The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
C. Foias , O. Manley , R. Temam
ESAIM: M2AN, 22 1 (1988) 93-118
Published online: 2017-01-31
This article has been cited by the following article(s):
234 articles | Pages:
A nonlinear Galerkin/Petrov-least squares mixed element method for the stationary Navier-Stokes equations
Luo Zhen-dong, Zhu Jiang and Wang Hui-jun Applied Mathematics and Mechanics 23 (7) 783 (2002) https://doi.org/10.1007/BF02456974
A nonlinear galerkin mixed element method and a posteriori error estimator for the stationary navier-stokes equations
Luo Zhen-dong and Zhu Jiang Applied Mathematics and Mechanics 23 (10) 1194 (2002) https://doi.org/10.1007/BF02437668
Recent Progress in Computational and Applied PDES
Wu Yu-jiang and Yang Zhong-hua Recent Progress in Computational and Applied PDES 383 (2002) https://doi.org/10.1007/978-1-4615-0113-8_26
Postprocessing Fourier spectral methods: The case of smooth solutions
Bosco García-Archilla, Julia Novo and Edriss S. Titi Applied Numerical Mathematics 43 (3) 191 (2002) https://doi.org/10.1016/S0168-9274(01)00134-9
K. Kemenov and S. Menon (2002) https://doi.org/10.2514/6.2002-287
DPIV/T-driven convective heat transfer simulation
X. Ma, G.E. Karniadakis, H. Park and M. Gharib International Journal of Heat and Mass Transfer 45 (17) 3517 (2002) https://doi.org/10.1016/S0017-9310(02)00071-6
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
Ramon Codina Computer Methods in Applied Mechanics and Engineering 191 (39-40) 4295 (2002) https://doi.org/10.1016/S0045-7825(02)00337-7
Stability of Galerkin and Inertial Algorithms with variable time step size
Yinnian He and Kaitai Li Journal of Computational and Applied Mathematics 146 (2) 213 (2002) https://doi.org/10.1016/S0377-0427(02)00354-0
A. Armaou and P.D. Christofides 2 2310 (2002) https://doi.org/10.1109/CDC.2002.1184877
Dynamic optimization of dissipative PDE systems using nonlinear order reduction
Antonios Armaou and Panagiotis D. Christofides Chemical Engineering Science 57 (24) 5083 (2002) https://doi.org/10.1016/S0009-2509(02)00419-0
The Generalized Nonlinear Galerkin Method Applied to Hydrodynamics of the Open Sea
B. DI MARTINO and P. ORENGA International Journal of Computational Fluid Dynamics 14 (4) 305 (2001) https://doi.org/10.1080/10618560108940731
A Nonlinear Galerkin Method for the Shallow-Water Equations on Periodic Domains
Saulo R.M. Barros and José W. Cárdenas Journal of Computational Physics 172 (2) 592 (2001) https://doi.org/10.1006/jcph.2001.6843
A microscopic derivation of the equilibrium energy density spectrum for barotropic turbulence on a sphere
Chjan C. Lim Physica A: Statistical Mechanics and its Applications 294 (3-4) 375 (2001) https://doi.org/10.1016/S0378-4371(01)00029-2
A multilevel method applied in the nonhomogeneous direction of the channel flow problem
F. Bouchon and F. Jauberteau Applied Numerical Mathematics 36 (1) 1 (2001) https://doi.org/10.1016/S0168-9274(99)00043-4
Two-grid finite-element schemes for the transient Navier-Stokes problem
Vivette Girault and Jacques-Louis Lions ESAIM: Mathematical Modelling and Numerical Analysis 35 (5) 945 (2001) https://doi.org/10.1051/m2an:2001145
Accurate Computations on Inertial Manifolds
M. S. Jolly, R. Rosa and R. Temam SIAM Journal on Scientific Computing 22 (6) 2216 (2001) https://doi.org/10.1137/S1064827599351738
Subgrid stabilization of Galerkin approximations of linear contraction semi-groups of classC0 in Hilbert spaces
