A Domain Decomposition Approach to POD. - Christopher A. Beattie; Jeff Borggaard; Serkan Gugercin; Traian Iliescu (CDC, 2006)

Approximate deconvolution boundary conditions for large eddy simulation. - Jeff Borggaard; Traian Iliescu (Appl. Math. Lett., 2006)

A Two-Level Discretization Method for the Smagorinsky Model. - Jeff Borggaard; Traian Iliescu; Hyesuk Lee; John Paul Roop; Hyunjin Son (Multiscale Model. Simul., 2008)

A Bounded Artificial Viscosity Large Eddy Simulation Model. - Jeff Borggaard; Traian Iliescu; John Paul Roop (SIAM J. Numer. Anal., 2008)

Bridging the Boussinesq and primitive equations through spatio-temporal filtering. - Jinqiao Duan; Paul F. Fischer; Traian Iliescu; Tamay M. Özgökmen (Appl. Math. Lett., 2010)

Two-level discretizations of nonlinear closure models for proper orthogonal decomposition. - Zhu Wang 003; Imran Akhtar; Jeff Borggaard; Traian Iliescu (J. Comput. Phys., 2011)

Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System. - Luigi C. Berselli; Paul F. Fischer; Traian Iliescu; Tamay M. Özgökmen (J. Sci. Comput., 2011)

Artificial viscosity proper orthogonal decomposition. - Jeff Borggaard; Traian Iliescu; Zhu Wang 003 (Math. Comput. Model., 2011)

A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean. - Erich L. Foster; Traian Iliescu; David R. Wells (Comput. Math. Appl., 2013)

Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations. - Traian Iliescu; Zhu Wang 003 (Math. Comput., 2013)

A numerical investigation of velocity-pressure reduced order models for incompressible flows. - Alfonso Caiazzo; Traian Iliescu; Volker John; Swetlana Schyschlowa (J. Comput. Phys., 2014)

Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition? - Traian Iliescu; Zhu Wang 003 (SIAM J. Sci. Comput., 2014)

A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. - Omer San; Traian Iliescu (Adv. Comput. Math., 2015)

Approximate partitioned method of snapshots for POD. - Zhu Wang 003; Brian McBee; Traian Iliescu (J. Comput. Appl. Math., 2016)

Energy balance and mass conservation in reduced order models of fluid flows. - Muhammad Mohebujjaman; Leo G. Rebholz; Xuping Xie; Traian Iliescu (J. Comput. Phys., 2017)

Numerical analysis of the Leray reduced order model. - Xuping Xie; David R. Wells; Zhu Wang 003; Traian Iliescu (J. Comput. Appl. Math., 2018)

Data-Driven Filtered Reduced Order Modeling of Fluid Flows. - Xuping Xie; Muhammad Mohebujjaman; Leo G. Rebholz; Traian Iliescu (SIAM J. Sci. Comput., 2018)

Commutation error in reduced order modeling of fluid flows. - Birgul Koc; Muhammad Mohebujjaman; Changhong Mou; Traian Iliescu (Adv. Comput. Math., 2019)

A non-intrusive reduced order modeling framework for quasi-geostrophic turbulence. - Sk. Mashfiqur Rahman; Suraj Pawar; Omer San; Adil Rasheed; Traian Iliescu (CoRR, 2019)

Data-Driven Correction Reduced Order Models for the Quasi-Geostrophic Equations: A Numerical Investigation. - Changhong Mou; Honghu Liu; David R. Wells; Traian Iliescu (CoRR, 2019)

An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations. - Max D. Gunzburger; Traian Iliescu; Muhammad Mohebujjaman; Michael Schneier (SIAM/ASA J. Uncertain. Quantification, 2019)

Data-Driven Variational Multiscale Reduced Order Models. - Changhong Mou; Birgul Koc; Omer San; Traian Iliescu (CoRR, 2020)

Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey. - Changhong Mou; Zhu Wang 003; David R. Wells; Xuping Xie; Traian Iliescu (CoRR, 2020)

An Artificial Compression Reduced Order Model. - Victor P. DeCaria; Traian Iliescu; William J. Layton; Michael McLaughlin; Michael Schneier (SIAM J. Numer. Anal., 2020)

A Numerical Investigation of the Lengthscale in the Mixing-Length Reduced Order Model of the Turbulent Channel Flow. - Changhong Mou; Elia Merzari; Omer San; Traian Iliescu (CoRR, 2021)

Consistency of the Full and Reduced Order Models for Evolve-Filter-Relax Regularization of Convection-Dominated, Marginally-Resolved Flows. - Maria Strazzullo; Michele Girfoglio; Francesco Ballarin; Traian Iliescu; Gianluigi Rozza (CoRR, 2021)

Nonlinear proper orthogonal decomposition for convection-dominated flows. - Shady E. Ahmed; Omer San; Adil Rasheed; Traian Iliescu (CoRR, 2021)

Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows. - Sean Ingimarson; Leo G. Rebholz; Traian Iliescu (CoRR, 2021)

