Uzunca, Murat; Karasözen, Bülent Reduced-order modeling for Ablowitz-Ladik equation. (English) Zbl 07736745 Math. Comput. Simul. 213, 261-273 (2023). MSC: 65M06 65P10 37J05 37M15 76B15 PDFBibTeX XMLCite \textit{M. Uzunca} and \textit{B. Karasözen}, Math. Comput. Simul. 213, 261--273 (2023; Zbl 07736745) Full Text: DOI arXiv
Uzunca, Murat; Karasözen, Bülent; Aydın, Ayhan Global energy preserving model reduction for multi-symplectic PDEs. (English) Zbl 1510.35279 Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023). MSC: 35Q53 35Q55 65M06 65P10 PDFBibTeX XMLCite \textit{M. Uzunca} et al., Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023; Zbl 1510.35279) Full Text: DOI arXiv
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
Yildiz, Süleyman; Uzunca, Murat; Karasözen, Bülent Structure-preserving reduced-order modeling of non-traditional shallow water equation. (English) Zbl 1480.93068 Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 327-345 (2021). MSC: 93B11 93C20 93C15 65M06 PDFBibTeX XMLCite \textit{S. Yildiz} et al., ISNM, Int. Ser. Numer. Math. 171, 327--345 (2021; Zbl 1480.93068) Full Text: DOI arXiv
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman Structure-preserving reduced-order modeling of Korteweg-de Vries equation. (English) Zbl 07428995 Math. Comput. Simul. 188, 193-211 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Uzunca} et al., Math. Comput. Simul. 188, 193--211 (2021; Zbl 07428995) Full Text: DOI arXiv
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman Reduced order modelling of nonlinear cross-diffusion systems. (English) Zbl 1508.37116 Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021). MSC: 37N25 35K57 35K61 65L05 65M06 92D25 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021; Zbl 1508.37116) Full Text: DOI arXiv
Karasözen, Bülent Model order reduction in neuroscience. (English) Zbl 1467.93053 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 237-259 (2021). MSC: 93B11 93A15 92B20 PDFBibTeX XMLCite \textit{B. Karasözen}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 237--259 (2021; Zbl 1467.93053) Full Text: DOI
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Reduced order optimal control of the convective FitzHugh-Nagumo equations. (English) Zbl 1448.49038 Comput. Math. Appl. 79, No. 4, 982-995 (2020). MSC: 49M41 49J20 49M05 49M25 65K10 65M60 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Comput. Math. Appl. 79, No. 4, 982--995 (2020; Zbl 1448.49038) Full Text: DOI arXiv
Akman Yıldız, Tuğba; Uzunca, Murat; Karasözen, Bülent Structure preserving reduced order modeling for gradient systems. (English) Zbl 1429.65223 Appl. Math. Comput. 347, 194-209 (2019). MSC: 65M60 65P10 PDFBibTeX XMLCite \textit{T. Akman Yıldız} et al., Appl. Math. Comput. 347, 194--209 (2019; Zbl 1429.65223) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310 Adv. Comput. Math. 44, No. 6, 1769-1796 (2018). MSC: 65P10 65M60 35Q55 37M15 93A15 PDFBibTeX XMLCite \textit{B. Karasözen} and \textit{M. Uzunca}, Adv. Comput. Math. 44, No. 6, 1769--1796 (2018; Zbl 1404.65310) Full Text: DOI arXiv
Uzunca, Murat; Karasözen, Bülent Energy stable model order reduction for the Allen-Cahn equation. (English) Zbl 1468.76042 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 403-419 (2017). MSC: 76M10 76T99 76M30 65M12 65M15 PDFBibTeX XMLCite \textit{M. Uzunca} and \textit{B. Karasözen}, MS\&A, Model. Simul. Appl. 17, 403--419 (2017; Zbl 1468.76042) Full Text: DOI arXiv
Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. (English) Zbl 1387.35353 Ann. Oper. Res. 258, No. 1, 79-106 (2017). MSC: 35K57 65M60 35B36 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Ann. Oper. Res. 258, No. 1, 79--106 (2017; Zbl 1387.35353) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Model order reduction for pattern formation in Fitzhugh-Nagumo equations. (English) Zbl 1352.65303 Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 369-377 (2016). MSC: 65M20 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Lect. Notes Comput. Sci. Eng. 112, 369--377 (2016; Zbl 1352.65303) Full Text: DOI arXiv