Computational stochastic mechanics ??? recent advances, Computers & Structures, vol.79, issue.22-25, pp.22-252225, 2001. ,
DOI : 10.1016/S0045-7949(01)00078-5
The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938. ,
DOI : 10.2307/2371268
Stochastic Finite Element Expansion for Random Media, Journal of Engineering Mechanics, vol.115, issue.5, pp.1035-1053, 1989. ,
DOI : 10.1061/(ASCE)0733-9399(1989)115:5(1035)
Stochastic Finite Elements: A spectral Approach, 1991. ,
DOI : 10.1007/978-1-4612-3094-6
Ingredients for a general purpose stochastic finite elements implementation, Computer Methods in Applied Mechanics and Engineering, vol.168, issue.1-4, pp.19-34, 1999. ,
DOI : 10.1016/S0045-7825(98)00106-6
Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure, SIAM Journal on Scientific Computing, vol.26, issue.2, pp.395-410, 2004. ,
DOI : 10.1137/S1064827503424505
URL : https://hal.archives-ouvertes.fr/hal-00686211
A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000. ,
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293
Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001. ,
DOI : 10.1121/1.1360716
URL : https://hal.archives-ouvertes.fr/hal-00686287
Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-161333, 2005. ,
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187
A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948. ,
DOI : 10.1002/j.1538-7305.1948.tb01338.x
Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630171, 1957. ,
DOI : 10.1103/PhysRev.106.620
Approximation Theorems of Mathematical Statistics, 1980. ,
Entropy Optimization Principles and Their Applications, 1992. ,
DOI : 10.1007/978-94-011-2430-0_1
Maximum Entropy, Information Without Probability and Complex Fractal, 2000. ,
DOI : 10.1007/978-94-015-9496-7
Maximum entropy principle in stochastic dynamics, Probabilistic Engineering Mechanics, vol.5, issue.3, pp.102-110, 1990. ,
DOI : 10.1016/0266-8920(90)90001-Z
Maximum entropy in the problem of moments, Journal of Mathematical Physics, vol.25, issue.8, pp.2404-2417, 1984. ,
DOI : 10.1063/1.526446
On the application of maximum entropy to the moments problem, Journal of Mathematical Physics, vol.32, issue.7, pp.1717-1719, 1991. ,
DOI : 10.1063/1.529232
Maximum entropy in the Hamburger moments problem, Journal of Mathematical Physics, vol.35, issue.9, pp.5087-5096, 1994. ,
DOI : 10.1063/1.530796
Maximum entropy pdfs and the moment problem under near-Gaussian conditions, Probabilistic Engineering Mechanics, vol.18, issue.1, pp.17-29, 2003. ,
DOI : 10.1016/S0266-8920(02)00038-3
On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds, Mathematical Programming, vol.51, issue.1, pp.189-224, 1994. ,
DOI : 10.1007/BF01582221
An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds, SIAM Journal on Optimization, vol.6, issue.2, pp.418-445, 1996. ,
DOI : 10.1137/0806023
Functional Integrals: Approximate Evaluation and Applications, 1993. ,
Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, pp.57-97, 1970. ,
DOI : 10.1093/biomet/57.1.97
Introduction to Stochastic Search and Optimization, 2003. ,
DOI : 10.1002/0471722138
Stochastic relaxation, Gibbs distribution and the Bayesian distribution of images, IEEE Transactions on Pattern Analysis and Machine Intelligence, issue.6, pp.721-741, 1984. ,
Random Matrices, Revised and Enlarged Second Edition, 1991. ,
The Fokker-Planck Equation for Stochastic Dynamical Systems and its Explicit Steady State Solutions, World Scientific, vol.17, 1994. ,
DOI : 10.1142/2347
URL : https://hal.archives-ouvertes.fr/hal-00770411
Derivation and Application of the Fokker???Planck Equation to Discrete Nonlinear Dynamic Systems Subjected to White Random Excitation, The Journal of the Acoustical Society of America, vol.35, issue.11, pp.1683-1692, 1963. ,
DOI : 10.1121/1.1918788
Expansion of the global error for numerical schemes solving stochastic differential equations, Stochastic Analysis and Applications, vol.20, issue.4, pp.94-120, 1990. ,
DOI : 10.1080/07362999008809220
URL : https://hal.archives-ouvertes.fr/inria-00075490
Numerical Solution of Stochastic Differential Equations, 1992. ,
Stochastic Hamiltonian system: exponential convergence to the invariant measure and discretization by the implicit Euler scheme, Markov Processes and Related Fields, vol.8, pp.163-198, 2002. ,
Dynamics of Structures, Journal of Applied Mechanics, vol.44, issue.2, 1975. ,
DOI : 10.1115/1.3424082
Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.1-3, pp.26-64, 2006. ,
DOI : 10.1016/j.cma.2004.12.014
URL : https://hal.archives-ouvertes.fr/hal-00686157