Traian Iliescu
- Variational Multiscale Proper Orthogonal Decomposition: Navier-Stokes Equations
2012/10/28 by Traian Iliescu, Iliescu, Traian, Zhu Wang +1 · 1 citation
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
- Approximate Deconvolution Reduced Order Modeling
2015/10/09 by Xuping Xie, Xie, Xuping, David Wells +5 · 1 citation
Decision Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics #Probabilistic and Robust Engineering Design
- Defining Foundation Models for Computational Science: A Call for Clarity and Rigor
2025/05/28 by Youngsoo Choi, Siu Wun Cheung, Choi, Youngsoo +21 · 7 citations
Decision Sciences · #Scientific Computing and Data Management
- Nonintrusive Stabilization of Reduced Order Models for Uncertainty\n Quantification of Time-Dependent Convection-Dominated Flows
2018/10/19 by Max Gunzburger, Gunzburger, M., Traian Iliescu +8 · 1 citation
Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #65M15 #65M60 #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Fractional Differential Equations Solutions #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
- An Energy-Based Lengthscale for Reduced Order Models of Turbulent Flows
2022/11/08 by Changhong Mou, Mou, Changhong, Elia Merzari +5 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Fractional Differential Equations Solutions #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
- On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal
2020/10/07 by Birgul Koc, Samuele Rubino, Koc, Birgul +7 · 1 citation
Decision Sciences · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
- Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling
2022/05/25 by Shady E. Ahmed, Ahmed, Shady E., Omer San +7 · 1 citation
Engineering · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Pattern Formation and Solitons (nlin.PS)
- Data-driven Optimization for the Evolve-Filter-Relax regularization of convection-dominated flows
2025/01/07 by Anna Ivagnes, Maria Strazzullo, Ivagnes, Anna +7 · 2 citations
Physics and Astronomy · Engineering · Earth and Planetary Sciences · #Model Reduction and Neural Networks #Advanced Numerical Methods in Computational Mathematics #Meteorological Phenomena and Simulations