Jean-Luc Guermond Numerical Methods for Partial Differential Equations 17 (1) 1 (2001) https://doi.org/10.1002/1098-2426(200101)17:1<1::AID-NUM1>3.0.CO;2-1
The Energy Operator and New Scaling Relations for the Incompressible Navier--Stokes Equations
Paul F. Batcho SIAM Journal on Applied Mathematics 62 (1) 70 (2001) https://doi.org/10.1137/S0036139999354121
A ladder inequality for the Navier-Stokes equation
Igor Kukavica Nonlinearity 13 (3) 639 (2000) https://doi.org/10.1088/0951-7715/13/3/307
Stability and convergence for the reform postprocessing Galerkin method
He Yinnian and R.M.M. Mattheij Nonlinear Analysis: Real World Applications 1 (4) 517 (2000) https://doi.org/10.1016/S0362-546X(99)00283-7
An Adaptive Multi-level method for Convection Diffusion Problems
Martine Marion and Adeline Mollard ESAIM: Mathematical Modelling and Numerical Analysis 34 (2) 439 (2000) https://doi.org/10.1051/m2an:2000150
LOCALIZATION AND APPROXIMATION OF ATTRACTORS FOR THE KURAMOTO-SIVASHINSKY EQUATIONS
Yujiang Wu and Benyu Guo Acta Mathematica Scientia 20 (2) 145 (2000) https://doi.org/10.1016/S0252-9602(17)30551-9
Limiting Behavior for an Iterated Viscosity
Ciprian Foias, Michael S. Jolly and Oscar P. Manley ESAIM: Mathematical Modelling and Numerical Analysis 34 (2) 353 (2000) https://doi.org/10.1051/m2an:2000145
Parallel Solution of Partial Differential Equations
Amir Averbuch, Ludimila Ioffe, Moshe Israeli and Lev Vozovoi The IMA Volumes in Mathematics and its Applications, Parallel Solution of Partial Differential Equations 120 123 (2000) https://doi.org/10.1007/978-1-4612-1176-1_6
Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method
Guy Moebs and Roger Temam Journal of the Optical Society of America A 17 (10) 1870 (2000) https://doi.org/10.1364/JOSAA.17.001870
A simple postrocess procedure for Galerkin method
Hou Yanren and Li Kaitai Applied Mathematics and Mechanics 21 (1) 79 (2000) https://doi.org/10.1007/BF02458543
A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy
Javier de Frutos and Julia Novo SIAM Journal on Numerical Analysis 38 (3) 799 (2000) https://doi.org/10.1137/S0036142999351984
Direct and Large-Eddy Simulation III
F. Bouchon and T. Dubois ERCOFTAC Series, Direct and Large-Eddy Simulation III 7 275 (1999) https://doi.org/10.1007/978-94-015-9285-7_23
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
Bosco García-Archilla, Julia Novo and Edriss Titi Mathematics of Computation 68 (227) 893 (1999) https://doi.org/10.1090/S0025-5718-99-01057-1
Postprocessing the Galerkin Method: The Finite-Element Case
Bosco GarcÍa-Archilla and Edriss S. Titi SIAM Journal on Numerical Analysis 37 (2) 470 (1999) https://doi.org/10.1137/S0036142998335893
Resolution to a three-dimensional physical oceanographic problem using the non-linear Galerkin method
Bernard Di Martino and Pierre Orenga International Journal for Numerical Methods in Fluids 30 (5) 577 (1999) https://doi.org/10.1002/(SICI)1097-0363(19990715)30:5<577::AID-FLD858>3.0.CO;2-T
Industrial and Environmental Applications of Direct and Large-Eddy Simulation
Kunt Atalık and Akın Tezel Lecture Notes in Physics, Industrial and Environmental Applications of Direct and Large-Eddy Simulation 529 230 (1999) https://doi.org/10.1007/BFb0106106
A Dynamic Multilevel Model for the Simulation of the Small Structures in Homogeneous Isotropic Turbulence
T. Dubois and F. Jauberteau Journal of Scientific Computing 13 (3) 323 (1998) https://doi.org/10.1023/A:1023223217210
