Publication Network
Education Information
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
Academic Titles / Tasks
2018 - Continues
2018 - ContinuesAssistant Professor
Middle East Technical University, Faculty Of Arts And Sciences, Department Of Mathematics
2011 - 2018
2011 - 2018Assistant Professor
Middle East Technical University, Faculty Of Arts And Sciences, Department Of Mathematics
Courses
Advising Theses
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. (Consultant)
N.Oyar(Student)
2015
2015Doctorate
The relativistic Burgers equation on a Friedmann–Lemaître–Robertson–Walker (FLRW) background and its finite volume approximation
OKUTMUŞTUR B. (Consultant)
T.Ceylan(Student)
Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes
2018
2018A 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 (Journal Indexed in SCI)
2017
2017Finite 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 (Journal Indexed in SCI)
2016
2016Finite 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 (Journal Indexed in SCI Expanded)
2012
2012RELATIVISTIC 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 (Journal Indexed in SCI)
2009
2009Hyperbolic 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 (Journal Indexed in SCI)
2008
2008FINITE VOLUME SCHEMES ON LORENTZIAN MANIFOLDS
Amorim P., Lefloch P. E. , Okutmustur B.
COMMUNICATIONS IN MATHEMATICAL SCIENCES, vol.6, pp.1059-1086, 2008 (Journal Indexed in SCI)
2008
2008Hyperbolic conservation laws on manifolds with limited regularity
Lefloch P. G. , Okutmustur B.
COMPTES RENDUS MATHEMATIQUE, vol.346, pp.539-543, 2008 (Journal Indexed in SCI)
Articles Published in Other Journals
2018
2018Propagations 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 (National Refreed University Journal)
2008
2008Hyperbolic 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 (Refereed Journals of Other Institutions)
Refereed Congress / Symposium Publications in Proceedings
2019
2019A 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
2018
2018Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models
Okutmuştur B.
16th International Geometry Symposium, Manisa, Turkey, 4 - 07 July 2018, pp.149
2018
2018Relativistic Burgers Models on Curved Background Geometries
Okutmuştur B.
International Conference on Finite Difference Methods, Bulgaria, 11 - 16 June 2018, vol.11386, pp.370-377
2018
2018Analysis 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
2017
2017Propagation 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
2017
2017Numerical 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
2016
2016Analysis 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
2016
2016Shock 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
2016
20161 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
2015
2015Derivation 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
2015
2015Kivrimli Uzay zamanlarda Rölativistik Burgers Denklemleri
Okutmuştur B.
10. Ankara Matematik Günleri, ODTU, Ankara., Ankara, Turkey, 11 - 12 June 2015, pp.10
2014
2014Derivation 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
2013
2013Derivation 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
2013
2013Burgers equations depending on the background geometry
Okutmuştur B.
UMS2013 - 26. Ulusal Matematik Sempozyumu. Dicle Universitesi, Diyarbakir., Diyarbakır, Turkey, 4 - 07 September 2013
2012
2012Derivation 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
2012
2012Relativistic 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
2010
2010The 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
2009
2009Convergence 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
2009
2009Convergence 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
2008
2008Lois 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
2007
2007Convergence 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
Books & Book Chapters
2021
2021An Introduction to Sobolev Spaces
Pişkin E., Okutmuştur B.
Bentham Science Publishers, Sharjah, 2021
2020
2020A Survey on Hilbert Spaces and Reproducing Kernels
Okutmuştur B.
in: Functional Calculus, Kamal Shah,Baver Okutmuştur, Editor, IntechOpen, London, pp.61-77, 2020
2019
2019A FIRST COURSE IN ANALYSIS - Introductory Calculus
Okutmuştur B.
Nobel Yayın Dağıtım, Ankara, 2019
2019
2019Scalar 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
2019Relativistic 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
2017Finite Volume Method For Hyperbolic Conservation Laws On Manifolds
Okutmuştur B.
