An algorithm for finding the distribution of maximal entropy, Journal of Computational Physics, vol.30, issue.2, pp.250-258, 1979. ,
DOI : 10.1016/0021-9991(79)90102-5
An Introduction to Multivariate Statistical Analysis, Third Edition, 2003. ,
DOI : 10.2307/2531310
Stochastic reduced order computational model of structures having numerous local elastic modes in low frequency dynamics, Journal of Sound and Vibration, vol.332, issue.16, pp.3667-3680, 2013. ,
DOI : 10.1016/j.jsv.2013.02.019
URL : https://hal.archives-ouvertes.fr/hal-00803461
A non-parametric probabilistic model for ground-borne vibrations in buildings, Probabilistic Engineering Mechanics, vol.21, issue.1, pp.18-34, 2006. ,
DOI : 10.1016/j.probengmech.2005.06.004
URL : https://hal.archives-ouvertes.fr/hal-00018949
Inversion of probabilistic structural models using measured transfer functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.6-8, 2008. ,
DOI : 10.1016/j.cma.2007.08.011
Subset Simulation and its Application to Seismic Risk Based on Dynamic Analysis, Journal of Engineering Mechanics, vol.129, issue.8, pp.901-917, 2003. ,
DOI : 10.1061/(ASCE)0733-9399(2003)129:8(901)
Stochastic Modeling of Structural Uncertainty/Variability from Ground Vibration Modal Test Data, Journal of Aircraft, vol.49, issue.3, pp.870-884, 2012. ,
DOI : 10.2514/1.C031546
Numerical Methods in Finite Element Analysis, 1976. ,
Experimental identification of turbulent fluid forces applied to fuel assemblies using an uncertain model and fretting-wear estimation, Mechanical Systems and Signal Processing, vol.23, issue.7, pp.2141-2153, 2009. ,
DOI : 10.1016/j.ymssp.2009.03.018
URL : https://hal.archives-ouvertes.fr/hal-00692169
Rigid multibody system dynamics with uncertain rigid bodies, Multibody System Dynamics, vol.198, issue.1, pp.285-319, 2012. ,
DOI : 10.1007/s11044-011-9279-2
URL : https://hal.archives-ouvertes.fr/hal-00701567
Calculation of Lagrange Multipliers in the Construction of Maximum Entropy Distributions in High Stochastic Dimension, SIAM/ASA Journal on Uncertainty Quantification, vol.1, issue.1, pp.431-451, 2013. ,
DOI : 10.1137/120901386
URL : https://hal.archives-ouvertes.fr/hal-00851201
Model identification in computational stochastic dynamics using experimental modal data, Mechanical Systems and Signal Processing, vol.50, issue.51, pp.50-51, 2014. ,
DOI : 10.1016/j.ymssp.2014.05.010
URL : https://hal.archives-ouvertes.fr/hal-00989208
Experimental identification of an uncertain computational dynamical model representing a family of structures, Computers & Structures, vol.89, issue.13-14, pp.13-14, 2011. ,
DOI : 10.1016/j.compstruc.2011.03.004
URL : https://hal.archives-ouvertes.fr/hal-00684292
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws, Physical Review Letters, vol.52, issue.1, pp.1-4, 1984. ,
DOI : 10.1103/PhysRevLett.52.1
Spectral fluctuations of classically chaoctic quantum systems Quantum Chaos and Statistical Nuclear Physics, pp.18-40, 1986. ,
Comment on spectral statistics in elastodynamics, The Journal of the Acoustical Society of America, vol.89, issue.3, pp.1456-1458, 1991. ,
DOI : 10.1121/1.400662
Numerical Methods for Second???Order Stochastic Differential Equations, SIAM Journal on Scientific Computing, vol.29, issue.1, pp.245-264, 2007. ,
DOI : 10.1137/050646032
Nonparametric Modeling of Random Uncertainties for Dynamic Response of Mistuned Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.126, issue.3, pp.600-618, 2004. ,
DOI : 10.1115/1.1760527
URL : https://hal.archives-ouvertes.fr/hal-00686199
Blade Manufacturing Tolerances Definition for a Mistuned Industrial Bladed Disk, Journal of Engineering for Gas Turbines and Power, vol.127, issue.3, pp.621-628, 2005. ,
DOI : 10.1115/1.1850497
URL : https://hal.archives-ouvertes.fr/hal-00688121
Data and model uncertainties in complex aerospace engineering systems, Journal of Sound and Vibration, vol.295, issue.3-5, pp.3-5, 2006. ,
DOI : 10.1016/j.jsv.2006.01.056
URL : https://hal.archives-ouvertes.fr/hal-00686152
Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation, Computer Methods in Applied Mechanics and Engineering, vol.271, issue.1, pp.210-230, 2014. ,
DOI : 10.1016/j.cma.2013.12.011
URL : https://hal.archives-ouvertes.fr/hal-00922708
Mistuning analysis and uncertainty quantification of an industrial bladed disk with geometrical nonlinearity, Journal of Sound and Vibration, vol.356, pp.124-143, 2015. ,
DOI : 10.1016/j.jsv.2015.07.006
URL : https://hal.archives-ouvertes.fr/hal-01183415
A new proof that the number of linear elastic symmetries is eight, Journal of the Mechanics and Physics of Solids, vol.49, issue.11, pp.2471-2492, 2001. ,
DOI : 10.1016/S0022-5096(01)00064-3
Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems, The Journal of the Acoustical Society of America, vol.115, issue.2, pp.697-705, 2004. ,
DOI : 10.1121/1.1639335
URL : https://hal.archives-ouvertes.fr/hal-00686209
Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: Case of composite sandwich panels, Journal of Sound and Vibration, vol.294, issue.1-2, pp.64-81, 2006. ,
DOI : 10.1016/j.jsv.2005.10.013
URL : https://hal.archives-ouvertes.fr/hal-00686153
Construction of a probabilistic model for impedance matrices, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.17-20, pp.17-20, 2007. ,
DOI : 10.1016/j.cma.2006.12.001
URL : https://hal.archives-ouvertes.fr/hal-00686151
Probabilistic impedance of foundation: Impact of the seismic design on uncertain soils, Earthquake Engineering & Structural Dynamics, vol.197, issue.6, pp.899-918, 2008. ,
DOI : 10.1002/eqe.794
URL : https://hal.archives-ouvertes.fr/hal-00685116
A Bounded Random Matrix Approach for Stochastic Upscaling, Multiscale Modeling & Simulation, vol.8, issue.1, pp.296-325, 2009. ,
DOI : 10.1137/090747713
Non-parametric???parametric model for random uncertainties in non-linear structural dynamics: application to earthquake engineering, Earthquake Engineering & Structural Dynamics, vol.33, issue.3, pp.315-327, 2004. ,
DOI : 10.1002/eqe.352
URL : https://hal.archives-ouvertes.fr/hal-00686208
Determination of the random anisotropic elasticity layer using transient wave propagation in a fluid-solid multilayer: Model and experiments, The Journal of the Acoustical Society of America, vol.125, issue.4, pp.2027-2034, 2009. ,
DOI : 10.1121/1.3087428
URL : https://hal.archives-ouvertes.fr/hal-00684450
Probabilistic model of the human cortical bone with mechanical alterations in ultrasonic range, Mechanical Systems and Signal Processing, vol.32, pp.170-177, 2012. ,
DOI : 10.1016/j.ymssp.2012.03.008
URL : https://hal.archives-ouvertes.fr/hal-00692871
Robustness analysis of an uncertain computational model to predict well integrity for geologic CO2 sequestration, Computational Geosciences, vol.3, issue.8, pp.307-323, 2013. ,
DOI : 10.1007/s10596-012-9332-0
URL : https://hal.archives-ouvertes.fr/hal-00757126
Stochastic Processes, 1990. ,
A least-squares approximation of partial differential equations with high-dimensional random inputs, Journal of Computational Physics, vol.228, issue.12, pp.4332-4345, 2009. ,
DOI : 10.1016/j.jcp.2009.03.006
Transient dynamics in structures with non-homogeneous uncertainties induced by complex joints, Mechanical Systems and Signal Processing, vol.20, issue.4, pp.854-867, 2006. ,
DOI : 10.1016/j.ymssp.2004.11.003
URL : https://hal.archives-ouvertes.fr/hal-00686155
Statistical Theory of the Energy Levels of Complex Systems. I, Journal of Mathematical Physics, vol.3, issue.1, pp.140-175, 1962. ,
DOI : 10.1063/1.1703773
Statistical theory of the energy levels of complex systems, Parts IV,V. J. Math. Phys, vol.4, pp.701-719, 1963. ,
Structural-acoustic modeling of automotive vehicles in presence of uncertainties and experimental identification and validation, The Journal of the Acoustical Society of America, vol.124, issue.3, pp.1513-1525, 2008. ,
DOI : 10.1121/1.2953316
URL : https://hal.archives-ouvertes.fr/hal-00685108
