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2020 – today
- 2024
[j36]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: 112910 (2024)- [j35]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): 37 (2024) - [j34]Daniel W. Boutros, Simon Markfelder, Edriss S. Titi:
Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations. J. Nonlinear Sci. 34(4): 68 (2024) - [i6]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 abs/2401.00916 (2024) - 2023
- [j33]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): 1 (2023) - [j32]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): 65 (2023) - [j31]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): 98 (2023) - [i5]Richard Nickl, Edriss S. Titi:
On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equations. CoRR abs/2307.08136 (2023) - [i4]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 abs/2310.11945 (2023) - [i3]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 abs/2310.15816 (2023) - 2022
- [j30]Xin Liu, Marita Thomas, Edriss S. Titi:
Well-Posedness of Hibler's Dynamical Sea-Ice Model. J. Nonlinear Sci. 32(4): 49 (2022) - [i2]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 abs/2201.10954 (2022) - [i1]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 abs/2211.02828 (2022) - 2020
- [j29]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): 410-429 (2020)
2010 – 2019
- 2019
- [j28]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): 501-510 (2019) - [j27]Emine Celik, Eric J. 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): 1118-1142 (2019) - [j26]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): 1913-1964 (2019) - 2018
- [j25]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): 1519-1533 (2018) - [j24]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): 78-110 (2018) - 2017
- [j23]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): 1065-1087 (2017) - [j22]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): 1513-1529 (2017) - [j21]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): 1-28 (2017) - 2016
- [j20]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): 139-164 (2016) - [j19]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): 2109-2142 (2016) - 2015
- [j18]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): 1308-1325 (2015) - 2014
- [j17]Abderrahim Azouani, Eric J. Olson, Edriss S. Titi:
Continuous Data Assimilation Using General Interpolant Observables. J. Nonlinear Sci. 24(2): 277-304 (2014) - [j16]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): 441-471 (2014) - 2013
- [j15]Chongsheng Cao, Aseel Farhat, Edriss S. Titi:
Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Commun. Inf. Syst. 13(1): 97-122 (2013) - [j14]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): 993-1000 (2013) - [j13]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): 1871-1885 (2013) - 2011
- [j12]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): 2124-2143 (2011)
2000 – 2009
- 2009
- [j11]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): 133-152 (2009) - [j10]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): 269-296 (2009) - 2008
- [j9]Zvi Artstein, Jasmine Linshiz, Edriss S. Titi:
Young Measure Approach to Computing Slowly Advancing Fast Oscillations. Multiscale Model. Simul. 6(4): 1085-1097 (2008) - 2006
- [j8]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): 233-253 (2006) - 2003
- [j7]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): 1-26 (2003) - [j6]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): 695-714 (2003) - 2001
- [j5]Julia Novo, Edriss S. Titi, Shannon Wynne:
Efficient methods using high accuracy approximate inertial manifolds. Numerische Mathematik 87(3): 523-554 (2001)
1990 – 1999
- 1999
- [j4]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): 893-911 (1999) - [j3]Bosco García-Archilla, Edriss S. Titi:
Postprocessing the Galerkin Method: The Finite-Element Case. SIAM J. Numer. Anal. 37(2): 470-499 (1999) - 1997
- [j2]Bernardo Cockburn, Don A. Jones, Edriss S. Titi:
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems. Math. Comput. 66(219): 1073-1087 (1997) - 1993
- [j1]Nadine Aubry, Wen-Yu Lian, Edriss S. Titi:
Preserving Symmetries in the Proper Orthogonal Decomposition. SIAM J. Sci. Comput. 14(2): 483-505 (1993)
Coauthor Index
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