-
2
-
-
34547539797
-
Theoretical and numerical comparison of some sampling methods for molecular dynamics
-
Cances, Eric; Legoll, Frederic; Stoltz, Gabriel, Theoretical and numerical comparison of some sampling methods for molecular dynamics. ESAIM: Mathematical Modelling and Numerical Analysis, 41, no. 2 (2007), pp. 351-389.
-
(2007)
ESAIM: Mathematical Modelling and Numerical Analysis
, vol.41
, Issue.2
, pp. 351-389
-
-
Cances, E.1
Legoll, F.2
Stoltz, G.3
-
4
-
-
53049096229
-
A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model
-
Cheng, W.; Wang, X., A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model, Applied Mathematics Letters, 21 (2008), no. 12, 1281-1285.
-
(2008)
Applied Mathematics Letters
, vol.21
, Issue.12
, pp. 1281-1285
-
-
Cheng, W.1
Wang, X.2
-
5
-
-
61349176737
-
A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model
-
DOI.10.1137/080713501.
-
Cheng, W.; Wang, X., A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model, SIAM J. Numer. Anal., vol. 47, no.1, 250-270, 2008. DOI.10.1137/080713501.
-
(2008)
SIAM J. Numer. Anal.
, vol.47
, Issue.1
, pp. 250-270
-
-
Cheng, W.1
Wang, X.2
-
6
-
-
0003289294
-
Error estimates of the Markov finite approximation of the Frobenius-Perron operator
-
Chiu, C.; Du, Q.; Li, T.Y., Error estimates of the Markov finite approximation of the Frobenius-Perron operator, Nonlinear Anal. 19(1992), no.4, 291-308.
-
(1992)
Nonlinear Anal
, vol.19
, Issue.4
, pp. 291-308
-
-
Chiu, C.1
Du, Q.2
Li, T.Y.3
-
7
-
-
0032589534
-
Infinite Prandtl number convection
-
Constantin, P.; Doering, C.R., Infinite Prandtl number convection, J. Stat. Phys. 94 (1999), no. 1-2, 159-172.
-
(1999)
J. Stat. Phys.
, vol.94
, Issue.1-2
, pp. 159-172
-
-
Constantin, P.1
Doering, C.R.2
-
8
-
-
33748268887
-
Bounds on vertical heat transport for infinite Prandtl number Rayleigh-Bénard convection
-
Doering, C.R.; Otto, F.; Reznikoff, M.G., Bounds on vertical heat transport for infinite Prandtl number Rayleigh-Bénard convection, J. Fluid Mech. (2006), vol. 560, pp. 229-241.
-
(2006)
J. Fluid Mech.
, vol.560
, pp. 229-241
-
-
Doering, C.R.1
Otto, F.2
Reznikoff, M.G.3
-
9
-
-
37749017678
-
The Andersen thermostat in molecular dynamics
-
E, W.; Li, D., The Andersen thermostat in molecular dynamics, Comm. Pure Appl. Math. 61 (2008), 96-136.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, pp. 96-136
-
-
E.Li, D.1
-
10
-
-
0001336644
-
Dissipativity of numerical schemes
-
Foias, C., Jolly, M., Kevrekidis, I.G. and Titi, E.S., Dissipativity of numerical schemes, Nonlinearity 4 (1991), 591-613.
-
(1991)
Nonlinearity
, vol.4
, pp. 591-613
-
-
Foias, C.1
Jolly, M.2
Kevrekidis, I.G.3
Titi, E.S.4
-
11
-
-
38149144940
-
On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation
-
Foias, C., Jolly, M., Kevrekidis, I.G. and Titi, E.S., On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation, Phys. Lett. A 186 (1994), 87-96.
-
(1994)
Phys. Lett. A
, vol.186
, pp. 87-96
-
-
Foias, C.1
Jolly, M.2
Kevrekidis, I.G.3
Titi, E.S.4
-
12
-
-
0013093504
-
Navier-Stokes equations and turbulence
-
Cambridge University Press, Cambridge.
-
Foias, C.; Manley, O.; Rosa, R.; Temam, R., Navier-Stokes equations and turbulence. Encyclopedia of Mathematics and its Applications, 83. Cambridge University Press, Cambridge, 2001.