Nonlinear Galerkin methods based on the concept of determining modes for the magnetohydrodynamic equations
Olaf Schmidtmann, Fred Feudel and Norbert Seehafer Journal of Physics A: Mathematical and General 31 (34) 7141 (1998) https://doi.org/10.1088/0305-4470/31/34/016
A multilevel method for the resolution of a stochastic weakly damped nonlinear Schrödinger equation
Guy Moebs Applied Numerical Mathematics 26 (3) 353 (1998) https://doi.org/10.1016/S0168-9274(97)00075-5
Order Reduction of Nonlinear Dynamic Models for Distributed Reacting Systems
S.Y. Shvartsman, R. Rico-Martínez, E.S. Titi, et al. IFAC Proceedings Volumes 31 (11) 637 (1998) https://doi.org/10.1016/S1474-6670(17)44998-6
Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
Bosco García-Archilla, Julia Novo and Edriss S. Titi SIAM Journal on Numerical Analysis 35 (3) 941 (1998) https://doi.org/10.1137/S0036142995296096
The Additive Turbulent Decomposition for the Two-Dimensional Incompressible Navier--Stokes Equations: Convergence Theorems and Error Estimates
Peter Perry, Russell M. Brown and Zhongwei Shen SIAM Journal on Applied Mathematics 59 (1) 139 (1998) https://doi.org/10.1137/S0036139996311618
The spectral method for the flow between two concentric rotating spheres, part II: The full discrete nonlinear Legendre-Galerkin method
Weibing Feng and Kaitai Li Communications in Nonlinear Science and Numerical Simulation 3 (4) 211 (1998) https://doi.org/10.1016/S1007-5704(98)90036-3
Incremental unknowns, multilevel methods and the numerical simulation of turbulence
T. Dubois, F. Jauberteau and R. Temam Computer Methods in Applied Mechanics and Engineering 159 (1-2) 123 (1998) https://doi.org/10.1016/S0045-7825(98)80106-0
Bifurcations of finite difference schemes and their approximate inertial forms
Rolf Bronstering and Min Chen ESAIM: Mathematical Modelling and Numerical Analysis 32 (6) 715 (1998) https://doi.org/10.1051/m2an/1998320607151
Explicit construction of integral manifolds with exponential tracking
V.V. Chepyzhov and A.Yu. Goritsky Applicable Analysis 71 (1-4) 237 (1998) https://doi.org/10.1080/00036819908840715
Numerical Methods for Solids (Part 3) Numerical Methods for Fluids (Part 1)
Martine Marion and Roger Temam Handbook of Numerical Analysis, Numerical Methods for Solids (Part 3) Numerical Methods for Fluids (Part 1) 6 503 (1998) https://doi.org/10.1016/S1570-8659(98)80010-0
A continuity property for the inverse of mañé's projection
Zdeněk Skalák Applications of Mathematics 43 (1) 9 (1998) https://doi.org/10.1023/A:1022291923761
Some closure results for inertial manifolds
J. C. Robinson Journal of Dynamics and Differential Equations 9 (3) 373 (1997) https://doi.org/10.1007/BF02227487
Multilevel Methods in Space and Time for the Navier--Stokes Equations
J. B. Burie and M. Marion SIAM Journal on Numerical Analysis 34 (4) 1574 (1997) https://doi.org/10.1137/S0036142994267989
Remarks on nonlinear Galerkin method for Kuramoto-Sivashinsky equation
Wu Yujiang Applied Mathematics and Mechanics 18 (10) 1005 (1997) https://doi.org/10.1007/BF00189292
The Mathematics of Models for Climatology and Environment
Roger Temam The Mathematics of Models for Climatology and Environment 181 (1997) https://doi.org/10.1007/978-3-642-60603-8_5
Fifteenth International Conference on Numerical Methods in Fluid Dynamics
Thierry Dubois, Francois Jauberteau and Roger Temam Lecture Notes in Physics, Fifteenth International Conference on Numerical Methods in Fluid Dynamics 490 388 (1997) https://doi.org/10.1007/BFb0107133
