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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)
DOI: 10.1016/S0362-546X(99)00283-7
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A simple postrocess procedure for Galerkin method

Hou Yanren and Li Kaitai
Applied Mathematics and Mechanics 21 (1) 79 (2000)
DOI: 10.1007/BF02458543
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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)
DOI: 10.1090/S0025-5718-99-01057-1
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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)
DOI: 10.1007/BFb0106106
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Postprocessing the Galerkin Method: The Finite-Element Case

Bosco GarcÍa-Archilla and Edriss S. Titi
SIAM Journal on Numerical Analysis 37 (2) 470 (1999)
DOI: 10.1137/S0036142998335893
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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)
DOI: 10.1002/(SICI)1097-0363(19990715)30:5<577::AID-FLD858>3.0.CO;2-T
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Direct and Large-Eddy Simulation III

F. Bouchon and T. Dubois
ERCOFTAC Series, Direct and Large-Eddy Simulation III 7 275 (1999)
DOI: 10.1007/978-94-015-9285-7_23
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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)
DOI: 10.1016/S1474-6670(17)44998-6
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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)
DOI: 10.1016/S0045-7825(98)80106-0
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A continuity property for the inverse of mañé's projection

Zdeněk Skalák
Applications of Mathematics 43 (1) 9 (1998)
DOI: 10.1023/A:1022291923761
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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)
DOI: 10.1137/S0036139996311618
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Explicit construction of integral manifolds with exponential tracking

V.V. Chepyzhov and A.Yu. Goritsky
Applicable Analysis 71 (1-4) 237 (1998)
DOI: 10.1080/00036819908840715
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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)
DOI: 10.1088/0305-4470/31/34/016
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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)
DOI: 10.1051/m2an/1998320607151
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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)
DOI: 10.1016/S1007-5704(98)90036-3
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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)
DOI: 10.1137/S0036142995296096
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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)
DOI: 10.1016/S1570-8659(98)80010-0
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A multilevel method for the resolution of a stochastic weakly damped nonlinear Schrödinger equation

Guy Moebs
Applied Numerical Mathematics 26 (3) 353 (1998)
DOI: 10.1016/S0168-9274(97)00075-5
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Arbitrarily accurate approximate inertial manifolds of fixed dimension

James C. Robinson
Physics Letters A 230 (5-6) 301 (1997)
DOI: 10.1016/S0375-9601(97)00245-4
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The Mathematics of Models for Climatology and Environment

Roger Temam
The Mathematics of Models for Climatology and Environment 181 (1997)
DOI: 10.1007/978-3-642-60603-8_5
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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)
DOI: 10.1007/BFb0107133
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Some closure results for inertial manifolds

J. C. Robinson
Journal of Dynamics and Differential Equations 9 (3) 373 (1997)
DOI: 10.1007/BF02227487
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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)
DOI: 10.1137/S0036142994267989
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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)
DOI: 10.1002/(SICI)1098-2426(199711)13:6<699::AID-NUM6>3.0.CO;2-M
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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)
DOI: 10.1016/S0168-9274(96)00074-8
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Remarks on nonlinear Galerkin method for Kuramoto-Sivashinsky equation

Wu Yujiang
Applied Mathematics and Mechanics 18 (10) 1005 (1997)
DOI: 10.1007/BF00189292
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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)
DOI: 10.1016/0362-546X(94)00207-X
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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)
DOI: 10.1016/0167-2789(96)00112-1
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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)
DOI: 10.1002/(SICI)1098-2426(199611)12:6<743::AID-NUM7>3.0.CO;2-S
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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)
DOI: 10.1016/0098-1354(95)00040-2
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MULTILEVEL SCHEMES FOR SOLVING UNSTEADY EQUATIONS

O. GOYON
International Journal for Numerical Methods in Fluids 22 (10) 937 (1996)
DOI: 10.1002/(SICI)1097-0363(19960530)22:10<937::AID-FLD387>3.0.CO;2-4
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Fourier nonlinear Galerkin approximation for the two dimensional Navier-Stokes equations

