Prof. Dr. Özgür YILDIRIM


Fen-Edebiyat Fakültesi, Matematik Bölümü

Uygulamalı Matematik


WoS Araştırma Alanları: Temel Bilimler (SCI), Matematik, MATEMATİK, UYGULAMALI


Avesis Araştırma Alanları: Matematik, Diferansiyel denklemler, Fark Denklemleri ve Fonksiyonel Denklemler, Fonksiyonel Analiz, Fourier Analizi, İntegral Dönüşümler, İşlemsel Hesaplama, Kısmi diferansiyel eşitlikler, Sayısal Analiz, Temel Bilimler

E-posta: ozgury@yildiz.edu.tr
İş Telefonu: +90 021 238 3436 Dahili: 3
Fax Telefonu: +90 212 383 4314
Web: https://avesis.yildiz.edu.tr/ozgury
Ofis: E-2015
Posta Adresi: Yıldız Teknik Üniversitesi, Davutpaşa Kampüsü, Fen Edebiyat Fakültesi, Matematik Bölümü, E-2015, Esenler, İstanbul

Metrikler

Yayın

52

Atıf (WoS)

114

H-İndeks (WoS)

5

Atıf (Scopus)

165

H-İndeks (Scopus)

7

Atıf (Scholar)

4

H-İndeks (Scholar)

1

Atıf (Diğer Toplam)

1

Proje

6

Tez Danışmanlığı

6

Açık Erişim

15

Duyurular & Dokümanlar

MAT3172, PDE Lecture Notes
Ders Notu
24.02.2025

Dear Students,

I have attached the PDE lecture notes. The password will be shared in the Classroom.

All the best

Tümünü İndir




Danışman Toplantısı
Duyuru
6.01.2025

Merhaba Arkadaşlar,

Hepinize 2024-2025Eğitim Yılı hayırlı olsun. Danışmanınız olarak E-2000 nolu derslikte 06.01.2025 Pazartesi günü saat 10:00 da sizlerle toplantı planladım. Toplantıda dönemin bir değerlendirmesini yapacağız ve sizlerin istek ve şikayetlerini dinleyeceğim. Ayrıca her Çarşamba 13:00-13:30 arası ofisimde olacağım. Görüşmek isteyen arkadaşlar gelebilirler.

Katılımınızı rica ederim.

Başarılar

MAT-1 (MAT1071) SAMPLE EXAM QUESTIONS (Syllabus: http://www.bologna.yildiz.edu.tr/index.php?r=course/exporttopdf&id=2092&aid=25
Ders Notu
4.11.2024
MAT-2 (MAT1072) SAMPLE EXAM QUESTIONS
Ders Notu
2.04.2024

MAT1072  SAMPLE EXAM QUESTIONS and power point presentations


MATHEMATICS-2 (MAT1072 ) SOME NOTES
Ders Notu
2.04.2024

MATHEMATICS-2 (MAT1072 ) SOME NOTES


PDE Project Homework
Ödev
11.06.2023

Dear All,


Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted


Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignment after the deadline will not be accepted.


Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40


 


1.      First-order partial differential equations (Integral Curves)


2.      First-order partial differential equations (Integral Surfaces)


3.      First-order partial differential equations (Vector Fields)


4.      First-order partial differential equations (Lagrange Charpit Method)


5.      Second order PDEs, Separation of variables method


6.      Second Order Linear PDEs (Canonical Forms)


7.      Second Order Linear PDEs (D’Alembert Formula and solution method)


8.      Parabolic (Heat) equation (Uniqueness, Energy method)


9.      Parabolic (Heat) equation (Maximum principle)


10. Parabolic (Heat) equation (Fundamental solution)


11. Laplace’s equations (Fundamental Solutions)


12. Poisson’s equation (Fundamental solution)


13. Poisson’s equation (Green functions)


14. Initial and boundary value problems for wave equation


15. Wave equations (Energy estimates)

PDE Homework
Ödev
18.04.2023

Dear All,


Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted


Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignments after the deadline will not be accepted.


Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40


 


1.      First-order partial differential equations (Integral Curves)


2.      First-order partial differential equations (Integral Surfaces)


3.      First-order partial differential equations (Vector Fields)


4.      First-order partial differential equations (Lagrange Charpit Method)


5.      Second order PDEs, Separation of variables method


6.      Second Order Linear PDEs (Canonical Forms)


7.      Second Order Linear PDEs (D’Alembert Formula and solution method)


8.      Parabolic (Heat) equation (Uniqueness, Energy method)


9.      Parabolic (Heat) equation (Maximum principle)


10. Parabolic (Heat) equation (Fundamental solution)


11. Laplace’s equations (Fundamental Solutions)


12. Poisson’s equation (Fundamental solution)


13. Poisson’s equation (Green functions)


14. Initial and boundary value problems for wave equation


15. Wave equations (Energy estimates)


MAT2171 Differential Equations I Syllabus
Duyuru
6.10.2021

Dear All,

MAT2171 Differential Equations I course syllabus are attached below.

