-
2
-
-
0036499020
-
Error and uncertainty in modeling and simulation
-
W.L. Oberkampf, S.M. DeLand, B.M. Rutherford, K.V. Diegert, and K.F. Alvin Error and uncertainty in modeling and simulation Reliab. Eng. Syst. Saf. 75 3 2002 333 357
-
(2002)
Reliab. Eng. Syst. Saf.
, vol.75
, Issue.3
, pp. 333-357
-
-
Oberkampf, W.L.1
Deland, S.M.2
Rutherford, B.M.3
Diegert, K.V.4
Alvin, K.F.5
-
4
-
-
0028131950
-
Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability
-
F.O. Hoffman, and J.S. Hammonds Propagation of uncertainty in risk assessments: the need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability Risk Anal. 14 5 1994 707 712
-
(1994)
Risk Anal.
, vol.14
, Issue.5
, pp. 707-712
-
-
Hoffman, F.O.1
Hammonds, J.S.2
-
6
-
-
0000516376
-
Upper and lower probabilities induced by a multi-valued mapping
-
A. Dempster Upper and lower probabilities induced by a multi-valued mapping Ann. Math. Stat. 38 2 1967 325 339
-
(1967)
Ann. Math. Stat.
, vol.38
, Issue.2
, pp. 325-339
-
-
Dempster, A.1
-
9
-
-
1542559499
-
Constructing Probability Boxes and Dempster-Shafer Structures
-
Albuquerque, NM
-
S.Ferson, V. Kreinovich L. Ginzburg, D.S. Myers, K. Sentz, Constructing Probability Boxes and Dempster-Shafer Structures, Sandia National Laboratories Technical Report SAND2002-4015, Albuquerque, NM, 2003.
-
(2003)
Sandia National Laboratories Technical Report SAND2002-4015
-
-
Ferson, S.1
Kreinovich Ginzburg L, V.2
Myers, D.S.3
Sentz, K.4
-
10
-
-
0034190734
-
The theory of interval-probability as a unifying concept for uncertainty
-
K. Weichselberger The theory of interval-probability as a unifying concept for uncertainty Int. J. Approx. Reason. 24 2-3 2000 149 170
-
(2000)
Int. J. Approx. Reason.
, vol.24
, Issue.23
, pp. 149-170
-
-
Weichselberger, K.1
-
13
-
-
3042758005
-
Clouds, fuzzy sets, and probability intervals
-
A. Neumaier Clouds, fuzzy sets, and probability intervals Reliable Computing 10 4 2004 249 272
-
(2004)
Reliable Computing
, vol.10
, Issue.4
, pp. 249-272
-
-
Neumaier, A.1
-
15
-
-
78149273906
-
Imprecise probabilities based on generalized intervals for system reliability assessment
-
Y. Wang Imprecise probabilities based on generalized intervals for system reliability assessment Int. J. Reliab. Saf. 4 4 2010 319 342
-
(2010)
Int. J. Reliab. Saf.
, vol.4
, Issue.4
, pp. 319-342
-
-
Wang, Y.1
-
16
-
-
0343026462
-
Modal intervals
-
E. Gardeñes, M.Á. Sainz, L. Jorba, R. Calm, R. Estela, H. Mielgo, and A. Trepat Modal intervals Reliable Computing 7 2 2001 77 111
-
(2001)
Reliable Computing
, vol.7
, Issue.2
, pp. 77-111
-
-
Gardeñes, E.1
Sainz, M.Á.2
Jorba, L.3
Calm, R.4
Estela, R.5
Mielgo, H.6
Trepat, A.7
-
19
-
-
0002411910
-
Interval analysis in the extended interval space IR
-
E. Kaucher Interval analysis in the extended interval space IR Computing Suppl. 2 1980 33 49
-
(1980)
Computing Suppl.
, vol.2
, pp. 33-49
-
-
Kaucher, E.1
-
20
-
-
33749266202
-
Numerical integration of the Langevin equation: Monte Carlo simulation
-
D.L. Ermak, and H. Buckholtz Numerical integration of the Langevin equation: Monte Carlo simulation J. Comput. Phys. 35 2 1980 169 182
-
(1980)
J. Comput. Phys.
, vol.35
, Issue.2
, pp. 169-182
-
-
Ermak, D.L.1
Buckholtz, H.2
-
21
-
-
0000034956
-
Fokker-Planck equations of stochastic acceleration: A study of numerical methods
-
B.T. Park, and V. Petrosian Fokker-Planck equations of stochastic acceleration: a study of numerical methods Astrophys. J. Suppl. Ser. 103 1996 255 267
-
(1996)
Astrophys. J. Suppl. Ser.