Hou Yanren
Applied Mathematics and Mechanics 17 (9) 879 (1996)
DOI: 10.1007/BF00127187
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Higher-order incremental unknowns, hierarchical basis, and nonlinear dissipative evolutionary equations

Salvador Garcia
Applied Numerical Mathematics 19 (4) 467 (1996)
DOI: 10.1016/0168-9274(95)00097-6
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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)
DOI: 10.1002/(SICI)1098-2426(199601)12:1<13::AID-NUM1>3.0.CO;2-Q
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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
Chaos, Solitons & Fractals 5 (10) 1833 (1995)
DOI: 10.1016/0960-0779(94)00197-X
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Finite-dimensional behavior in dissipative partial differential equations

J. C. Robinson
Chaos: An Interdisciplinary Journal of Nonlinear Science 5 (1) 330 (1995)
DOI: 10.1063/1.166081
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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)
DOI: 10.1063/1.868496
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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)
DOI: 10.1137/0732054
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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)
DOI: 10.1007/BF02218724
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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
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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)
DOI: 10.1007/BF00312446
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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)
DOI: 10.1007/BF00312444
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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)
DOI: 10.1051/m2an/1994280302431
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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)
DOI: 10.1137/S0036141092230428
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Trends and Perspectives in Applied Mathematics

Roger Temam
Applied Mathematical Sciences, Trends and Perspectives in Applied Mathematics 100 293 (1994)
DOI: 10.1007/978-1-4612-0859-4_10
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Full discrete nonlinear galerkin method for the Navier-Stokes equations

Li Kaitai, He Yinnian and Xiang Yimin
Applied Mathematics 9 (1) 11 (1994)
DOI: 10.1007/BF02662022
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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)
DOI: 10.1002/mma.1670170902
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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)
DOI: 10.1016/0168-9274(94)00021-2
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Approximation of exponential order of the attractor of a turbulent flow

A. Debussche and T. Dubois
Physica D: Nonlinear Phenomena 72 (4) 372 (1994)
DOI: 10.1016/0167-2789(94)90239-9
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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
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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
Physics Letters A 186 (1-2) 87 (1994)
DOI: 10.1016/0375-9601(94)90926-1
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A convergent family of approximate inertial manifolds

A. Debussche and R. Temam
Applied Mathematics Letters 6 (1) 87 (1993)
DOI: 10.1016/0893-9659(93)90155-G
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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)
DOI: 10.1137/0730083
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Galerkin projections and the proper orthogonal decomposition for equivariant equations

Gal Berkooz and Edriss S. Titi
Physics Letters A 174 (1-2) 94 (1993)
DOI: 10.1016/0375-9601(93)90549-F
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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)
DOI: 10.1007/BF01060871
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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)
DOI: 10.1137/0614031
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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)
DOI: 10.1007/BF00350095
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Turbulence in Fluid Flows

George R. Sell
The IMA Volumes in Mathematics and its Applications, Turbulence in Fluid Flows 55 165 (1993)
DOI: 10.1007/978-1-4612-4346-5_10
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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)
DOI: 10.1137/0914030
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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
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Nonlinear galerkin methods using hierarchical almost-orthogonal finite elements bases

Olivier Goubet
Nonlinear Analysis: Theory, Methods & Applications 20 (3) 223 (1993)
DOI: 10.1016/0362-546X(93)90160-T
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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)
DOI: 10.1007/BF02429862
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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
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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)
DOI: 10.1080/01630569308816521
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Construction of Approximate Inertial Manifolds Using Wavelets

Olivier Goubet
SIAM Journal on Mathematical Analysis 23 (6) 1455 (1992)
DOI: 10.1137/0523083
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On approximate inertial manifolds for two and three dimensional turbulent flows

Xiaosong Liu
Journal of Mathematical Analysis and Applications 163 (2) 559 (1992)
DOI: 10.1016/0022-247X(92)90267-H
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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)
DOI: 10.1016/0022-0396(92)90131-6
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An approximate inertial manifold for computing Burgers' equation

