Publications

[1] 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.

[2] 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.

[3] 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.

[4] 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.

[5] Koc, B. (2021). Numerical analysis for data-driven reduced order model closures (Ph.D's thesis). hdl.handle.net/10919/103202

[6] Koc, B. (2018). Commutation Error in Reduced Order Modeling (Master's thesis). http://hdl.handle.net/10919/87537.

PrePrints

[1] Koc, B., Rebollo, T. C., & Iliescu, T. (2022). Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems. arXiv preprint arXiv:2208.00059. https://arxiv.org/abs/2208.00059.

[2] Koc, B., Rebollo, T. C., & Rubino, S. (2022). Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation. arXiv preprint arXiv:2206.03589. https://arxiv.org/abs/2206.03589.

[3] Koc, B., Mou, C., Liu, H., Wang, Z., Rozza, G., & Iliescu, T. (2021). Verifiability of the data-driven variational multiscale reduced order model. arXiv preprint arXiv: 2108.04982. https://arxiv.org/abs/2108.04982.