A parallel spectral Fourier-Nonlinear Galerkin algorithm for simulation of turbulence
A. Averbuch, L. Ioffe, M. Israeli and L. Vozovoi Numerical Methods for Partial Differential Equations 13 (6) 699 (1997) https://doi.org/10.1002/(SICI)1098-2426(199711)13:6<699::AID-NUM6>3.0.CO;2-M
Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization
C. Calgaro, J. Laminie and R. Temam Applied Numerical Mathematics 23 (4) 403 (1997) https://doi.org/10.1016/S0168-9274(96)00074-8
Arbitrarily accurate approximate inertial manifolds of fixed dimension
James C. Robinson Physics Letters A 230 (5-6) 301 (1997) https://doi.org/10.1016/S0375-9601(97)00245-4
Stability study, error estimation, and condition number for semi-implicit schemes using incremental unknowns
Francois Pouit Numerical Methods for Partial Differential Equations 12 (6) 743 (1996) https://doi.org/10.1002/(SICI)1098-2426(199611)12:6<743::AID-NUM7>3.0.CO;2-S
Fourier nonlinear Galerkin approximation for the two dimensional Navier-Stokes equations
Hou Yanren Applied Mathematics and Mechanics 17 (9) 879 (1996) https://doi.org/10.1007/BF00127187
Higher-order incremental unknowns, hierarchical basis, and nonlinear dissipative evolutionary equations
Salvador Garcia Applied Numerical Mathematics 19 (4) 467 (1996) https://doi.org/10.1016/0168-9274(95)00097-6
Alternative approaches to the Karhunen-Loève decomposition for model reduction and data analysis
Michael D. Graham and Ioannis G. Kevrekidis Computers & Chemical Engineering 20 (5) 495 (1996) https://doi.org/10.1016/0098-1354(95)00040-2
MULTILEVEL SCHEMES FOR SOLVING UNSTEADY EQUATIONS
O. GOYON International Journal for Numerical Methods in Fluids 22 (10) 937 (1996) https://doi.org/10.1002/(SICI)1097-0363(19960530)22:10<937::AID-FLD387>3.0.CO;2-4
Enslaved finite difference approximations for quasigeostrophic shallow flows
Andrew C. Poje, Don A. Jones and Len G. Margolin Physica D: Nonlinear Phenomena 98 (2-4) 559 (1996) https://doi.org/10.1016/0167-2789(96)00112-1
Enslaved finite difference schemes for nonlinear dissipative PDEs
Don A. Jones, Len G. Margolin and Andrew C. Poje Numerical Methods for Partial Differential Equations 12 (1) 13 (1996) https://doi.org/10.1002/(SICI)1098-2426(199601)12:1<13::AID-NUM1>3.0.CO;2-Q
Modelling of the interaction of lower and higher modes in two-dimensional MHD-equations
Olaf Schmidtmann Nonlinear Analysis: Theory, Methods & Applications 26 (1) 41 (1996) https://doi.org/10.1016/0362-546X(94)00207-X
On computing the long-time solution of the two-dimensional Navier-Stokes equations
M. S. Jolly and C. Xiong Theoretical and Computational Fluid Dynamics 7 (4) 261 (1995) https://doi.org/10.1007/BF00312445
Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
Martine Marion and Jinchao Xu SIAM Journal on Numerical Analysis 32 (4) 1170 (1995) https://doi.org/10.1137/0732054
Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation
M.S. Jolly, R. Témam and C. Xiong Chaos, Solitons & Fractals 5 (10) 1833 (1995) https://doi.org/10.1016/0960-0779(94)00197-X
Inertial manifolds, partially space-averaged equations, and the separation of scales in turbulent flows*
Oscar Manley, Roger Temam and Shouhong Wang Physics of Fluids 7 (7) 1791 (1995) https://doi.org/10.1063/1.868496
On the effectiveness of the approximate inertial manifold?a computational study
Don A. Jones, Len G. Margolin and Edriss S. Titi Theoretical and Computational Fluid Dynamics 7 (4) 243 (1995) https://doi.org/10.1007/BF00312444
