-
4
-
-
0034724367
-
Optimal prediction and the Mori-Zwanzig representation of irreversible processes
-
2968-73
-
Chorin A J, Hald O H and Kupferman R 2000 Optimal prediction and the Mori-Zwanzig representation of irreversible processes Proc. Natl Acad. Sci. USA 97 2968-73
-
(2000)
Proc. Natl Acad. Sci. USA
, vol.97
, pp. 2968-2973
-
-
Chorin, A.J.1
Hald, O.H.2
Kupferman, R.3
-
6
-
-
78149288760
-
Effective dynamics using conditional expectations
-
Legoll F and Lelièvre T 2010 Effective dynamics using conditional expectations Nonlinearity 23 2131
-
(2010)
Nonlinearity
, vol.23
, Issue.9
, pp. 2131
-
-
Legoll, F.1
Lelièvre, T.2
-
7
-
-
80052883821
-
Balanced model reduction of partially observed Langevin equations: An averaging principle
-
463-90
-
Hartmann C 2011 Balanced model reduction of partially observed Langevin equations: an averaging principle Math. Comput. Modelling Dyn. Syst. 17 463-90
-
(2011)
Math. Comput. Modelling Dyn. Syst.
, vol.17
, pp. 463-490
-
-
Hartmann, C.1
-
8
-
-
84880595754
-
An optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamics
-
569-97
-
Turkington B 2013 An optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamics J. Stat. Phys. 152 569-97
-
(2013)
J. Stat. Phys.
, vol.152
, pp. 569-597
-
-
Turkington, B.1
-
9
-
-
84860312890
-
Challenges in climate science and contemporary applied mathematics
-
920-48
-
Majda A J 2012 Challenges in climate science and contemporary applied mathematics Comm. Pure Appl. Math. 65 920-48
-
(2012)
Comm. Pure Appl. Math.
, vol.65
, pp. 920-948
-
-
Majda, A.J.1
-
10
-
-
3042793188
-
Extracting macroscopic dynamics: Model problems and algorithms
-
R55-127
-
Givon D, Kupferman R and Stuart A M 2004 Extracting macroscopic dynamics: model problems and algorithms Nonlinearity 17 R55-127
-
(2004)
Nonlinearity
, vol.17
, Issue.6
, pp. R55-R127
-
-
Givon, D.1
Kupferman, R.2
Stuart, A.M.3
-
11
-
-
0036696910
-
String method for the study of rare events
-
E W, Ren W and Vanden-Eijnden E 2002 String method for the study of rare events Phys. Rev. B 66 052301
-
(2002)
Phys. Rev.
, vol.66
, Issue.5
-
-
Ren, W.1
Vanden-Eijnden, E.2
-
12
-
-
17544365232
-
Finite temperature string method for the study of rare events
-
6688-93
-
E W, Ren W and Vanden-Eijnden E 2005 Finite temperature string method for the study of rare events J. Phys. Chem. B 109 6688-93
-
(2005)
J. Phys. Chem.
, vol.109
, pp. 6688-6693
-
-
Ren, W.1
Vanden-Eijnden, E.2
-
14
-
-
77955584708
-
Maximum flux transition paths of conformational change
-
2411-23
-
Zhao R, Shen J and Skeel R D 2010 Maximum flux transition paths of conformational change J. Chem. Theory Comput. 6 2411-23
-
(2010)
J. Chem. Theory Comput.
, vol.6
, pp. 2411-2423
-
-
Zhao, R.1
Shen, J.2
Skeel, R.D.3
-
16
-
-
77951688892
-
Transition-path theory and path-finding algorithms for the study of rare events
-
391-420
-
E W and Vanden-Eijnden E 2010 Transition-path theory and path-finding algorithms for the study of rare events Annu. Rev. Phys. Chem. 61 391-420
-
(2010)
Annu. Rev. Phys. Chem.
, vol.61
, pp. 391-420
-
-
Vanden-Eijnden, E.1
-
17
-
-
84919652788
-
Applications of the cross-entropy method to importance sampling and optimal control of diffusions
-
A2654-72
-
Zhang W, Wang H, Hartmann C, Weber M and Schütte Ch 2014 Applications of the cross-entropy method to importance sampling and optimal control of diffusions SIAM J. Sci. Comput. 36 A2654-72
-
(2014)
SIAM J. Sci. Comput.
, vol.36
, pp. A2654-A2672
-
-
Zhang, W.1
Wang, H.2
Hartmann, C.3
Weber, M.4
Ch, S.5
-
21
-
-
84865692627
-
Optimal control of molecular dynamics using Markov state models
-
259-82
-
Schütte Ch, Winkelmann S and Hartmann C 2012 Optimal control of molecular dynamics using Markov state models Math. Program. Ser. B 134 259-82
-
(2012)
Math. Program. Ser.