, vol.103
, pp. 255-267
-
-
Park, B.T.1
Petrosian, V.2
-
22
-
-
26444583020
-
Discrete singular convolution for the solution of the Fokker-Planck equation
-
G.W. Wei Discrete singular convolution for the solution of the Fokker-Planck equation J. Chem. Phys. 110 18 1999 8930 8942
-
(1999)
J. Chem. Phys.
, vol.110
, Issue.18
, pp. 8930-8942
-
-
Wei, G.W.1
-
23
-
-
34248139247
-
Nonstationary response envelope probability densities of nonlinear oscillators
-
P.D. Spanos, A. Sofi, and M. Di Paola Nonstationary response envelope probability densities of nonlinear oscillators ASME J. Appl. Mech. 74 2 2007 315 324
-
(2007)
ASME J. Appl. Mech.
, vol.74
, Issue.2
, pp. 315-324
-
-
Spanos, P.D.1
Sofi, A.2
Di Paola, M.3
-
24
-
-
35949030064
-
Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems
-
H. Haken Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems Rev. Mod. Phys. 47 1 1975 67 121
-
(1975)
Rev. Mod. Phys.
, vol.47
, Issue.1
, pp. 67-121
-
-
Haken, H.1
-
25
-
-
0000612277
-
Numerical evaluation of path-integral solutions to Fokker-Planck equations
-
M.F. Wehner, and W.G. Wolfer Numerical evaluation of path-integral solutions to Fokker-Planck equations Phys. Rev. A 27 5 1983 2663 2670
-
(1983)
Phys. Rev. A
, vol.27
, Issue.5
, pp. 2663-2670
-
-
Wehner, M.F.1
Wolfer, W.G.2
-
26
-
-
5544294159
-
Numerical evaluation of path-integral solutions to Fokker-Planck equations II. Restricted stochastic processes
-
M.F. Wehner, and W.G. Wolfer Numerical evaluation of path-integral solutions to Fokker-Planck equations II. Restricted stochastic processes Phys. Rev. A 28 5 1983 3003 3011
-
(1983)
Phys. Rev. A
, vol.28
, Issue.5
, pp. 3003-3011
-
-
Wehner, M.F.1
Wolfer, W.G.2
-
27
-
-
5544243785
-
Numerical evaluation of path-integral solutions to Fokker-Planck equations III. Time and functionally dependent coefficients
-
M.F. Wehner, and W.G. Wolfer Numerical evaluation of path-integral solutions to Fokker-Planck equations III. Time and functionally dependent coefficients Phys. Rev. A 35 4 1987 1795 1801
-
(1987)
Phys. Rev. A
, vol.35
, Issue.4
, pp. 1795-1801
-
-
Wehner, M.F.1
Wolfer, W.G.2
-
28
-
-
0027226628
-
Response statistics of nonlinear, compliant offshore structures by the path integral solution method
-
A. Naess, and J.M. Johnsen Response statistics of nonlinear, compliant offshore structures by the path integral solution method Probabilist. Eng. Mech. 8 2 1993 91 106
-
(1993)
Probabilist. Eng. Mech.
, vol.8
, Issue.2
, pp. 91-106
-
-
Naess, A.1
Johnsen, J.M.2
-
29
-
-
41549128849
-
Path integral solution for non-linear system enforced by Poisson white noise
-
M. Di Paola, and R. Santoro Path integral solution for non-linear system enforced by Poisson white noise Probabilist. Eng. Mech. 23 2-3 2008 164 169
-
(2008)
Probabilist. Eng. Mech.
, vol.23
, Issue.23
, pp. 164-169
-
-
Di Paola, M.1
Santoro, R.2
-
30
-
-
84856529788
-
An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators
-
I.A. Kougioumtzoglou, and P.D. Spanos An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators Probabilist. Eng. Mech. 28 2012 125 131
-
(2012)
Probabilist. Eng. Mech.
, vol.28
, pp. 125-131
-
-
Kougioumtzoglou, I.A.1
Spanos, P.D.2
-
32
-
-
0019210521
-
Fundamentals of SIGLA, in interval computing system over the completed set of intervals
-
E. Gardeñes, and A. Trepat Fundamentals of SIGLA, in interval computing system over the completed set of intervals Computing 24 2-3 1980 161 179
-
(1980)
Computing
, vol.24
, Issue.23
, pp. 161-179
-
-
Gardeñes, E.1
Trepat, A.2
-
33
-
-
0000417799
-
On directed interval arithmetic and its applications
-
S. Markov On directed interval arithmetic and its applications J. Univ. Comput. Sci. 1 7 1995 514 526
-
(1995)
