-
1
-
-
0003796630
-
-
Academic Press, New York
-
R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
0030367528
-
Some computational aspects on approximate inertial manifolds and finite differences
-
R. BRONSTERING, Some computational aspects on approximate inertial manifolds and finite differences, Discrete Cont. Dynam. Sys., 2 (1996), pp. 417-454.
-
(1996)
Discrete Cont. Dynam. Sys.
, vol.2
, pp. 417-454
-
-
Bronstering, R.1
-
3
-
-
0000152484
-
VODE: A variable coefficient ODE solver
-
P. N. BROWN, G. D. BYRNE, AND A. C. HINDMARSH, VODE: A variable coefficient ODE solver, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 1038-1051.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 1038-1051
-
-
Brown, P.N.1
Byrne, G.D.2
Hindmarsh, A.C.3
-
4
-
-
0003766476
-
Spectral Methods in Fluid Dynamics
-
Springer-Verlag, New York
-
C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer Ser. Comput. Phys., Springer-Verlag, New York, 1988.
-
(1988)
Springer Ser. Comput. Phys.
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
5
-
-
0000045013
-
Incremental unknowns for solving partial differential equations
-
M. CHEN AND R. TEMAM, Incremental unknowns for solving partial differential equations, Numer. Math., 59 (1991), pp. 255-271.
-
(1991)
Numer. Math.
, vol.59
, pp. 255-271
-
-
Chen, M.1
Temam, R.2
-
6
-
-
0003545358
-
Navier-Stokes Equations
-
The University of Chicago Press, IL
-
P. CONSTANTIN AND C. FOIAS, Navier-Stokes Equations, Chicago Lectures in Math., The University of Chicago Press, IL, 1988.
-
(1988)
Chicago Lectures in Math.
-
-
Constantin, P.1
Foias, C.2
-
7
-
-
0000135193
-
On the construction of families of approximate inertial manifolds
-
A. DEBUSSCHE AND M. MARION, On the construction of families of approximate inertial manifolds, J. Differential Equations, 100 (1992), pp. 173-201.
-
(1992)
J. Differential Equations
, vol.100
, pp. 173-201
-
-
Debussche, A.1
Marion, M.2
-
8
-
-
0029533847
-
Nonlinear Galerkin method: The two-level Fourier collocation case
-
L. DETTORI, D. GOTTLIEB, AND R. TEMAM, Nonlinear Galerkin method: The two-level Fourier collocation case, J. Sci. Comput., 10 (1995), pp. 371-389.
-
(1995)
J. Sci. Comput.
, vol.10
, pp. 371-389
-
-
Dettori, L.1
Gottlieb, D.2
Temam, R.3
-
9
-
-
0008719072
-
Nonlinear Galerkin method: The two-level Chebyshev collocation case
-
A. V. Ilin and L. R. Scott, eds., Houston J. Math., Houston
-
L. DETTORI, D. GOTTLIEB, AND R. TEMAM, Nonlinear Galerkin method: The two-level Chebyshev collocation case, in Proc. 3rd Internat. Conference on Spectral and High Order Methods, ICOSAHOM '95, A. V. Ilin and L. R. Scott, eds., Houston J. Math., Houston, 1996, pp. 75-82.
-
(1996)
Proc. 3rd Internat. Conference on Spectral and High Order Methods, ICOSAHOM '95
, pp. 75-82
-
-
Dettori, L.1
Gottlieb, D.2
Temam, R.3
-
10
-
-
0026846243
-
A class of numerical algorithms for large time integration: The nonlinear Galerkin method
-
C. DEVULDER AND M. MARION, A class of numerical algorithms for large time integration: The nonlinear Galerkin method, SIAM J. Numer. Anal., 29 (1992), pp. 462-483.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 462-483
-
-
Devulder, C.1
Marion, M.2
-
11
-
-
84968484137
-
On the rate of convergence of nonlinear Galerkin methods
-
C. DEVULDER, M. MARION, AND E. S. TITI, On the rate of convergence of nonlinear Galerkin methods, Math. Comp., 60 (1993), pp. 495-514.
-
(1993)
Math. Comp.
, vol.60
, pp. 495-514
-
-
Devulder, C.1
Marion, M.2
Titi, E.S.3
-
12
-
-
0000287007
-
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation
-
A. DOELMAN AND E. S. TITI, Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation, Numer. Funct. Anal. Optim., 14 (1993), pp. 299-321.
-
(1993)
Numer. Funct. Anal. Optim.
