Vortical Flow Outside a Sphere and Sound Generation. - Lu Ting; Omar M. Knio (SIAM J. Appl. Math., 1997)

Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes. - Bert J. Debusschere; Habib N. Najm; Philippe P. Pébay; Omar M. Knio; Roger G. Ghanem; Olivier P. Le Maître (SIAM J. Sci. Comput., 2004)

Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions. - Olivier P. Le Maître; M. T. Reagan; Bert J. Debusschere; Habib N. Najm; Roger G. Ghanem; Omar M. Knio (SIAM J. Sci. Comput., 2004)

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport. - Habib N. Najm; Omar M. Knio (J. Sci. Comput., 2005)

A stochastic particle-mesh scheme for uncertainty propagation in vortical flows. - Olivier P. Le Maître; Omar M. Knio (J. Comput. Phys., 2007)

Multi-Resolution-Analysis Scheme for Uncertainty Quantification in Chemical Systems. - Olivier P. Le Maître; Habib N. Najm; Philippe P. Pébay; Roger G. Ghanem; Omar M. Knio (SIAM J. Sci. Comput., 2007)

Many Task Computing for modeling the fate of oil discharged from the Deep Water Horizon well blowout. - Ashwanth Srinivasan; Matthieu Le Hénaff; Villy H. Kourafalou; William C. Thacker; Nicholas F. Tsinoremas; Judith Helgers; Claire B. Paris; HeeSook Kang; Mohamed Iskandarani; Joel P. Zysman; Omar M. Knio (MTAGS@SC, 2010)

Bayesian Inference of Atomic Diffusivity in a Binary Ni/Al System Based on Molecular Dynamics. - Francesco Rizzi; Maher Salloum; Youssef M. Marzouk; R.-G. Xu; Michael L. Falk; T. P. Weihs; G. Fritz; Omar M. Knio (Multiscale Model. Simul., 2011)

Multiscale Stochastic Preconditioners in Non-intrusive Spectral Projection. - Alen Alexanderian; Olivier P. Le Maître; Habib N. Najm; Mohamed Iskandarani; Omar M. Knio (J. Sci. Comput., 2012)

Uncertainty Quantification in MD Simulations. Part I: Forward Propagation. - Francesco Rizzi; Habib N. Najm; Bert J. Debusschere; Khachik Sargsyan; Maher Salloum; Helgi Adalsteinsson; Omar M. Knio (Multiscale Model. Simul., 2012)

Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters. - Francesco Rizzi; Habib N. Najm; Bert J. Debusschere; Khachik Sargsyan; Maher Salloum; Helgi Adalsteinsson; Omar M. Knio (Multiscale Model. Simul., 2012)

Preconditioned Bayesian Regression for Stochastic Chemical Kinetics. - Alen Alexanderian; Francesco Rizzi; Muruhan Rathinam; Olivier P. Le Maître; Omar M. Knio (J. Sci. Comput., 2014)

Probability Maps for the Visualization of Assimilation Ensemble Flow Data. - Thomas Höllt; Markus Hadwiger; Omar M. Knio; Ibrahim Hoteit (EnvirVis@EuroVis, 2015)

PC analysis of stochastic differential equations driven by Wiener noise. - Olivier P. Le Maître; Omar M. Knio (Reliab. Eng. Syst. Saf., 2015)

Fault Resilient Domain Decomposition Preconditioner for PDEs. - Khachik Sargsyan; Francesco Rizzi; Paul Mycek; Cosmin Safta; Karla Morris; Habib N. Najm; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (SIAM J. Sci. Comput., 2015)

ULFM-MPI Implementation of a Resilient Task-Based Partial Differential Equations Preconditioner. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Bert J. Debusschere; Olivier P. Le Maître; Omar M. Knio (FTXS@HPDC, 2016)