J. Univ. Comput. Sci.
, vol.1
, Issue.7
, pp. 514-526
-
-
Markov, S.1
-
34
-
-
0035306019
-
Multiplication distributivity of proper and improper intervals
-
E.D. Popova Multiplication distributivity of proper and improper intervals Reliable Computing 7 2 2001 129 140
-
(2001)
Reliable Computing
, vol.7
, Issue.2
, pp. 129-140
-
-
Popova, E.D.1
-
36
-
-
0000374464
-
A comparison of some methods for solving linear interval equations
-
S. Ning, and R.B. Kearfott A comparison of some methods for solving linear interval equations SIAM J. Numer. Anal. 34 4 1997 1289 1305
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.4
, pp. 1289-1305
-
-
Ning, S.1
Kearfott, R.B.2
-
37
-
-
0005781413
-
A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
-
A. Neumaier A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations Reliable Computing 5 2 1999 131 136
-
(1999)
Reliable Computing
, vol.5
, Issue.2
, pp. 131-136
-
-
Neumaier, A.1
-
38
-
-
0036792971
-
A new technique in systems analysis under interval uncertainty and ambiguity
-
S.P. Shary A new technique in systems analysis under interval uncertainty and ambiguity Reliable Computing 8 5 2002 321 418
-
(2002)
Reliable Computing
, vol.8
, Issue.5
, pp. 321-418
-
-
Shary, S.P.1
-
39
-
-
0002342184
-
INTLAB-INTerval LABoratory
-
T. Csendes, Kluwer Academic Publishers
-
S.M. Rump INTLAB-INTerval LABoratory T. Csendes, Developments in Reliable Computing 1999 Kluwer Academic Publishers 77 104
-
(1999)
Developments in Reliable Computing
, pp. 77-104
-
-
Rump, S.M.1
-
40
-
-
0037961668
-
The application of stochastic resonance theory for early detecting rub-impact fault of rotor system
-
N. Hu, M. Chen, and X. Wen The application of stochastic resonance theory for early detecting rub-impact fault of rotor system Mech. Syst. Signal Process. 17 4 2003 883 895
-
(2003)
Mech. Syst. Signal Process.
, vol.17
, Issue.4
, pp. 883-895
-
-
Hu, N.1
Chen, M.2
Wen, X.3
-
41
-
-
33749513361
-
Engineering signal processing based on bistable stochastic resonance
-
Y. Leng, T. Wang, Y. Guo, Y. Xu, and S. Fang Engineering signal processing based on bistable stochastic resonance Mech. Syst. Signal Process. 21 1 2007 138 150
-
(2007)
Mech. Syst. Signal Process.
, vol.21
, Issue.1
, pp. 138-150
-
-
Leng, Y.1
Wang, T.2
Guo, Y.3
Xu, Y.4
Fang, S.5
-
42
-
-
0027649438
-
On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems
-
B.F. Spencer, and L.A. Bergman On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems Nonlinear Dyn. 4 4 1993 357 372
-
(1993)
Nonlinear Dyn.
, vol.4
, Issue.4
, pp. 357-372
-
-
Spencer, B.F.1
Bergman, L.A.2
-
43
-
-
77955195429
-
Semantic tolerance modeling with generalized intervals
-
1-7
-
Y. Wang Semantic tolerance modeling with generalized intervals J. Mech. Des. 130 8 2008 081701 1-7
-
(2008)
J. Mech. Des.
, vol.130
, Issue.8
, pp. 081701
-
-
Wang, Y.1
-
44
-
-
74249117598
-
Closed-loop analysis in semantic tolerance modeling
-
(1-10)
-
Y. Wang Closed-loop analysis in semantic tolerance modeling J. Mech. Des. 130 6 2008 061701 (1-10)
-
(2008)
J. Mech. Des.
, vol.130
, Issue.6
, pp. 061701
-
-
Wang, Y.1
-
45
-
-
73349129986
-
Interpretable interval constraint solvers in semantic tolerance analysis
-
Y. Wang Interpretable interval constraint solvers in semantic tolerance analysis Computer-Aided Des. Appl. 5 5 2008 654 666
-
(2008)
Computer-Aided Des. Appl.
, vol.5
, Issue.5
, pp. 654-666
-
-
Wang, Y.1
-
46
-
-
79953058134
-
Multiscale uncertainty quantification based on a generalized hidden Markov model
-
1-10
-
Y. Wang Multiscale uncertainty quantification based on a generalized hidden Markov model ASME J. Mech. Des. 133 3 2011 031004 1-10
-
(2011)
ASME J. Mech. Des.
, vol.133
, Issue.3
, pp. 031004
-
-
Wang, Y.1
-
47
-
-
2342637233
-
Calculus for interval functions of a real variable
-
S. Markov Calculus for interval functions of a real variable Computing 22 4 1979 325 337
-
(1979)
Computing
, vol.22
, Issue.4
, pp. 325-337
-
-
Markov, S.1
-
48
-
-
79958136339
-
Independence in generalized interval probability
-
B.M. Ayyub (Eds.) April 11-13, 2011, Hyattsville, MD
-
Y. Wang, Independence in generalized interval probability, in: B.M. Ayyub (Eds.), Proceedings of the 1st International Conference on Vulnerability and Risk Analysis and Management (ICVRAM 2011) and 5th International Symposium on Uncertainty Modeling and Analysis (ISUMA 2011), April 11-13, 2011, Hyattsville, MD, 2011, pp. 37-44.
-
(2011)
Proceedings of the 1st International Conference on Vulnerability and Risk Analysis and Management (ICVRAM 2011) and 5th International Symposium on Uncertainty Modeling and Analysis (ISUMA 2011)
, pp. 37-44
-
-
Wang, Y.1
|