, vol.14
, pp. 299-321
-
-
Doelman, A.1
Titi, E.S.2
-
13
-
-
0000815546
-
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
-
J. DUAN, E. S. TITI, AND P. HOLMES, Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation, Nonlinearity, 6 (1993), pp. 915-933.
-
(1993)
Nonlinearity
, vol.6
, pp. 915-933
-
-
Duan, J.1
Titi, E.S.2
Holmes, P.3
-
14
-
-
0026413075
-
Subgrid modelling and interaction of small and large wavelengths in turbulent flows
-
T. DUBOIS, F. JAUBERTEAU, M. MARION, AND R. TEMAM, Subgrid modelling and interaction of small and large wavelengths in turbulent flows, Comput. Phys. Comm., 65 (1991), pp. 100-106.
-
(1991)
Comput. Phys. Comm.
, vol.65
, pp. 100-106
-
-
Dubois, T.1
Jauberteau, F.2
Marion, M.3
Temam, R.4
-
16
-
-
0001157761
-
On the computation of inertial manifolds
-
C. FOIAS, M. S. JOLLY, I. G. KEVREKIDIS, G. R. SELL, AND E. S. TITI, On the computation of inertial manifolds, Phys. Lett. A, 131 (1988), pp. 433-436.
-
(1988)
Phys. Lett. A
, vol.131
, pp. 433-436
-
-
Foias, C.1
Jolly, M.S.2
Kevrekidis, I.G.3
Sell, G.R.4
Titi, E.S.5
-
17
-
-
0001336644
-
Dissipativity of numerical schemes
-
C. FOIAS, M. S. JOLLY, I. G. KEVREKIDIS, AND E. S. TITI, Dissipativity of numerical schemes, Nonlinearity, 4 (1991), pp. 591-613.
-
(1991)
Nonlinearity
, vol.4
, pp. 591-613
-
-
Foias, C.1
Jolly, M.S.2
Kevrekidis, I.G.3
Titi, E.S.4
-
18
-
-
0000640737
-
Modelling of the interaction of small and large eddies in two dimensional turbulent flows
-
C. FOIAS, O. MANLEY, AND R. TEMAM, Modelling of the interaction of small and large eddies in two dimensional turbulent flows, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 93-114.
-
(1988)
RAIRO Modél. Math. Anal. Numér.
, vol.22
, pp. 93-114
-
-
Foias, C.1
Manley, O.2
Temam, R.3
-
19
-
-
0000640733
-
Inertial manifolds for nonlinear evolutionary equations
-
C. FOIAS, G. R. SELL, AND R. TEMAM, Inertial manifolds for nonlinear evolutionary equations, J. Differential Equations, 73 (1988), pp. 309-353.
-
(1988)
J. Differential Equations
, vol.73
, pp. 309-353
-
-
Foias, C.1
Sell, G.R.2
Temam, R.3
-
20
-
-
0001686992
-
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
-
C. FOIAS, G. R. SELL, AND E. S. TITI, Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations, J. Dyn. Differential Equations, 1 (1989), pp. 199-243.
-
(1989)
J. Dyn. Differential Equations
, vol.1
, pp. 199-243
-
-
Foias, C.1
Sell, G.R.2
Titi, E.S.3
-
21
-
-
33746636159
-
Gevrey class regularity for the solutions of the Navier-Stokes equations
-
C. FOIAS AND R. TEMAM, Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funct. Anal., 87 (1989), pp. 359-369.
-
(1989)
J. Funct. Anal.
, vol.87
, pp. 359-369
-
-
Foias, C.1
Temam, R.2
-
23
-
-
0001946354
-
Some practical experience with the time integration of dissipative equations
-
B. GARCÍA-ARCHILLA, Some practical experience with the time integration of dissipative equations, J. Comput. Phys., 122 (1995), pp. 25-29.
-
(1995)
J. Comput. Phys.
, vol.122
, pp. 25-29
-
-
García-Archilla, B.1
-
24
-
-
21844490673
-
Time integration of the nonlinear Galerkin method
-
B. GARCÍA-ARCHILLA AND J. DE FRUTOS, Time integration of the nonlinear Galerkin method, IMA J. Numer. Anal., 15 (1995), pp. 221-244.
-
(1995)
IMA J. Numer. Anal.