-
(2001)
Encyclopedia of Mathematics and its Applications
, vol.83
-
-
Foias, C.1
Manley, O.2
Rosa, R.3
Temam, R.4
-
13
-
-
84968521933
-
On the convergence of a time discretization scheme for the Navier-Stokes equations
-
Geveci, T., On the convergence of a time discretization scheme for the Navier-Stokes equations, Math. Comp., 53 (1989), pp. 43-53.
-
(1989)
Math. Comp.
, vol.53
, pp. 43-53
-
-
Geveci, T.1
-
15
-
-
0022767064
-
Finite element approximation of the nonstationary Navier-Stokes problem II. Stability of solutions and error estimates uniform in time
-
Heywood, J.G.; Rannacher,;R.; Finite element approximation of the nonstationary Navier-Stokes problem. II. Stability of solutions and error estimates uniform in time. SIAMJ.Numer. Anal. 23 (1986), no. 4, 750-777.
-
(1986)
SIAMJ. Numer. Anal.
, vol.23
, Issue.4
, pp. 750-777
-
-
Heywood, J.G.1
Rannacher, R.2
-
16
-
-
0034288886
-
Approximation of the global attractor for the incompressible Navier-Stokes equations
-
Hill, A.T.; S̈uli, E., Approximation of the global attractor for the incompressible Navier-Stokes equations, IMA J. Numer. Anal., 20 (2000), 663-667.
-
(2000)
IMA J. Numer. Anal.
, vol.20
, pp. 663-667
-
-
Hill, A.T.1
S̈uli, E.2
-
17
-
-
0010599996
-
Persistence of Invariant Sets for Dissipative Evolution Equations
-
Jones, D.A.; Stuart, A.M.; Titi, E.S., Persistence of Invariant Sets for Dissipative Evolution Equations, J. Math. Anal. Appl., 219, 479-502 (1998).
-
(1998)
J. Math. Anal. Appl.
, vol.219
, pp. 479-502
-
-
Jones, D.A.1
Stuart, A.M.2
Titi, E.S.3
-
18
-
-
0036035323
-
On the global stability of a temporal discretization scheme for the Navier-Stokes equations
-
Ju, N., On the global stability of a temporal discretization scheme for the Navier-Stokes equations, IMA J. Numer. Anal., 22 (2002), pp. 577-597.
-
(2002)
IMA J. Numer. Anal.
, vol.22
, pp. 577-597
-
-
Ju, N.1
-
19
-
-
0039567664
-
Turbulent heat flow: Structures and scaling
-
Kadanoff, L.P., Turbulent heat flow: Structures and scaling, Physics Today, 54, no. 8, pp. 34-39, 2001.
-
(2001)
Physics Today
, vol.54
, Issue.8
, pp. 34-39
-
-
Kadanoff, L.P.1
-
20
-
-
0037944746
-
The long-time behavior of finite-element approximations of solutions to semilinear parabolic problems
-
Larsson, S., The long-time behavior of finite-element approximations of solutions to semilinear parabolic problems. SIAM J. Numer. Anal. 26 (1989), no. 2, 348-365.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, Issue.2
, pp. 348-365
-
-
Larsson, S.1
-
21
-
-
0004116528
-
-
2nd, ed., Springer-Verlag, New York.
-
Lasota, A.; Mackey, M.C., Chaos, Fractals, and Noise, Stochastic Aspects of Dynamics, 2nd, ed., Springer-Verlag, New York, 1994.
-
(1994)
Chaos, Fractals, and Noise Stochastic Aspects of Dynamics
-
-
Lasota, A.1
Mackey, M.C.2
-
23
-
-
84926139734
-
-
Cambridge University Press, Cambridge, England.
-
Majda, A.J.; Wang, X., Nonlinear Dynamics and Statistical Theory for Basic Geophysical Flows, Cambridge University Press, Cambridge, England, (2006).
-
(2006)
Nonlinear Dynamics and Statistical Theory for Basic Geophysical Flows
-
-
Majda, A.J.1
Wang, X.2
-
24
-
-
85040800902
-
-
English ed. updated, augmented and rev. by the authors. MIT Press, Cambridge, Mass
-
Monin, A.S.; Yaglom, A.M., Statistical fluid mechanics; mechanics of turbulence, English ed. updated, augmented and rev. by the authors. MIT Press, Cambridge, Mass., 1975.