L.G. Margolin and D.A. Jones
Physica D: Nonlinear Phenomena 60 (1-4) 175 (1992)
DOI: 10.1016/0167-2789(92)90234-E
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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
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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)
DOI: 10.1016/0167-2789(92)90042-L
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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)
DOI: 10.1016/0022-247X(92)90226-4
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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)
DOI: 10.1016/0167-2789(92)90233-D
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On the number of determining nodes for the 2D Navier-Stokes equations

Don A Jones and Edriss S Titi
Journal of Mathematical Analysis and Applications 168 (1) 72 (1992)
DOI: 10.1016/0022-247X(92)90190-O
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Nonlinear galerkin method and subgrid-scale model for two-dimensional turbulent flows

Fr�d�ric Pascal and Claude Basdevant
Theoretical and Computational Fluid Dynamics 3 (5) 267 (1992)
DOI: 10.1007/BF00717644
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Approximate inertial manifolds for 2D Navier-Stokes equations

Wenhan Chen
Journal of Mathematical Analysis and Applications 165 (2) 399 (1992)
DOI: 10.1016/0022-247X(92)90048-I
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Localization and approximation of attractors for the Ginzburg-Landau equation

Keith Promislow and Roger Temam
Journal of Dynamics and Differential Equations 3 (4) 491 (1991)
DOI: 10.1007/BF01049097
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Approximate inertial manifolds and effective viscosity in turbulent flows

Ciprian Foias, Oscar P. Manley and Roger Temam
Physics of Fluids A: Fluid Dynamics 3 (5) 898 (1991)
DOI: 10.1063/1.858212
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On the ensemble average in the study of approximate inertial manifolds

Dongho Chae
Journal of Mathematical Analysis and Applications 160 (1) 236 (1991)
DOI: 10.1016/0022-247X(91)90302-G
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The incremental unknown method I

Min Chen and Roger Temam
Applied Mathematics Letters 4 (3) 73 (1991)
DOI: 10.1016/0893-9659(91)90040-3
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Subgrid modelling and the interaction of small and large wavelengths in turbulent flows

T. Dubois, F. Jauberteau, M. Marion and R. Temam
Computer Physics Communications 65 (1-3) 100 (1991)
DOI: 10.1016/0010-4655(91)90160-M
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Time analyticity and gevrey regularity for solutions of a class of dissipative partial differential equations

Keith Promislow
Nonlinear Analysis: Theory, Methods & Applications 16 (11) 959 (1991)
DOI: 10.1016/0362-546X(91)90100-F
See this article

Incremental unknowns for solving partial differential equations

Min Chen and Roger Temam
Numerische Mathematik 59 (1) 255 (1991)
DOI: 10.1007/BF01385779
See this article

Gevrey class regularity and approximate inertial manifolds for the Kuramoto-Sivashinsky equation

Xiaosong Liu
Physica D: Nonlinear Phenomena 50 (1) 135 (1991)
DOI: 10.1016/0167-2789(91)90085-N
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

A nonlinear Galerkin method for the Navier-Stokes equations

F. Jauberteau, C. Rosier and R. Temam
Computer Methods in Applied Mechanics and Engineering 80 (1-3) 245 (1990)
DOI: 10.1016/0045-7825(90)90028-K
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Inertial manifolds

R. Temam
The Mathematical Intelligencer 12 (4) 68 (1990)
DOI: 10.1007/BF03024036
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Long time stability and convergence for fully discrete nonlinear galerkin methods

Jie Shen
Applicable Analysis 38 (4) 201 (1990)
DOI: 10.1080/00036819008839963
See this article

Inertial Manifolds and Multigrid Methods

R. Temam
SIAM Journal on Mathematical Analysis 21 (1) 154 (1990)
DOI: 10.1137/0521009
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Nonlinear Galerkin methods: The finite elements case