The nonlinear galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows
A. Debussche, T. Dubois and R. Temam Theoretical and Computational Fluid Dynamics 7 (4) 279 (1995) https://doi.org/10.1007/BF00312446
Finite-dimensional behavior in dissipative partial differential equations
J. C. Robinson Chaos: An Interdisciplinary Journal of Nonlinear Science 5 (1) 330 (1995) https://doi.org/10.1063/1.166081
Approximate inertial manifolds of exponential order for semilinear parabolic equations subjected to additive white noise
I. D. Chueshov Journal of Dynamics and Differential Equations 7 (4) 549 (1995) https://doi.org/10.1007/BF02218724
A Remark on Quasi-Stationary Approximate Inertial Manifolds for the Navier–Stokes Equations
D. A. Jones and E. S. Titi SIAM Journal on Mathematical Analysis 25 (3) 894 (1994) https://doi.org/10.1137/S0036141092230428
Approximation of exponential order of the attractor of a turbulent flow
A. Debussche and T. Dubois Physica D: Nonlinear Phenomena 72 (4) 372 (1994) https://doi.org/10.1016/0167-2789(94)90239-9
Separation of variables in the Stokes problem application to its finite element multiscale approximation
O. Goubet ESAIM: Mathematical Modelling and Numerical Analysis 28 (3) 243 (1994) https://doi.org/10.1051/m2an/1994280302431
Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization
Jacques Laminie, Frédéric Pascal and Roger Temam Applied Numerical Mathematics 15 (2) 219 (1994) https://doi.org/10.1016/0168-9274(94)00021-2
Trends and Perspectives in Applied Mathematics
Roger Temam Applied Mathematical Sciences, Trends and Perspectives in Applied Mathematics 100 293 (1994) https://doi.org/10.1007/978-1-4612-0859-4_10
Approximation of Attractors by Algebraic or Analytic Sets
C. Foias and R. Temam SIAM Journal on Mathematical Analysis 25 (5) 1269 (1994) https://doi.org/10.1137/S0036141091224552
On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation
C. Foias, M.S. Jolly, I.G. Kevrekidis and E.S. Titi Physics Letters A 186 (1-2) 87 (1994) https://doi.org/10.1016/0375-9601(94)90926-1
Regularity of solutions and approximate inertial manifolds for von Karman evolution equations
I. D. Chueshov Mathematical Methods in the Applied Sciences 17 (9) 667 (1994) https://doi.org/10.1002/mma.1670170902
Full discrete nonlinear galerkin method for the Navier-Stokes equations
Li Kaitai, He Yinnian and Xiang Yimin Applied Mathematics 9 (1) 11 (1994) https://doi.org/10.1007/BF02662022
Incremental Unknowns in Finite Differences: Condition Number of the Matrix
Min Chen and Roger Temam SIAM Journal on Matrix Analysis and Applications 14 (2) 432 (1993) https://doi.org/10.1137/0614031
On the rate of convergence of the nonlinear Galerkin methods
Christophe Devulder, Martine Marion and Edriss S. Titi Mathematics of Computation 60 (202) 495 (1993) https://doi.org/10.1090/S0025-5718-1993-1160273-1
Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations
M.S. Jolly Physica D: Nonlinear Phenomena 63 (1-2) 8 (1993) https://doi.org/10.1016/0167-2789(93)90143-O
Galerkin projections and the proper orthogonal decomposition for equivariant equations
Gal Berkooz and Edriss S. Titi Physics Letters A 174 (1-2) 94 (1993) https://doi.org/10.1016/0375-9601(93)90549-F
On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method
John G. Heywood and Rolf Rannacher SIAM Journal on Numerical Analysis 30 (6) 1603 (1993) https://doi.org/10.1137/0730083
Turbulence in Fluid Flows