Best regards


Linear Algebra Course Contents MAT1320
Ders Notu
6.02.2020

Linear Algebra Course Contents MAT1320


MAT1071 Mathematics 1 Course Contents (DERS İÇERİĞİ)
Ders Notu
6.02.2020

Mathematics 1 Course Contents MAT1071


Eğitim Bilgileri

2007 - 2011

2007 - 2011

Doktora

Bursa Uludağ Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Türkiye

1996 - 2000

1996 - 2000

Lisans

Uludağ Üniversitesi, Fen Edebiyat Fakültesi, Matematik, Türkiye

Yaptığı Tezler

2011

2011

Doktora

Lokal olmayan hiperbolik problemler için kararlı fark şemaları

Bursa Uludağ Üniversitesi, Fen Bilimleri Enstitüsü, Fen Bilimleri Enstitüsü

Yabancı Diller

C2 Ustalık

C2 Ustalık

İngilizce

Araştırma Alanları

Matematik

Diferansiyel denklemler

Fark Denklemleri ve Fonksiyonel Denklemler

Fonksiyonel Analiz

Fourier Analizi

İntegral Dönüşümler, İşlemsel Hesaplama

Kısmi diferansiyel eşitlikler

Sayısal Analiz

Temel Bilimler

Akademik Unvanlar / Görevler

2018 - Devam Ediyor

2018 - Devam Ediyor

Doç. Dr.

Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü

2012 - 2018

2012 - 2018

Yrd. Doç. Dr.

Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü

SCI, SSCI ve AHCI İndekslerine Giren Dergilerde Yayınlanan Makaleler

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler

2022

2022

On the weak solution of third order of accuracy difference scheme for coupled sine-Gordon equations

YILDIRIM Ö., Batıbay Yumurtacı B.

Sixth International Conference on Analysis and Applied Mathematics, Almaty, Kazakistan, 31 Ekim - 06 Kasım 2022

2022

2022

Mathematical modelling of traffic with regression analysis and machine learning

YILDIRIM Ö., DEMİR S.

Sixth International Conference on Analysis and Applied Mathematics, Almaty, Kazakistan, 31 Ekim - 06 Kasım 2022

2020

2020

On the Asymptotic Formula for the Solution of Nonlocal Boundary Value Perturbation Problems for Hyperbolic Equations

Ashyralyev A., YILDIRIM Ö.

5th International Conference on Analysis and Applied Mathematics (ICAAM), Mersin, Türkiye, 23 - 30 Eylül 2020, cilt.2325 identifier identifier

2019

2019

On unique solvability of nonlinear coupled systems

Yıldırım Ö., Uzun M.

International Conference of Mathematical Sciences (ICMS 2019), İstanbul, Türkiye, 4 - 08 Eylül 2019, ss.1-10, (Özet Bildiri)

2019

2019

Symmetry analysis of the discrete nonlinear boundary value problems for the wave equation

Yıldırım Ö., Çağlak S.

International Conference of Mathematical Sciences (ICMS 2019), İstanbul, Türkiye, 4 - 08 Eylül 2019, ss.1-10, (Özet Bildiri)

2019

2019

On Weak Solvability of Coupled Systems

Yıldırım Ö., Uzun M.

3. International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Türkiye, 3 - 05 Temmuz 2019 Creative Commons License

2019

2019

ON GENERALIZED SOLUTIONS OF NONLINEAR SYSTEMS

Yıldırım Ö., Uzun M.

6th International Congress on Fundamental and Applied Sciences 2019 (ICFAS2019), Tirane, Arnavutluk, 18 - 20 Haziran 2019, ss.146 Creative Commons License

2019

2019

Lie Point Symmetries of Difference Equation

Yıldırım Ö., Çağlak S.

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2019), İstanbul, Türkiye, 3 - 05 Mayıs 2019, ss.1-5, (Özet Bildiri)

2019

2019

A Note on the Numerical Solution of Coupled Klein-Gordon Equations

YILDIRIM Ö., UZUN M.