M. Marion and R. Temam
Numerische Mathematik 57 (1) 205 (1990)
DOI: 10.1007/BF01386407
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Twelfth International Conference on Numerical Methods in Fluid Dynamics

Jacques Laminie, Frédéric Pascal and Roger Temam
Lecture Notes in Physics, Twelfth International Conference on Numerical Methods in Fluid Dynamics 371 278 (1990)
DOI: 10.1007/3-540-53619-1_183
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Induced trajectories and approximate inertial manifolds for the Ginzburg-Landau partial differential equation

Keith Promislow
Physica D: Nonlinear Phenomena 41 (2) 232 (1990)
DOI: 10.1016/0167-2789(90)90125-9
See this article

Approximate inertial manifolds for the 2d model of atmosphere

Shouhong Wang
Numerical Functional Analysis and Optimization 11 (9-10) 1043 (1990)
DOI: 10.1080/01630569108816416
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Invariant helical subspaces for the Navier-Stokes equations

A. Mahalov, E. S. Titi and S. Leibovich
Archive for Rational Mechanics and Analysis 112 (3) 193 (1990)
DOI: 10.1007/BF00381234
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Twelfth International Conference on Numerical Methods in Fluid Dynamics

Thierry Dubois, François Jauberteau and Roger Temam
Lecture Notes in Physics, Twelfth International Conference on Numerical Methods in Fluid Dynamics 371 116 (1990)
DOI: 10.1007/3-540-53619-1_142
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The nonlinear Galerkin method in computational fluid dynamics

F. Jauberteau, C. Rosier and R. Temam
Applied Numerical Mathematics 6 (5) 361 (1990)
DOI: 10.1016/0168-9274(90)90026-C
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On approximate Inertial Manifolds to the Navier-Stokes equations

Edriss S Titi
Journal of Mathematical Analysis and Applications 149 (2) 540 (1990)
DOI: 10.1016/0022-247X(90)90061-J
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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
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Partially Intergrable Evolution Equations in Physics

J. M. Ghidaglia
Partially Intergrable Evolution Equations in Physics 435 (1990)
DOI: 10.1007/978-94-009-0591-7_16
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Numerical Combustion

Roger Temam
Lecture Notes in Physics, Numerical Combustion 351 461 (1989)
DOI: 10.1007/3-540-51968-8_107
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Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation

Martine Marion
ESAIM: Mathematical Modelling and Numerical Analysis 23 (3) 463 (1989)
DOI: 10.1051/m2an/1989230304631
See this article

Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations

Jie Shen
Numerical Functional Analysis and Optimization 10 (11-12) 1213 (1989)
DOI: 10.1080/01630568908816354
See this article

Do inertial manifolds apply to turbulence?

R. Temam
Physica D: Nonlinear Phenomena 37 (1-3) 146 (1989)
DOI: 10.1016/0167-2789(89)90124-3
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11th International Conference on Numerical Methods in Fluid Dynamics

R. Temam
Lecture Notes in Physics, 11th International Conference on Numerical Methods in Fluid Dynamics 323 79 (1989)
DOI: 10.1007/3-540-51048-6_7
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Gevrey class regularity for the solutions of the Navier-Stokes equations

C Foias and R Temam
Journal of Functional Analysis 87 (2) 359 (1989)
DOI: 10.1016/0022-1236(89)90015-3
See this article

Induced trajectories and approximate inertial manifolds

Roger Temam
ESAIM: Mathematical Modelling and Numerical Analysis 23 (3) 541 (1989)
DOI: 10.1051/m2an/1989230305411
See this article

Nonlinear Galerkin Methods

Martine Marion and Roger Temam
SIAM Journal on Numerical Analysis 26 (5) 1139 (1989)
DOI: 10.1137/0726063
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The algebraic approximation of attractors: The finite dimensional case

C. Foias and R. Temam
Physica D: Nonlinear Phenomena 32 (2) 163 (1988)
DOI: 10.1016/0167-2789(88)90049-8
See this article