Edriss S. Titi

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 25

Top Topics

Dimensionality Reduction

Noisy Observations

Data Assimilation

Top Venues

J. Nonlinear Sci.

SIAM J. Appl. Dyn. Syst.

SIAM J. Numer. Anal.

Publications

Elizabeth Carlson, Adam Larios, Edriss S. Titi
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier-Stokes Equation Paradigm. J. Nonlinear Sci. 34 (2) (2024)
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations. J. Nonlinear Sci. 34 (4) (2024)
Mohamad Abed El Rahman Hammoud, Naila Raboudi, Edriss S. Titi, Omar M. Knio, Ibrahim Hoteit
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning. CoRR (2024)
Eleni D. Koronaki, Nikolaos Evangelou, Cristina P. Martin-Linares, Edriss S. Titi, Ioannis G. Kevrekidis
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era. J. Comput. Phys. 506 (2024)
Sabine Hittmeir, Rupert Klein, Jinkai Li, Edriss S. Titi
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes. J. Nonlinear Sci. 33 (4) (2023)
Mohamad Abed El Rahman Hammoud, Edriss S. Titi, Ibrahim Hoteit, Omar M. Knio
Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm. CoRR (2023)
Richard Nickl, Edriss S. Titi
On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equations. CoRR (2023)
Eleni D. Koronaki, Nikolaos Evangelou, Cristina P. Martin-Linares, Edriss S. Titi, Ioannis G. Kevrekidis
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era. CoRR (2023)
Ori Saporta-Katz, Edriss S. Titi, Hezi Gildor, Vered Rom-Kedar
A Kinematic-Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics. J. Nonlinear Sci. 33 (1) (2023)
Sabine Hittmeir, Rupert Klein, Jinkai Li, Edriss S. Titi
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes. J. Nonlinear Sci. 33 (5) (2023)
Mohamad Abed El Rahman Hammoud, Olivier LeMaitre, Edriss S. Titi, Ibrahim Hoteit, Omar M. Knio
Continuous and Discrete Data Assimilation with Noisy Observations for the Rayleigh-Benard Convection: A Computational Study. CoRR (2022)
Srinivas Desamsetti, Hari Prasad Dasari, Sabique Langodan, Yesubabu Viswanadhapalli, Raju Attada, Thang M. Luong, Omar M. Knio, Edriss S. Titi, Ibrahim Hoteit
Enhanced Simulation of the Indian Summer Monsoon Rainfall Using Regional Climate Modeling and Continuous Data Assimilation. CoRR (2022)
Xin Liu, Marita Thomas, Edriss S. Titi
Well-Posedness of Hibler's Dynamical Sea-Ice Model. J. Nonlinear Sci. 32 (4) (2022)
Bosco García-Archilla, Julia Novo, Edriss S. Titi
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Claude Bardos, Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann
On the Extension of Onsager's Conjecture for General Conservation Laws. J. Nonlinear Sci. 29 (2) (2019)
Xin Liu, Edriss S. Titi
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities. SIAM J. Math. Anal. 51 (3) (2019)
Emine Celik, Eric Olson, Edriss S. Titi
Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm. SIAM J. Appl. Dyn. Syst. 18 (2) (2019)
Aseel Farhat, Hans Johnston, Michael S. Jolly, Edriss S. Titi
Assimilation of Nearly Turbulent Rayleigh-Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study. J. Sci. Comput. 77 (3) (2018)
Cecilia F. Mondaini, Edriss S. Titi
Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm. SIAM J. Numer. Anal. 56 (1) (2018)
Ciprian Foias, Michael S. Jolly, Dan Lithio, Edriss S. Titi
One-Dimensional Parametric Determining form for the Two-Dimensional Navier-Stokes Equations. J. Nonlinear Sci. 27 (5) (2017)
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone. J. Nonlinear Sci. 27 (3) (2017)
Jinkai Li, Edriss S. Titi
Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data. SIAM J. Math. Anal. 49 (1) (2017)
Débora A. F. Albanez, Helena J. Nussenzveig Lopes, Edriss S. Titi
Continuous data assimilation for the three-dimensional Navier-Stokes-α model. Asymptot. Anal. 97 (1-2) (2016)
Ciprian Foias, Cecilia F. Mondaini, Edriss S. Titi
A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier-Stokes Equations and Their Statistics. SIAM J. Appl. Dyn. Syst. 15 (4) (2016)
Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi
Inertial Manifolds for Certain Subgrid-Scale α-Models of Turbulence. SIAM J. Appl. Dyn. Syst. 14 (3) (2015)
Abderrahim Azouani, Eric Olson, Edriss S. Titi
Continuous Data Assimilation Using General Interpolant Observables. J. Nonlinear Sci. 24 (2) (2014)
Animikh Biswas, Michael S. Jolly, Vincent Martinez, Edriss S. Titi
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach. J. Nonlinear Sci. 24 (3) (2014)
Claude Bardos, Milton C. Lopes Filho, Dongjuan Niu, Helena J. Nussenzveig Lopes, Edriss S. Titi
Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking. SIAM J. Math. Anal. 45 (3) (2013)
John D. Gibbon, Edriss S. Titi
The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up? J. Nonlinear Sci. 23 (6) (2013)
Chongsheng Cao, Aseel Farhat, Edriss S. Titi
Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Commun. Inf. Syst. 13 (1) (2013)
Zvi Artstein, C. William Gear, Ioannis G. Kevrekidis, Marshall Slemrod, Edriss S. Titi
Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion. SIAM J. Numer. Anal. 49 (5) (2011)
Varga K. Kalantarov, Boris Levant, Edriss S. Titi
Gevrey Regularity for the Attractor of the 3D Navier-Stokes-Voight Equations. J. Nonlinear Sci. 19 (2) (2009)
Boris Ettinger, Edriss S. Titi
Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching. SIAM J. Math. Anal. 41 (1) (2009)
Zvi Artstein, Jasmine Linshiz, Edriss S. Titi
Young Measure Approach to Computing Slowly Advancing Fast Oscillations. Multiscale Model. Simul. 6 (4) (2008)
Alexei A. Ilyin, Edriss S. Titi
Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations. J. Nonlinear Sci. 16 (3) (2006)
Yeojin Chung, Edriss S. Titi
Inertial Manifolds and Gevrey Regularity for the Moore-Greitzer Model of an Axial-Flow Compressor. J. Nonlinear Sci. 13 (1) (2003)
Len G. Margolin, Edriss S. Titi, Shannon Wynne
The Postprocessing Galerkin and Nonlinear Galerkin Methods - A Truncation Analysis Point of View. SIAM J. Numer. Anal. 41 (2) (2003)
Julia Novo, Edriss S. Titi, Shannon Wynne
Efficient methods using high accuracy approximate inertial manifolds. Numerische Mathematik 87 (3) (2001)
Bosco García-Archilla, Edriss S. Titi
Postprocessing the Galerkin Method: The Finite-Element Case. SIAM J. Numer. Anal. 37 (2) (1999)
Bosco García-Archilla, Julia Novo, Edriss S. Titi
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. Math. Comput. 68 (227) (1999)
Bernardo Cockburn, Don A. Jones, Edriss S. Titi
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems. Math. Comput. 66 (219) (1997)
Nadine Aubry, Wen-Yu Lian, Edriss S. Titi
Preserving Symmetries in the Proper Orthogonal Decomposition. SIAM J. Sci. Comput. 14 (2) (1993)