Articles citing this article

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:

This article has been cited by the following article(s):

Nonlinear Galerkin Methods

Martine Marion and Roger Temam
SIAM Journal on Numerical Analysis 26 (5) 1139 (1989)
DOI: 10.1137/0726063
See this article

The Fourier spectral method for the Cahn–Hilliard equation

Xingde Ye and Xiaoliang Cheng
Applied Mathematics and Computation 171 (1) 345 (2005)
DOI: 10.1016/j.amc.2005.01.050
See this article

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)
DOI: 10.1016/0167-2789(93)90143-O
See this article

A modified nonlinear POD method for order reduction based on transient time series

Kuan Lu, Hai Yu, Yushu Chen, Qingjie Cao and Lei Hou
Nonlinear Dynamics 79 (2) 1195 (2015)
DOI: 10.1007/s11071-014-1736-z
See this article

George R. Sell
55 165 (1993)
DOI: 10.1007/978-1-4612-4346-5_10
See this article

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)
DOI: 10.1007/BF00312445
See this article

On the reduction principle in the theory of stability of motion

O. B. Lykova
Ukrainian Mathematical Journal 45 (12) 1861 (1993)
DOI: 10.1007/BF01061356
See this article

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)
DOI: 10.1137/0729028
See this article

Nonlinear Galerkin methods: The finite elements case

M. Marion and R. Temam
Numerische Mathematik 57 (1) 205 (1990)
DOI: 10.1007/BF01386407
See this article

The Legendre collocation method for the Cahn–Hilliard equation

Xingde Ye
Journal of Computational and Applied Mathematics 150 (1) 87 (2003)
DOI: 10.1016/S0377-0427(02)00566-6
See this article

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)
DOI: 10.1016/0960-0779(94)00197-X
See this article

Reduced-order-based feedback control of the Kuramoto–Sivashinsky equation

C.H. Lee and H.T. Tran
Journal of Computational and Applied Mathematics 173 (1) 1 (2005)
DOI: 10.1016/
See this article

On a construction of approximate inertial manifolds for second order in time evolution equations

I.D. Chueshov
Nonlinear Analysis: Theory, Methods & Applications 26 (5) 1007 (1996)
DOI: 10.1016/0362-546X(94)00191-4
See this article

On the construction of families of approximate inertial manifolds

A Debussche and M Marion
Journal of Differential Equations 100 (1) 173 (1992)
DOI: 10.1016/0022-0396(92)90131-6
See this article

Low dimensional approximate inertial manifolds for the kuramoto-sivashinsky equation

Wenhan Chen
Numerical Functional Analysis and Optimization 14 (3-4) 265 (1993)
DOI: 10.1080/01630569308816521
See this article

Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation

M. S. Jolly, I. G. Kevrekidis and E. S. Titi
Journal of Dynamics and Differential Equations 3 (2) 179 (1991)
DOI: 10.1007/BF01047708
See this article

The Fourier collocation method for the Cahn-Hilliard equation

Xingde Ye
Computers & Mathematics with Applications 44 (1-2) 213 (2002)
DOI: 10.1016/S0898-1221(02)00142-6
See this article

Martine Marion and Roger Temam
6 503 (1998)
DOI: 10.1016/S1570-8659(98)80010-0
See this article

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)
DOI: 10.1090/S0025-5718-1993-1160273-1
See this article

Approximation of Attractors by Algebraic or Analytic Sets

C. Foias and R. Temam
SIAM Journal on Mathematical Analysis 25 (5) 1269 (1994)
DOI: 10.1137/S0036141091224552
See this article

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)
DOI: 10.1016/0375-9601(94)90926-1
See this article

Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations

M.S. Jolly, I.G. Kevrekidis and E.S. Titi
Physica D: Nonlinear Phenomena 44 (1-2) 38 (1990)
DOI: 10.1016/0167-2789(90)90046-R
See this article