)
Working Group
Burgas-Bulgaria
01 August 2017 - 01 August 2017
01 August 2017 - 01 August 2017III. International Conference on Symmetries, Differential Equations and Applications (SDEA-III),
Attendee
--Seçiniz---Turkey
01 August 2016 - 01 August 2016
01 August 2016 - 01 August 2016XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications,
Attendee
Aachen-Germany
01 July 2016 - 01 July 2016
01 July 2016 - 01 July 20162nd International Conference on Analysis and Its Application
Attendee
--Seçiniz---Turkey
01 May 2016 - 01 May 2016
01 May 2016 - 01 May 201611. Ankara Matematik Günleri
Attendee
Ankara-Turkey
01 June 2015 - 01 June 2015
01 June 2015 - 01 June 201510. Ankara Matematik Günler
Attendee
-Turkey
01 December 2014 - 01 December 2014
01 December 2014 - 01 December 201419th International Conference on APPLIED MATHEMATICS
Attendee
İstanbul-Turkey
01 September 2013 - 01 September 2013
01 September 2013 - 01 September 201326. Ulusal Matematik Sempozyumu.
Attendee
Diyarbakır-Turkey
01 January 2013 - 01 January 2013
01 January 2013 - 01 January 2013Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations,
Attendee
Concepcion-Chile
01 October 2012 - 01 October 2012
01 October 2012 - 01 October 2012First International Conference on Analysis and Applied Mathematics
Attendee
--Seçiniz---Turkey
01 June 2012 - 01 June 2012
01 June 2012 - 01 June 201214th International Conference on Hyperbolic Problems: Theory, Numerics, Applications.
Attendee
Padua-Italy
01 June 2010 - 01 June 2010
01 June 2010 - 01 June 2010Congress of CANUM, Congress of numerical analysis,
Attendee
Bordeaux-France
01 June 2009 - 01 June 2009
01 June 2009 - 01 June 2009Computational Methods and Function Theory (CMFT)
Attendee
--Seçiniz---Turkey
01 May 2009 - 01 May 2009
01 May 2009 - 01 May 2009Congress of SMAI, 4th Biennial French Applied and Industrial Mathematics,
Attendee
Alpes-Maritimes-France
01 June 2007 - 01 June 2007
01 June 2007 - 01 June 2007Congress of SMAI, Congress of Applied and Industrial Mathematics
Attendee
--Seçiniz---France
Citations
Total Citations (WOS): 72
h-index (WOS): 5
Jury Memberships
August-2025
August 2025Post Graduate
Ruya Imad Jamalín Yuksek Lisans Tez Savunması - Çankaya Üniversitesi
May-2025
May 2025Doctoral Examination
Mucahit Ozalp DYS - Orta Doğu Teknik Üniversitesi
November-2024
November 2024PhD Thesis Monitoring Committee Member
Duygu Calik TIK - Orta Doğu Teknik Üniversitesi
May-2021
May 2021Doctoral Examination
Sedanur Mazi PhD Qualify Exam - İstanbul Teknik Üniversitesi
December-2019
December 2019Post Graduate
Mathematical Modeling of Blood Flow Through Arteries and Investigation of Some Pathological cases in Cardiovascular system using Grad-Div stabilization - Orta Doğu Teknik Üniversitesi
June-2018
June 2018Post Graduate
Nurdan Kar Tez Savunması - Hacettepe Üniversitesi
July-2016
July 2016