3rd International Conference of Mathematical Sciences (ICMS), İstanbul, Türkiye, 4 - 08 Eylül 2019, cilt.2183, (Tam Metin Bildiri) Creative Commons License identifier identifier

2018

2018

Invariant difference schemes for sine-Gordon equations, Fourth International Conference on Analysis and Applied Mathematics

Yıldırım Ö., Çağlak S.

Fourth International Conference on Analysis and Applied Mathematics, Lefkoşa, Kıbrıs (Kktc), 6 - 09 Eylül 2018, ss.1-10

2018

2018

NUMERICAL SOLUTION OF HYPERBOLIC EQUATIONS WITH NONLOCAL BVPs

Yıldırım Ö., Uzun M.

5th International Congress on Fundamental and Applied Sciences 2018 (ICFAS2018), Skopje, Makedonya, 18 - 22 Haziran 2018, ss.212 Creative Commons License

2018

2018

On the Numerical Solution of Nonlinear System of Coupled Sine-Gordon Equations

Yıldırım Ö., Uzun M., Altun O.

4th International Conference on Analysis and Applied Mathematics (ICAAM), Mersin, Türkiye, 6 - 09 Eylül 2018, cilt.1997 identifier identifier

2017

2017

Unique Solvability Results on Boundary Value Problems for Semilinear Hyperbolic Equations

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences, Sarajevo, Bosna-Hersek, 21 - 25 Ağustos 2017, ss.78

2017

2017

A Note on the Exact Solution Methods for Nonlinear PDEs

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences 2017 (ICFAS2017), Sarajevo, Bosna-Hersek, 21 Ağustos 2017, ss.78

2017

2017

On the Existence and Uniqueness of Solutions to Nonlinear Wave Equations

Yıldırım Ö., Uzun M.

International Conference on Mathematics and Mathematics Education, Şanlıurfa, Türkiye, 11 - 13 Mayıs 2017, ss.549-550 identifier

2016

2016

On the analytical solution methods for sine Gordon equation

Yıldırım Ö., Uzun M.

ICAAM 2016, Almati, Kazakistan, 7 - 10 Eylül 2016

2016

2016

On the numerical solution of sine Gordon equation

Yıldırım Ö., Uzun M.

ICAAM 2016, Almati, Kazakistan, 7 - 10 Eylül 2016 identifier identifier identifier

2016

2016

On stable difference schemes for multipoint NBVP of the hyperbolic type

Yıldırım Ö., Uzun M.

International Congress on Fundamental and Applied Sciences (ICFAS 2016), İstanbul, Türkiye, 22 Ağustos 2016, ss.122

2016

2016

On Stability of Fourth Order of Accuracy Difference Scheme for Hyperbolic Multipoint NBVP with Neumann Conditions

Yıldırım Ö., Uzun M.

International Conference on Mathematics and Mathematics Education (ICMME 2016), Elazığ, Türkiye, 12 - 15 Mayıs 2016, ss.392-393

2016

2016

On stability of difference schemes for hyperbolic multipoint NBVP with Neumann conditions

YILDIRIM Ö., UZUN M.

3rd International Conference on Analysis and Applied Mathematics (ICAAM), Almaty, Kazakistan, 7 - 10 Eylül 2016, cilt.1759, (Tam Metin Bildiri) identifier identifier

2015

2015

A Note on the Numerical Solution of Multipoint Nonlocal Boundary Value Hyperbolic Problem with Neumann Conditions

Yıldırım Ö., Uzun M.

International Conference on Analysis and Mathematical Modelling (ICAAMM2015), İstanbul, Türkiye, 08 Haziran 2015, ss.200, (Özet Bildiri)

2015

2015

On stability of high order difference schemes for hyperbolic multipoint nonlocal boundary value problem

Yıldırım Ö., Uzun M.

AMS- EMS- SPM International Meeting 2015, Porto, Portekiz, 10 - 13 Haziran 2015, ss.75

2014

2014

On third order of accuracy stable difference scheme for multipoint nbvp of the hyperbolic type

Yıldırım Ö., Uzun M.

Second International Conference on Analysis and Applied Mathematics (ICAAM 2014), Simkent, Kazakistan, 11 - 13 Eylül 2014, ss.90-91

2014

2014

High order of accuracy stable difference schemes for the approximate solution of the multipoint NBVP for the hyperbolic equation

YILDIRIM Ö., UZUN M.

2nd International Conference on Analysis and Applied Mathematics (ICAAM), Shymkent, Kazakistan, 11 - 13 Eylül 2014, cilt.1611, ss.305-309 identifier identifier

2013

2013

ON THE STABILITY OF HIGH ORDER OF ACCURACY DIFFERENCE SCHEMES FOR NONLOCAL BOUNDARY VALUE PROBLEMS WITH SELF ADJOINT OPERATOR

Yıldırım Ö., Ashyralyev A.