, vol.134
, pp. 259-282
-
-
Ch, S.1
Winkelmann, S.2
Hartmann, C.3
-
22
-
-
22244431981
-
Importance sampling, large deviations, and differential games
-
481-508
-
Dupuis P and Wang H 2004 Importance sampling, large deviations, and differential games Stoch. Stoch. Rep. 76 481-508
-
(2004)
Stoch. Stoch. Rep.
, vol.76
, pp. 481-508
-
-
Dupuis, P.1
Wang, H.2
-
23
-
-
84868569168
-
Efficient rare event simulation by optimal nonequilibrium forcing
-
Hartmann C and Schütte Ch 2012 Efficient rare event simulation by optimal nonequilibrium forcing J. Stat. Mech. P11004
-
(2012)
J. Stat. Mech.
, vol.2012
, Issue.11
-
-
Hartmann, C.1
Ch, S.2
-
24
-
-
84872687177
-
Large deviations and importance sampling for systems of slow-fast motion
-
123-61
-
Spiliopoulos K 2013 Large deviations and importance sampling for systems of slow-fast motion Appl. Math. Optim. 67 123-61
-
(2013)
Appl. Math. Optim.
, vol.67
, pp. 123-161
-
-
Spiliopoulos, K.1
-
25
-
-
84941585040
-
Escaping from an attractor: Importance sampling and rest points, part i
-
2909-58
-
Spiliopoulos K, Dupuis P and Zhou X 2015 Escaping from an attractor: Importance sampling and rest points, part I Ann. Appl. Probab. 25 2909-58
-
(2015)
Ann. Appl. Probab.
, vol.25
, pp. 2909-2958
-
-
Spiliopoulos, K.1
Dupuis, P.2
Zhou, X.3
-
26
-
-
84867596369
-
Rare event simulation of small noise diffusions
-
1770-803
-
Vanden-Eijnden E and Weare J 2012 Rare event simulation of small noise diffusions Commun. Pure Appl. Math. 65 1770-803
-
(2012)
Commun. Pure Appl. Math.
, vol.65
, pp. 1770-1803
-
-
Vanden-Eijnden, E.1
Weare, J.2
-
30
-
-
0032237648
-
A variational representation for certain functionals of Brownian motion
-
1641-59
-
Boué M and Dupuis P 1998 A variational representation for certain functionals of Brownian motion Ann. Probab. 26 1641-59
-
(1998)
Ann. Probab.
, vol.26
, pp. 1641-1659
-
-
Boué, M.1
Dupuis, P.2
-
33
-
-
84982972116
-
A sparse Markov chain approximation of LQ-type stochastic control problems
-
(at press)
-
Banisch R and Hartmann C 2016 A sparse Markov chain approximation of LQ-type stochastic control problems Math. Control Relat. Fields (at press)
-
(2016)
Math. Control Relat. Fields
-
-
Banisch, R.1
Hartmann, C.2
-
35
-
-
38949150015
-
Projection of diffusions on submanifolds: Application to mean force computation
-
371-408
-
Ciccotti G, Lelièvre T and Vanden-Eijnden E 2008 Projection of diffusions on submanifolds: Application to mean force computation Commun. Pure Appl. Math. 61 371-408
-
(2008)
Commun. Pure Appl. Math.
, vol.61
, pp. 371-408
-
-
Ciccotti, G.1
Lelièvre, T.2
Vanden-Eijnden, E.3
-
36
-
-
38349056191
-
Model reduction in classical molecular dynamics
-
PhD Dissertation Freie Universitadie;t Berlin
-
Hartmann C 2007 Model reduction in classical molecular dynamics PhD Dissertation Fachbereich Mathematik und Informatik, Freie Universität Berlin
-
(2007)
Fachbereich Mathematik und Informatik
-
-
Hartmann, C.1
-
38
-
-
34247881948
-
Simplified and improved string method for computing the minimum energy paths in barrier-crossing events
-
E W, Ren W and Vanden-Eijnden E 2007 Simplified and improved string method for computing the minimum energy paths in barrier-crossing events J. Chem. Phys. 126 164103
-
(2007)
J. Chem. Phys.
, vol.126
-
-
Ren, W.1
Vanden-Eijnden, E.2
-
39
-
-
66049142191
-
Revisiting the finite temperature string method for the calculation of reaction tubes and free energies
-
Vanden-Eijnden E and Venturoli M 2009 Revisiting the finite temperature string method for the calculation of reaction tubes and free energies J. Chem. Phys. 130 194103
-
(2009)
J. Chem. Phys.
, vol.130
-
-
Vanden-Eijnden, E.1
Venturoli, M.2
-
41
-
-
0031256658
-
The MaxFlux algorithm for calculating variationally optimized reaction paths for conformational transitions in many body systems at finite temperature
-
5000-6
-
Huo S and Straub J E 1997 The MaxFlux algorithm for calculating variationally optimized reaction paths for conformational transitions in many body systems at finite temperature J. Chem. Phys. 107 5000-6
-
(1997)
J. Chem. Phys.
, vol.107
, pp. 5000-5006
-
-
Huo, S.1
Straub, J.E.2
-
42
-
-
2442642553
-
Minimal action method for the study of rare events
-
0637-56
-
E W, Ren W and Vanden-Eijnden E 2004 Minimal action method for the study of rare events Commun. Pure Appl. Math. 57 0637-56
-
(2004)
Commun. Pure Appl. Math.