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. - Birgul Koc; Samuele Rubino; Michael Schneier; John R. Singler; Traian Iliescu (SIAM J. Numer. Anal., 2021)

A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates. - Andrey A. Popov; Changhong Mou; Adrian Sandu; Traian Iliescu (SIAM J. Sci. Comput., 2021)

Reduced Order Model Closures: A Brief Tutorial. - William Snyder; Changhong Mou; Honghu Liu; Omer San; Raffaella De Vita; Traian Iliescu (CoRR, 2022)

Stochastic Data-Driven Variational Multiscale Reduced Order Models. - Fei Lu 016; Changhong Mou; Honghu Liu; Traian Iliescu (CoRR, 2022)

An Energy-Based Lengthscale for Reduced Order Models of Turbulent Flows. - Changhong Mou; Elia Merzari; Omer San; Traian Iliescu (CoRR, 2022)

A Two-Level Galerkin Reduced Order Model for the Steady Navier-Stokes Equations. - Dylan Park; Changhong Mou; Honghu Liu; Adrian Sandu; Traian Iliescu (CoRR, 2022)

Verifiability of the Data-Driven Variational Multiscale Reduced Order Model. - Birgul Koc; Changhong Mou; Honghu Liu; Zhu Wang 003; Gianluigi Rozza; Traian Iliescu (J. Sci. Comput., 2022)

Residual-based stabilized reduced-order models of the transient convection-diffusion-reaction equation obtained through discrete and continuous projection. - Eric J. Parish; Masayuki Yano; Irina Tezaur; Traian Iliescu (CoRR, 2023)

New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime. - Maria Strazzullo; Francesco Ballarin; Traian Iliescu; Claudio Canuto (CoRR, 2023)

Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows. - Anna Sanfilippo; Ian Moore; Francesco Ballarin; Traian Iliescu (CoRR, 2023)

Pressure data-driven variational multiscale reduced order models. - Anna Ivagnes; Giovanni Stabile; Andrea Mola; Traian Iliescu; Gianluigi Rozza (J. Comput. Phys., 2023)

Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling. - Shady E. Ahmed; Omer San; Adil Rasheed; Traian Iliescu; Alessandro Veneziani (SIAM J. Sci. Comput., 2023)

Hybrid data-driven closure strategies for reduced order modeling. - Anna Ivagnes; Giovanni Stabile; Andrea Mola; Traian Iliescu; Gianluigi Rozza (Appl. Math. Comput., 2023)

An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. - Changhong Mou; Nan Chen 004; Traian Iliescu (J. Comput. Phys., 2023)

A numerical comparison of simplified Galerkin and machine learning reduced order models for vaginal deformations. - William Snyder; Alex Santiago Anaya; Justin Krometis; Traian Iliescu; Raffaella De Vita (Comput. Math. Appl., 2023)

Bridging Large Eddy Simulation and Reduced Order Modeling of Convection-Dominated Flows through Spatial Filtering: Review and Perspectives. - Annalisa Quaini; Omer San; Alessandro Veneziani; Traian Iliescu (CoRR, 2024)

A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey. - Francesco Ballarin; Traian Iliescu (CoRR, 2024)

A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model. - Ian Moore; Anna Sanfilippo; Francesco Ballarin; Traian Iliescu (CoRR, 2024)

A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model. - Jorge Reyes; Ping-Hsuan Tsai; Julia Novo; Traian Iliescu (CoRR, 2024)

Variational Multiscale Evolve and Filter Strategies for Convection-Dominated Flows. - Maria Strazzullo; Francesco Ballarin; Traian Iliescu; Tomás Chacón Rebollo (CoRR, 2024)

A time-relaxation reduced order model for the turbulent channel flow. - Ping-Hsuan Tsai; Paul Fischer; Traian Iliescu (J. Comput. Phys., 2025)

Data-driven Optimization for the Evolve-Filter-Relax regularization of convection-dominated flows. - Anna Ivagnes; Maria Strazzullo; Michele Girfoglio; Traian Iliescu; Gianluigi Rozza (CoRR, 2025)

Symbolic Regression of Data-Driven Reduced Order Model Closures for Under-Resolved, Convection-Dominated Flows. - Simone Manti; Ping-Hsuan Tsai; Alessandro Lucantonio; Traian Iliescu (CoRR, 2025)

Verifiability and Limit Consistency of Eddy Viscosity Large Eddy Simulation Reduced Order Models. - Jorge Reyes; Ping-Hsuan Tsai; Ian Moore; Honghu Liu; Traian Iliescu (CoRR, 2025)

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor. - Youngsoo Choi; Siu Wun Cheung; Youngkyu Kim; Ping-Hsuan Tsai; Alejandro N. Diaz; Ivan Zanardi; Seung Whan Chung; Dylan Matthew Copeland; Coleman Kendrick; William Anderson; Traian Iliescu; Matthias Heinkenschloss (CoRR, 2025)

Residual-based data-driven variational multiscale reduced order models for parameter-dependent problems. - Birgul Koc; Samuele Rubino; Tomás Chacón Rebollo; Traian Iliescu (Comput. Appl. Math., 2025)