Differential Equations. Function Spaces. Approximation Theory, Novosibirsk, Rusya, 18 - 24 Ağustos 2013, ss.434-435

2013

2013

On stability of a fourth order of accuracy difference scheme for nonlocal BVPs with self-adjoint operator

YILDIRIM Ö.

International Conference on Applied analysis and Mathematical Modelling (ICAAMM2013), 01 Haziran 2013

2012

2012

High Order Accurate Difference Schemes for Hyperbolic IBVP

Ashyralyev A., Yildirim O.

5th International Conference Numerical Analysis and Applications (NAA), Lozenetz, Bulgaristan, 15 - 20 Haziran 2012, cilt.8236, ss.174-181 identifier

2012

2012

Stable High Order of Accuracy Difference Schemes for Hyperbolic IBVP

Ashyralyev A., Yıldırım Ö.

International Conference on Applied Analysıs and Algebra (ICAAA 2012), İstanbul, Türkiye, 20 - 24 Haziran 2012, ss.213

2012

2012

High Order of Accuracy Stable Difference Schemes for Numerical Solutions of NBVP for Hyperbolic Equations

Ashyralyev A., Yildirim O.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.84-87 identifier identifier

2011

2011

Second Order of Accuracy Stable Difference Schemes for Hyperbolic Problems Subject to Nonlocal Conditions with Self-Adjoint Operator

Ashyralyev A., Yildirim O.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389 identifier identifier

2009

2009

A Note on Hyperbolic Equations with Nonlocal Boundary and Dirichlet-Neumann Conditions

Ashyralyev A., Yıldırım Ö.

International Conference of Mathematical Sciences (ICMS 2009), İstanbul, Türkiye, 4 - 10 Ağustos 2009, ss.1

2007

2007

A NOTE ON THE NUMERICAL SOLUTIONS OF HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS

Yıldırım Ö., Ashyalyev A.

II. Türk dünyası matematik sempozyumu, (04-07 Temmuz 2007), Sakarya, Türkiye, 4 - 07 Temmuz 2007, ss.1-10

Bilimsel Dergilerdeki Faaliyetler

2017 - 2020

2017 - 2020

Applied and Computational Mathematics

Editörler Kurulu Üyesi

Bilimsel Kuruluşlardaki Üyelikler / Görevler

2014 - Devam Ediyor

2014 - Devam Ediyor

Avrupa Matematik Derneği

Üye

Bilimsel Yayınlarda Hakemlikler

Haziran 2017

Haziran 2017

Thermal Science

SCI Kapsamındaki Dergi

Haziran 2017

Haziran 2017

Numerical Mathematics Theory Methods and Applications

SCI Kapsamındaki Dergi

Mart 2017

Mart 2017

FILOMAT

SCI Kapsamındaki Dergi

Şubat 2017

Şubat 2017

FILOMAT

SCI Kapsamındaki Dergi

Kasım 2016

Kasım 2016

Numerical Functional Analysis and Optimization

SCI Kapsamındaki Dergi

Ağustos 2016

Ağustos 2016

Springer plus

SCI Kapsamındaki Dergi

Temmuz 2014

Temmuz 2014

Applied Mathematics & Information Sciences

SCI Kapsamındaki Dergi

Etkinlik Organizasyonlarındaki Görevler

Mayıs 2019

Mayıs 2019

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2018)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
İstanbul, Türkiye

Mayıs 2019

Mayıs 2019

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2019)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
İstanbul, Türkiye

Eylül 2018

Eylül 2018

International Conference on Analysis and Applied Mathematics (ICAAM 2018)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
Lefkoşa, Kıbrıs (Kktc)

Eylül 2016

Eylül 2016

International Conference on Analysis and Applied Mathematics (ICAAM 2016)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
Almati, Kazakistan

Ağustos 2016

Ağustos 2016

International Congress on Fundamental and Applied Sciences (ICFAS 2016)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
İstanbul, Türkiye

Haziran 2015

Haziran 2015

INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELING (ICAAMM 2015)

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
İstanbul, Türkiye

Eylül 2014

Eylül 2014

ICAAM 2014 Second International Conference on Analysis and Applied Mathematics

Bilimsel Kongre / Sempozyum Organizasyonu

Yıldırım Ö.
Simkent, Kazakistan


Atıflar

Toplam Atıf Sayısı (WOS): 114

h-indeksi (WOS): 5