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All issues ESAIM: M2AN, 23 3 (1989) 463-488 Article references

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Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations

M.S. Jolly
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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)
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George R. Sell
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On computing the long-time solution of the two-dimensional Navier-Stokes equations

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On the reduction principle in the theory of stability of motion

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Ukrainian Mathematical Journal 45 (12) 1861 (1993)
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A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods

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Nonlinear Galerkin methods: The finite elements case

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The Legendre collocation method for the Cahn–Hilliard equation

Xingde Ye
Journal of Computational and Applied Mathematics 150 (1) 87 (2003)
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Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation

M.S. Jolly, R. Témam and C. Xiong
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Reduced-order-based feedback control of the Kuramoto–Sivashinsky equation

C.H. Lee and H.T. Tran
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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)
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On the construction of families of approximate inertial manifolds

A Debussche and M Marion
Journal of Differential Equations 100 (1) 173 (1992)
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Low dimensional approximate inertial manifolds for the kuramoto-sivashinsky equation

Wenhan Chen
Numerical Functional Analysis and Optimization 14 (3-4) 265 (1993)
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Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation

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The Fourier collocation method for the Cahn-Hilliard equation

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On the rate of convergence of the nonlinear Galerkin methods

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Mathematics of Computation 60 (202) 495 (1993)
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Approximation of Attractors by Algebraic or Analytic Sets

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SIAM Journal on Mathematical Analysis 25 (5) 1269 (1994)
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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
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Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations

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