Performance Scaling Variability and Energy Analysis for a Resilient ULFM-based PDE Solver. - Karla Morris; Francesco Rizzi; Brendan Cook; Paul Mycek; Olivier P. Le Maître; Omar M. Knio; Khachik Sargsyan; Kathryn Dahlgren; Bert J. Debusschere (ScalA@SC, 2016)

Scalability of Partial Differential Equations Preconditioner Resilient to Soft and Hard Faults. - Karla Morris; Francesco Rizzi; Khachik Sargsyan; Kathryn Dahlgren; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (ISC, 2016)

Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification. - Justin Winokur; Daesang Kim; Fabrizio Bisetti; Olivier P. Le Maître; Omar M. Knio (J. Sci. Comput., 2016)

Particle Simulation of Fractional Diffusion Equations. - S. Allouch; M. Lucchesi; Olivier P. Le Maître; K. A. Mustapha 001; Omar M. Knio (CoRR, 2017)

A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs. - Paul Mycek; Andres Contreras; Olivier P. Le Maître; Khachik Sargsyan; Francesco Rizzi; Karla Morris; Cosmin Safta; Bert J. Debusschere; Omar M. Knio (Comput. Phys. Commun., 2017)

Nonintrusive Polynomial Chaos Expansions for Sensitivity Analysis in Stochastic Differential Equations. - M. Navarro Jimenez; Olivier P. Le Maître; Omar M. Knio (SIAM/ASA J. Uncertain. Quantification, 2017)

Discrete A Priori Bounds for the Detection of Corrupted PDE Solutions in Exascale Computations. - Paul Mycek; Francesco Rizzi; Olivier P. Le Maître; Khachik Sargsyan; Karla Morris; Cosmin Safta; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2017)

Risk-averse formulations and methods for a virtual power plant. - Ricardo M. Lima; Antonio J. Conejo; Sabique Langodan; Ibrahim Hoteit; Omar M. Knio (Comput. Oper. Res., 2018)

Optimal projection of observations in a Bayesian setting. - Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (Comput. Stat. Data Anal., 2018)

Partial differential equations preconditioner resilient to soft and hard faults. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (Int. J. High Perform. Comput. Appl., 2018)

Exploring the interplay of resilience and energy consumption for a task-based partial differential equations preconditioner. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (Parallel Comput., 2018)

Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen-Loève Representations. - Andres Contreras; Paul Mycek; Olivier P. Le Maître; Francesco Rizzi; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2018)

Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions. - Andres Contreras; Paul Mycek; Olivier P. Le Maître; Francesco Rizzi; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2018)

The State of the Art in Visual Analysis Approaches for Ocean and Atmospheric Datasets. - Shehzad Afzal; Mohamad Mazen Hittawe; Sohaib Ghani; Tahira Jamil; Omar M. Knio; Markus Hadwiger; Kevin I.-J. Ho (Comput. Graph. Forum, 2019)

Trajectory planning for autonomous underwater vehicles in the presence of obstacles and a nonlinear flow field using mixed integer nonlinear programming. - Tong Wang 013; Ricardo M. Lima; Loïc Giraldi; Omar M. Knio (Comput. Oper. Res., 2019)

Green's function of the screened Poisson's equation on the sphere. - Ramy Tanios; Samah El Mohtar; Omar M. Knio; Issam Lakkis (CoRR, 2019)

Abnormal events detection using deep neural networks: application to extreme sea surface temperature detection in the Red Sea. - Mohamad Mazen Hittawe; Shehzad Afzal; Tahira Jamil; Hichem Snoussi; Ibrahim Hoteit; Omar M. Knio (J. Electronic Imaging, 2019)

Regularity theory for time-fractional advection-diffusion-reaction equations. - William McLean; Kassem Mustapha 001; Raed Ali; Omar M. Knio (Comput. Math. Appl., 2020)

A Bayesian Structural Time Series Approach for Predicting Red Sea Temperatures. - Nabila Bounceur; Ibrahim Hoteit; Omar M. Knio (IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens., 2020)

Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961]. - William McLean; Kassem Mustapha 001; Raed Ali; Omar M. Knio (Comput. Math. Appl., 2021)

A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. - Kassem Mustapha 001; Omar M. Knio; Olivier P. Le Maître (CoRR, 2021)

Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies. - Hasnaa Alzahrani; George Turkiyyah; Omar M. Knio; David E. Keyes (CoRR, 2021)

Sample average approximation for risk-averse problems: A virtual power plant scheduling application. - Ricardo M. Lima; Antonio J. Conejo; Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (EURO J. Comput. Optim., 2021)

Efficient SST prediction in the Red Sea using hybrid deep learning-based approach. - Mohamad Mazen Hittawe; Sabique Langodan; Ouadi Beya; Ibrahim Hoteit; Omar M. Knio (INDIN, 2022)

H2Opus: a distributed-memory multi-GPU software package for non-local operators. - Stefano Zampini; Wajih Halim Boukaram; George Turkiyyah; Omar M. Knio; David E. Keyes (Adv. Comput. Math., 2022)

Enhanced Simulation of the Indian Summer Monsoon Rainfall Using Regional Climate Modeling and Continuous Data Assimilation. - Srinivas Desamsetti; Hari Prasad Dasari; Sabique Langodan; Yesubabu Viswanadhapalli; Raju Attada; Thang M. Luong; Omar M. Knio; Edriss S. Titi; Ibrahim Hoteit (CoRR, 2022)

Continuous and Discrete Data Assimilation with Noisy Observations for the Rayleigh-Benard Convection: A Computational Study. - Mohamad Abed El Rahman Hammoud; Olivier LeMaitre; Edriss S. Titi; Ibrahim Hoteit; Omar M. Knio (CoRR, 2022)

Risk-Averse Stochastic Programming vs. Adaptive Robust Optimization: A Virtual Power Plant Application. - Ricardo M. Lima; Antonio J. Conejo; Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (INFORMS J. Comput., 2022)

Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm. - Mohamad Abed El Rahman Hammoud; Edriss S. Titi; Ibrahim Hoteit; Omar M. Knio (CoRR, 2023)

Semantic Segmentation of Mesoscale Eddies in the Arabian Sea: A Deep Learning Approach. - Mohamad Abed El Rahman Hammoud; Peng Zhan; Omar Hakla; Omar M. Knio; Ibrahim Hoteit (Remote. Sens., 2023)

Visualization and Visual Analytics Approaches for Image and Video Datasets: A Survey. - Shehzad Afzal; Sohaib Ghani; Mohamad Mazen Hittawe; Sheikh Faisal Rashid; Omar M. Knio; Markus Hadwiger; Ibrahim Hoteit (ACM Trans. Interact. Intell. Syst., 2023)

Finite Element Discretizations for Variable-Order Fractional Diffusion Problems. - Wenyu Lei; George Turkiyyah; Omar M. Knio (J. Sci. Comput., 2023)

Stacked Transformer Models for Enhanced Wind Speed Prediction in the Red Sea. - Mohamad Mazen Hittawe; Fouzi Harrou; Ying Sun 002; Omar M. Knio (INDIN, 2024)

Time-series weather prediction in the Red sea using ensemble transformers. - Mohamad Mazen Hittawe; Fouzi Harrou; Mohammed Amine Togou; Ying Sun 002; Omar M. Knio (Appl. Soft Comput., 2024)

Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning. - Mohamad Abed El Rahman Hammoud; Naila Raboudi; Edriss S. Titi; Omar M. Knio; Ibrahim Hoteit (CoRR, 2024)

An effective hybrid decomposition approach to solve the network-constrained stochastic unit commitment problem in large-scale power systems. - Ricardo M. Lima; Gonzalo E. Constante-Flores; Antonio J. Conejo; Omar M. Knio (EURO J. Comput. Optim., 2024)