LAP LAMBERT Academic Publishing, Saarbrücken, 2017
2010
2010Reproducing Kernel Hilbert Spaces The Basics Bergman Spaces and Interpolation Problems
Okutmuştur B. , Aurelian G.
LAP Lambert Academic Publishing, Saarbrücken, 2010
Supported Projects
2018 - 2020
2018 - 2020Reissner-Nordström Uzay-zaman Geometrisinde Burgers Modellerinin Analizi
Project Supported by Higher Education Institutions
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
OKUTMUŞTUR B. (Executive)
2015 - 2016
2015 - 2016Yapay sinir ağlarının karmaşık dinamik davranışları
Project Supported by Higher Education Institutions
OKUTMUŞTUR B. (Executive)
2013 - 2014
2013 - 2014FLRW uzay zamaninda Rölativist Burgers denklemleri
Project Supported by Higher Education Institutions
OKUTMUŞTUR B. (Executive) , Ceylan T., Uzunca M.
Activities in Scientific Journals
2016 - 2016
2016 - 2016Turkish Journal of Mathematics
Special Issue Editor
Scientific Refereeing
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 2019Middle East Journal of Science
Other Indexed Journal
September 2019
September 2019SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
Journal Indexed in ESCI
July 2019
July 2019HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Journal Indexed in SCI-E
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
April 2019
April 2019Middle East Journal of Science
Other Indexed Journal
April 2019
April 2019JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Journal Indexed in SCI-E
January 2019
January 2019Punjab University Journal of Mathematics
Journal Indexed in ESCI
November 2018
November 2018MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Journal Indexed in SCI-E
November 2018
November 2018Journal Of Mathematical Physics
SCI Journal
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
Edit Congress and Symposium Activities
2018
201816th International Geometry Symposium, Manisa Celal Bayar University.
Attendee
Manisa-Turkey
2018
2018Seventh Conference on Finite Difference Methods: Theory and Applications (FDM: T&A'2018)
Working Group
Burgas-Bulgaria
2017
2017III. International Conference on Symmetries, Differential Equations and Applications (SDEA-III),
Attendee
--Seçiniz---Turkey
2016
2016XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications,
Attendee
Aachen-Germany
2016
20162nd International Conference on Analysis and Its Application
Attendee
--Seçiniz---Turkey
2016
201611. Ankara Matematik Günleri
Attendee
Ankara-Turkey
2015
201510. Ankara Matematik Günler
Attendee
-Turkey
2014
201419th International Conference on APPLIED MATHEMATICS
Attendee
İstanbul-Turkey
2013
201326. Ulusal Matematik Sempozyumu.
Attendee
Diyarbakır-Turkey
2013
2013Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations,
Attendee
Concepcion-Chile
2012
2012First International Conference on Analysis and Applied Mathematics
Attendee
--Seçiniz---Turkey
2012
201214th International Conference on Hyperbolic Problems: Theory, Numerics, Applications.
Attendee
Padua-Italy
2010
2010Congress of CANUM, Congress of numerical analysis,
Attendee
Bordeaux-France
2009
2009Computational Methods and Function Theory (CMFT)
Attendee
--Seçiniz---Turkey
2009
2009Congress of SMAI, 4th Biennial French Applied and Industrial Mathematics,
Attendee
Alpes-Maritimes-France
2007
2007Congress of SMAI, Congress of Applied and Industrial Mathematics
Attendee
--Seçiniz---France
Citations
Total Citations (WOS): 75
h-index (WOS): 5
Jury Memberships
May-2021
May 2021Doctoral Examination
Doctoral Examination - İstanbul Teknik Üniversitesi
December-2019
December 2019Post Graduate
Post Graduate - Orta Doğu Teknik Üniversitesi
February-2018
February 2018Post Graduate
Tez Savunma Jurisi - Hacettepe Üniversitesi
July-2016
July 2016