[1] Koc, B., Rubino, S., Chacón Rebollo, T., & Iliescu, T. (2025). Residual-based data-driven variational multiscale reduced order models for parameter-dependent problems. Computational and Applied Mathematics, 44(6), 1–28.
[2] Koc, B., Rubino, S., Chacón Rebollo, T., & Iliescu, T. (2025). Residual data-driven variational multiscale reduced order models for parameter-dependent problems. In MATHMOD Short Contribution Volume 2025 : 11th Vienna International Conferenceon Mathematical Modelling (pp. 11–12). https ://doi.org/10.34726/9005.
[3] Koc, B., Chacón Rebollo, T., & Rubino, S. (2023). Uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the Burgers equation. Journal of Scientific Computing, 95(2), 43.
[4] Koc, B., Mou, C., Liu, H., Wang, Z., Rozza, G., & Iliescu, T. (2022). Verifiability of the data-driven variational multiscale reduced order model. Journal of Scientific Computing, 93(2), 1-26.
[5] Koc. B., Rubino, S., Schneier, M., Singler, J. R., & Iliescu, T. (2021). On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. SIAM Journal on Numerical Analysis, 59(4), 2163-2196.
[6] Mou, C., Koc, B., San, O., Rebholz, L.G., & Iliescu, T., 2021. Data-driven variational multiscale reduced order models. Computer Methods in Applied Mechanics and Engineering, 373, p.113470.
[7] LC Berselli, T Iliescu, B Koc, & R Lewandowski. Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results. Mathematics in Engineering 2(1), 1-25, 2020.
[8] Koc, B., Mohebujjaman, M., Mou, C., and Iliescu, T. (2019). Commutation error in reduced order modeling of fluid flows. Advances in Computational Mathematics, 45(5-6):2587–2621.
FURTHER PUBLICATIONS: THESES
Koc, B. (2021). Numerical analysis for data-driven reduced order model closures (Ph.D's thesis). hdl.handle.net/10919/103202.
Koc, B. (2018). Commutation Error in Reduced Order Modeling (Master's thesis). http://hdl.handle.net/10919/87537.
PREPRINTS
[1] Kaya, F., Koc, B., Aygun, A., Ata, O., & Karakus, A. (2026). Hybrid ROM-PINN Framework for Closure Modeling in Convection-Dominated Systems. Under revision, Journal of Scientific Computing.