, vol.15
, pp. 221-244
-
-
García-Archilla, B.1
De Frutos, J.2
-
26
-
-
51249168861
-
Computational efficiency and approximate inertial manifolds for a Bénard convection system
-
M. D. GRAHAM, P. H. STEEN, AND E. S. TITI, Computational efficiency and approximate inertial manifolds for a Bénard convection system, J. Nonlinear Sci., 3 (1993), pp. 153-167.
-
(1993)
J. Nonlinear Sci.
, vol.3
, pp. 153-167
-
-
Graham, M.D.1
Steen, P.H.2
Titi, E.S.3
-
27
-
-
0003293929
-
Asymptotic Behavior of Dissipative Systems
-
AMS, Providence, RI
-
J. HALE, Asymptotic Behavior of Dissipative Systems, Math. Surveys Monogr., 25, AMS, Providence, RI, 1988.
-
(1988)
Math. Surveys Monogr.
, vol.25
-
-
Hale, J.1
-
28
-
-
0027833885
-
On the question of turbulence modelling by approximate inertial manifolds and the non-linear Galerkin method
-
J. G. HEYWOOD AND R. RANNACHER, On the question of turbulence modelling by approximate inertial manifolds and the non-linear Galerkin method, SIAM J. Numer. Anal., 30 (1993), pp. 1603-1621.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1603-1621
-
-
Heywood, J.G.1
Rannacher, R.2
-
29
-
-
0025445794
-
A nonlinear Galerkin method for the Navier-Stokes equations
-
F. JAUBERTEAU, C. ROSIER, AND R. TEMAM, A nonlinear Galerkin method for the Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 8 (1990), pp. 245-260.
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.8
, pp. 245-260
-
-
Jauberteau, F.1
Rosier, C.2
Temam, R.3
-
30
-
-
34047228827
-
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
-
M. S. JOLLY, I. G. KEVREKIDIS, AND E. S. TITI, Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations, Phys. D, 44 (1990), pp. 38-60.
-
(1990)
Phys. D
, vol.44
, pp. 38-60
-
-
Jolly, M.S.1
Kevrekidis, I.G.2
Titi, E.S.3
-
31
-
-
0001630939
-
Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation
-
M. S. JOLLY, I. G. KEVREKIDIS, AND E. S. TITI, Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation, J. Dynam. Differential Equations, 3 (1991), pp. 179-197.
-
(1991)
J. Dynam. Differential Equations
, vol.3
, pp. 179-197
-
-
Jolly, M.S.1
Kevrekidis, I.G.2
Titi, E.S.3
-
32
-
-
34247177026
-
On the effectiveness of the approximate inertial manifold - A computational study
-
D. A. JONES, L. G. MARGOLIN, AND E. S. TITI, On the effectiveness of the approximate inertial manifold - A computational study, Theoret. Comput. Fluid Dynamics, 7 (1995), pp. 243-260.
-
(1995)
Theoret. Comput. Fluid Dynamics
, vol.7
, pp. 243-260
-
-
Jones, D.A.1
Margolin, L.G.2
Titi, E.S.3
-
33
-
-
0040678264
-
A remark on quasi-stationary approximate inertial manifolds for the 2D Navier-Stokes equations
-
D. A. JONES AND E. S. TITI, A remark on quasi-stationary approximate inertial manifolds for the 2D Navier-Stokes equations, SIAM J. Math. Anal., 25 (1995), pp. 894-914.
-
(1995)
SIAM J. Math. Anal.
, vol.25
, pp. 894-914
-
-
Jones, D.A.1
Titi, E.S.2
-
34
-
-
0030143852
-
1 approximating inertial manifolds for dissipative nonlinear equations
-
1 approximating inertial manifolds for dissipative nonlinear equations, J. Differential Equations, 127 (1996), pp. 54-86.
-
(1996)
J. Differential Equations
, vol.127
, pp. 54-86
-
-
Jones, D.A.1
Titi, E.S.2
-
35
-
-
0000055155
-
An approximate inertial manifold for computing Burgers' equation
-
L. MARGOLIN AND D. A. JONES, An approximate inertial manifold for computing Burgers' equation, Phys. D, 60 (1992), pp. 175-184.
-
(1992)
Phys. D
, vol.60
, pp. 175-184
-
-
Margolin, L.1
Jones, D.A.2
-
36
-
-
0000547750
-
Nonlinear Galerkin methods
-
M. MARION AND R. TEMAM, Nonlinear Galerkin methods, SIAM J. Numer. Anal., 26 (1989), pp. 1139-1157.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 1139-1157
-
-
Marion, M.1
Temam, R.2
-
37
-
-
0000752968
-
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements
-
M. MARION AND J. C. XU, Error estimates on a new nonlinear Galerkin method based on two-grid finite elements, SIAM J. Numer. Anal., 32 (1995), pp. 1170-1184.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1170-1184
-
-
Marion, M.1
Xu, J.C.2
-
38
-
-
0001766450
-
Valeurs propers d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
-
G. METIVIER, Valeurs propers d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces, J. Math. Pure. Appl., 57 (1978), pp. 133-156.