-
(1975)
Statistical fluid mechanics; mechanics of turbulence
-
-
Monin, A.S.1
Yaglom, A.M.2
-
25
-
-
0038815248
-
Global attractors in partial differential equations
-
North-Holland, Amsterdam
-
Raugel, G., Global attractors in partial differential equations. Handbook of dynamical systems, Vol. 2, 885-982, North-Holland, Amsterdam, 2002.
-
(2002)
Handbook of dynamical systems
, vol.2
, pp. 885-982
-
-
Raugel, G.1
-
26
-
-
0001444647
-
Backward error analysis for numerical integrators
-
Reich, S., Backward error analysis for numerical integrators. SIAM J. Numer. Anal., vol. 36, no. 5, pp. 1549-1570, 1999.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, Issue.5
, pp. 1549-1570
-
-
Reich, S.1
-
27
-
-
0002607683
-
Convergence of approximate attractors for a fully discrete system for reactiondiffusion equations
-
Shen, J., Convergence of approximate attractors for a fully discrete system for reactiondiffusion equations, Numer. Funct. Anal. and Optimiz., 10 (11 & 12) pp. 1213-1234 (1989).
-
(1989)
Numer. Funct. Anal. and Optimiz.
, vol.10
, Issue.11-12
, pp. 1213-1234
-
-
Shen, J.1
-
28
-
-
0001092754
-
Long time stability and convergences for the fully discrete nonlinear Galerkin methods
-
Shen, J., Long time stability and convergences for the fully discrete nonlinear Galerkin methods, Appl. Anal., 38 (1990), pp. 201-229.
-
(1990)
Appl. Anal.
, vol.38
, pp. 201-229
-
-
Shen, J.1
-
29
-
-
34248229076
-
-
Edited by R. Devore, A. Iserles and E. Suli Cambridge University Press,
-
Sigurgeirsson, H.; Stuart, A.M., Statistics from computations, in Foundations of Computational Mathematics, Edited by R. Devore, A. Iserles and E. Suli, pp. 323-344, Cambridge University Press, 2001.
-
(2001)
Statistics from computations in Foundations of Computational Mathematics
, pp. 323-344
-
-
Sigurgeirsson, H.1
Stuart, A.M.2
-
33
-
-
33847658879
-
On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations
-
Tone, F.; Wirosoetisno, D., On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations. SIAM J. Num. Anal. 44 (2006), no. 1, 29-40.
-
(2006)
SIAM J. Num. Anal.
, vol.44
, Issue.1
, pp. 29-40
-
-
Tone, F.1
Wirosoetisno, D.2
-
35
-
-
19844381193
-
Ergodicity and the numerical simulation of Hamiltonian systems
-
Tupper, P.F., Ergodicity and the numerical simulation of Hamiltonian systems. SIAM J. Applied Dynamical Systems, vol. 4, no.3, pp. 563-587, 2005.
-
(2005)
SIAM J. Applied Dynamical Systems
, vol.4
, Issue.3
, pp. 563-587
-
-
Tupper, P.F.1
-
38
-
-
4544241853
-
Infinite Prandtl Number Limit of Rayleigh-B'enard Convection
-
Wang, X., Infinite Prandtl Number Limit of Rayleigh-B'enard Convection. Comm. Pure and Appl. Math., vol. 57, issue 10, (2004), 1265-1282.
-
(2004)
Comm. Pure and Appl. Math.
, vol.57
, Issue.10
, pp. 1265-1282
-
-
Wang, X.1
-
39
-
-
52349104258
-
Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number
-
DOI: 10.1002/cpa.20214.
-
Wang, X., Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Comm. Pure and Appl. Math., 61 (2008), no. 6, 789-815. DOI: 10.1002/cpa.20214.
-
(2008)
Comm. Pure and Appl. Math.
, vol.61
, Issue.6
, pp. 789-815
-
-
Wang, X.1
-
40
-
-
61349158111
-
Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems. Dedicated to Prof. Li Ta-Tsien on the occasion of his 70th birthday
-
doi:10.3934/dcds.2009.23.521
-
Wang, X., Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems. Dedicated to Prof. Li Ta-Tsien on the occasion of his 70th birthday. Discrete and Continuous Dynamical Systems, A. Vol. 23, no.1/2, pp. 521-540, 2009. doi:10.3934/dcds.2009.23.521.
-
(2009)
Discrete and Continuous Dynamical Systems, A
, vol.23
, Issue.1-2
, pp. 521-540
-
-
Wang, X.1
|