George R. Sell The IMA Volumes in Mathematics and its Applications, Turbulence in Fluid Flows 55 165 (1993) https://doi.org/10.1007/978-1-4612-4346-5_10
Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
T. Dubois, F. Jauberteau and R. Temam Journal of Scientific Computing 8 (2) 167 (1993) https://doi.org/10.1007/BF01060871
Computational efficiency and approximate inertial manifolds for a Bénard convection system
M. D. Graham, P. H. Steen and E. S. Titi Journal of Nonlinear Science 3 (1) 153 (1993) https://doi.org/10.1007/BF02429862
On the Numerical Solution of the Incompressible Navier‐Stokes Equations
R. Rannacher ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 73 (9) 203 (1993) https://doi.org/10.1002/zamm.19930730903
Preserving Symmetries in the Proper Orthogonal Decomposition
Nadine Aubry, Wen-Yu Lian and Edriss S. Titi SIAM Journal on Scientific Computing 14 (2) 483 (1993) https://doi.org/10.1137/0914030
Low dimensional approximate inertial manifolds for the kuramoto-sivashinsky equation
Wenhan Chen Numerical Functional Analysis and Optimization 14 (3-4) 265 (1993) https://doi.org/10.1080/01630569308816521
A convergent family of approximate inertial manifolds
A. Debussche and R. Temam Applied Mathematics Letters 6 (1) 87 (1993) https://doi.org/10.1016/0893-9659(93)90155-G
Nonlinear galerkin methods using hierarchical almost-orthogonal finite elements bases
Olivier Goubet Nonlinear Analysis: Theory, Methods & Applications 20 (3) 223 (1993) https://doi.org/10.1016/0362-546X(93)90160-T
Implementation of finite element nonlinear Galerkin methods using hierarchical bases
Jacques Laminie, Fr�d�ric Pascal and Roger Temam Computational Mechanics 11 (5-6) 384 (1993) https://doi.org/10.1007/BF00350095
Approximate inertial manifolds for 2D Navier-Stokes equations
Wenhan Chen Journal of Mathematical Analysis and Applications 165 (2) 399 (1992) https://doi.org/10.1016/0022-247X(92)90048-I
On approximate inertial manifolds for two and three dimensional turbulent flows
Xiaosong Liu Journal of Mathematical Analysis and Applications 163 (2) 559 (1992) https://doi.org/10.1016/0022-247X(92)90267-H
On the construction of families of approximate inertial manifolds
A Debussche and M Marion Journal of Differential Equations 100 (1) 173 (1992) https://doi.org/10.1016/0022-0396(92)90131-6
A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods
Christophe Devulder and Martine Marion SIAM Journal on Numerical Analysis 29 (2) 462 (1992) https://doi.org/10.1137/0729028
An approximate inertial manifold for computing Burgers' equation
L.G. Margolin and D.A. Jones Physica D: Nonlinear Phenomena 60 (1-4) 175 (1992) https://doi.org/10.1016/0167-2789(92)90234-E
Construction of Approximate Inertial Manifolds Using Wavelets
Olivier Goubet SIAM Journal on Mathematical Analysis 23 (6) 1455 (1992) https://doi.org/10.1137/0523083
Strongly interacting travelling waves and quasiperiodic dynamics in porous medium convection
Michael D. Graham and Paul H. Steen Physica D: Nonlinear Phenomena 54 (4) 331 (1992) https://doi.org/10.1016/0167-2789(92)90042-L
A note on Gevrey class regularity for the solutions of the Navier-Stokes equations
Xiaosong Liu Journal of Mathematical Analysis and Applications 167 (2) 588 (1992) https://doi.org/10.1016/0022-247X(92)90226-4
Determining finite volume elements for the 2D Navier-Stokes equations
Don A. Jones and Edriss S. Titi Physica D: Nonlinear Phenomena 60 (1-4) 165 (1992) https://doi.org/10.1016/0167-2789(92)90233-D
Pages:
101 to 200 of 234 articles