-
(1978)
J. Math. Pure. Appl.
, vol.57
, pp. 133-156
-
-
Metivier, G.1
-
39
-
-
85033910629
-
-
Master Science thesis, Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain
-
J. Novo, Eficiencia computacional de variedades inerciales aproximadas, Master Science thesis, Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain, 1995.
-
(1995)
Eficiencia Computacional de Variedades Inerciales Aproximadas
-
-
Novo, J.1
-
40
-
-
0348110762
-
On the semi-discrete finite element approximation for the nonstationary Navier-Stokes equation
-
H. OKAMOTO, On the semi-discrete finite element approximation for the nonstationary Navier-Stokes equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 29 (1982), pp. 613-651.
-
(1982)
J. Fac. Sci. Univ. Tokyo Sect. IA Math.
, vol.29
, pp. 613-651
-
-
Okamoto, H.1
-
41
-
-
0001550183
-
Enslaved finite difference approximations for quasigeostrophic shallow flows
-
A.C. POJE, D.A. JONES, AND L.G. MARGOLIN, Enslaved finite difference approximations for quasigeostrophic shallow flows, Phys. D, 98 (1996), pp. 559-573.
-
(1996)
Phys. D
, vol.98
, pp. 559-573
-
-
Poje, A.C.1
Jones, D.A.2
Margolin, L.G.3
-
42
-
-
0001012617
-
Nonlinear Galerkin methods using Chebyshev or Legendre polynomials I. One-dimensional case
-
J. SHEN AND R. TEMAM, Nonlinear Galerkin methods using Chebyshev or Legendre polynomials I. One-dimensional case, SIAM J. Numer. Anal., 32 (1995), pp. 215-234.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 215-234
-
-
Shen, J.1
Temam, R.2
-
43
-
-
0003278399
-
Infinite Dimensional Dynamical Systems in Mechanics and Physics
-
Springer-Verlag, New York
-
R. TEMAM, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci. 68, Springer-Verlag, New York, 1988.
-
(1988)
Appl. Math. Sci.
, vol.68
-
-
Temam, R.1
-
44
-
-
0011603756
-
Attractors for the Navier-Stokes equations: Localization and approximation
-
R. TEMAM, Attractors for the Navier-Stokes equations: Localization and approximation, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 36 (1989), pp. 629-647.
-
(1989)
J. Fac. Sci. Univ. Tokyo Sect. IA Math.
, vol.36
, pp. 629-647
-
-
Temam, R.1
-
45
-
-
84908785301
-
Dynamical systems, turbulence and the numerical solution of the Navier-Stokes equations
-
Proc. 11th Internat. Conference on Numerical Methods in Fluid Dynamics (Williamsburg), D. Dwoyer and R. Voigt, eds., Springer-Verlag, New York
-
R. TEMAM, Dynamical systems, turbulence and the numerical solution of the Navier-Stokes equations, in Proc. 11th Internat. Conference on Numerical Methods in Fluid Dynamics (Williamsburg), D. Dwoyer and R. Voigt, eds., Lecture Notes in Phys. 323, Springer-Verlag, New York, 1990.
-
(1990)
Lecture Notes in Phys.
, vol.323
-
-
Temam, R.1
-
46
-
-
0025450096
-
On approximate inertial manifolds to the Navier-Stokes equations
-
E. S. TITI, On approximate inertial manifolds to the Navier-Stokes equations, J. Math. Anal. Appl., 149 (1990), pp. 540-557.
-
(1990)
J. Math. Anal. Appl.
, vol.149
, pp. 540-557
-
-
Titi, E.S.1
-
47
-
-
0040067762
-
Numerical solutions of a nonlinear dissipative system using a pseudospectral method and inertial manifolds
-
R. WALLACE AND D. SLOAN, Numerical solutions of a nonlinear dissipative system using a pseudospectral method and inertial manifolds, SIAM J. Sci. Comput., 16 (1995), pp. 1049-1070.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 1049-1070
-
-
Wallace, R.1
Sloan, D.2
|