, vol.57
, pp. 0637-0656
-
-
Ren, W.1
Vanden-Eijnden, E.2
-
43
-
-
49449085444
-
The geometric minimum action method: A least action principle on the space of curves
-
1052-117
-
Heymann M and Vanden-Eijnden E 2008 The geometric minimum action method: a least action principle on the space of curves Commun. Pure Appl. Math. 61 1052-117
-
(2008)
Commun. Pure Appl. Math.
, vol.61
, pp. 1052-1117
-
-
Heymann, M.1
Vanden-Eijnden, E.2
-
44
-
-
0002122384
-
Reaction paths on multidimensional energy hypersurfaces
-
1-13
-
Müller K 1980 Reaction paths on multidimensional energy hypersurfaces Angew. Chem. Int. Ed. Engl. 19 1-13
-
(1980)
Angew. Chem. Int. Ed. Engl.
, vol.19
, pp. 1-13
-
-
Müller, K.1
-
45
-
-
0003067207
-
Location of saddle points and minimum energy paths by a constrained simplex optimization procedure
-
75-93 Theor. Chim. Acta
-
Müller K and Brown L 1979 Location of saddle points and minimum energy paths by a constrained simplex optimization procedure Theor. Chem. Acc. 53 75-93 Theor. Chim. Acta
-
(1979)
Theor. Chem. Acc.
, vol.53
, pp. 75-93
-
-
Müller, K.1
Brown, L.2
-
46
-
-
79961242531
-
A structure-preserving numerical discretization of reversible diffusions
-
1051-72
-
Latorre J C, Metzner Ph, Hartmann C and Schütte C 2011 A structure-preserving numerical discretization of reversible diffusions Commun. Math. Sci. 9 1051-72
-
(2011)
Commun. Math. Sci.
, vol.9
, pp. 1051-1072
-
-
Latorre, J.C.1
Ph, M.2
Hartmann, C.3
Schütte, C.4
-
47
-
-
25144501046
-
-
www.mcs.anl.gov/petsc
-
Balay S et al 2015 PETSc www.mcs.anl.gov/petsc
-
(2015)
PETSc
-
-
Balay, S.1
-
48
-
-
0000005482
-
Bi-CGSTAB: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems
-
631-44
-
van der Vorst H A 1992 Bi-CGSTAB: a fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems SIAM J. Sci. Stat. Comput. 13 631-44
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 631-644
-
-
Van Der Vorst, H.A.1
-
49
-
-
84980013932
-
Importance sampling in path space for diffusion processes with slow-fast variables
-
submitted (arXiv: 1502.07899)
-
Hartmann C, Schütte Ch, Weber M and Zhang W 2015 Importance sampling in path space for diffusion processes with slow-fast variables Probab. Theory. Rel. Fields submitted (arXiv: 1502.07899)
-
(2015)
Probab. Theory. Rel. Fields
-
-
Hartmann, C.1
Ch, S.2
Weber, M.3
Zhang, W.4
-
50
-
-
0036424048
-
Transition path sampling: Throwing ropes over rough mountain passes, in the dark
-
291-318
-
Bolhuis P G, Chandler D, Dellago C and Geissler P L 2002 Transition path sampling: throwing ropes over rough mountain passes, in the dark Annu. Rev. Phys. Chem. 53 291-318
-
(2002)
Annu. Rev. Phys. Chem.
, vol.53
, pp. 291-318
-
-
Bolhuis, P.G.1
Chandler, D.2
Dellago, C.3
Geissler, P.L.4
-
51
-
-
84857918320
-
Gamma limits for transition paths of maximal probability
-
955-74
-
Pinskii F, Stuart A M and Theil F 2012 Gamma limits for transition paths of maximal probability J. Stat. Phys. 146 955-74
-
(2012)
J. Stat. Phys.
, vol.146
, pp. 955-974
-
-
Pinskii, F.1
Stuart, A.M.2
Theil, F.3
-
52
-
-
77952729913
-
Transition paths in molecules at finite temperature
-
Pinski F J and Stuart A M 2010 Transition paths in molecules at finite temperature J. Chem. Phys. 132 184104
-
(2010)
J. Chem. Phys.
, vol.132
-
-
Pinski, F.J.1
Stuart, A.M.2
-
54
-
-
84946050066
-
Non-asymptotic performance analysis of importance sampling schemes for small noise diffusions
-
797-810
-
Spiliopoulos K 2015 Non-asymptotic performance analysis of importance sampling schemes for small noise diffusions J. Appl. Probab. 52 797-810
-
(2015)
J. Appl. Probab.
, vol.52
, pp. 797-810
-
-
Spiliopoulos, K.1
|