Fuzzy structure theory modeling of sound-insulation layers in complex vibroacoustic uncertain systems: Theory and experimental validation, The Journal of the Acoustical Society of America, vol.125, issue.1, pp.138-153, 2009. ,
DOI : 10.1121/1.3035827
URL : https://hal.archives-ouvertes.fr/hal-00684495
Sound-Insulation Layer Modelling in Car Computational Vibroacoustics in the Medium-Frequency Range, Acta Acustica united with Acustica, vol.96, issue.3, 2010. ,
DOI : 10.3813/AAA.918296
URL : https://hal.archives-ouvertes.fr/hal-00684316
Monte Carlo: Concepts, Algorithms, and Applications, 1996. ,
DOI : 10.1007/978-1-4757-2553-7
Stochastic relaxation, Gibbs distribution and the Bayesian distribution of images, IEEE Transactions on Pattern Analysis and Machine Intelligence, PAM I, vol.6, pp.721-741, 1984. ,
Polynomial Chaos in Stochastic Finite Elements, Journal of Applied Mechanics, vol.57, issue.1, pp.197-202, 1990. ,
DOI : 10.1115/1.2888303
Stochastic Finite Elements: a Spectral Approach, 1991. ,
DOI : 10.1007/978-1-4612-3094-6
Stochastic Finite Elements: A spectral Approach, 2003. ,
DOI : 10.1007/978-1-4612-3094-6
Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions, International Journal for Numerical Methods in Engineering, vol.28, issue.2, pp.162-184, 2008. ,
DOI : 10.1002/nme.2066
Matrix Computations, Fourth, 2013. ,
Mesoscale probabilistic models for the elasticity tensor of fiber reinforced composites: Experimental identification and numerical aspects, Mechanics of Materials, vol.41, issue.12, pp.1309-1322, 2009. ,
DOI : 10.1016/j.mechmat.2009.08.004
URL : https://hal.archives-ouvertes.fr/hal-00684330
A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.17-20, pp.1637-1648, 2011. ,
DOI : 10.1016/j.cma.2011.01.016
URL : https://hal.archives-ouvertes.fr/hal-00684305
Probabilistic modeling of apparent tensors in elastostatics: A MaxEnt approach under material symmetry and stochastic boundedness constraints, Probabilistic Engineering Mechanics, vol.28, pp.118-124, 2012. ,
DOI : 10.1016/j.probengmech.2011.07.004
URL : https://hal.archives-ouvertes.fr/hal-00686132
Generalized stochastic approach for constitutive equation in linear elasticity: a random matrix model, International Journal for Numerical Methods in Engineering, vol.94, issue.108, pp.613-635, 2012. ,
DOI : 10.1002/nme.3338
URL : https://hal.archives-ouvertes.fr/hal-00699345
Stochastic representation for anisotropic permeability tensor random fields, International Journal for Numerical and Analytical Methods in Geomechanics, vol.66, issue.13, pp.36-1592, 2012. ,
DOI : 10.1002/nag.1081
URL : https://hal.archives-ouvertes.fr/hal-00724651
On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties, Journal of Elasticity, vol.21, issue.5, pp.109-130, 2013. ,
DOI : 10.1007/s10659-012-9396-z
URL : https://hal.archives-ouvertes.fr/hal-00724048
Stochastic Model and Generator for Random Fields with Symmetry Properties: Application to the Mesoscopic Modeling of Elastic Random Media, Multiscale Modeling & Simulation, vol.11, issue.3, pp.840-870, 2013. ,
DOI : 10.1137/120898346
URL : https://hal.archives-ouvertes.fr/hal-00854121
Matrix Variate Distributions, 2000. ,
Geometric Numerical Integration . Structure-Preserving Algorithms for Ordinary Differential Equations, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-01403326
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
Spartan Gibbs Random Field Models for Geostatistical Applications, SIAM Journal on Scientific Computing, vol.24, issue.6, pp.2125-2162, 2003. ,
DOI : 10.1137/S106482750240265X
Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957. ,
DOI : 10.1103/PhysRev.106.620
Entropy Optimization Principles and Their Applications, 1992. ,
DOI : 10.1007/978-94-011-2430-0_1
Structural partitioning of complex structures in the medium-frequency range. An application to an automotive vehicle, Journal of Sound and Vibration, vol.330, issue.5, pp.937-946, 2011. ,
DOI : 10.1016/j.jsv.2010.09.008
URL : https://hal.archives-ouvertes.fr/hal-00684293
Stochastic Stability of Differential Equations, 2012. ,
Numerical Solution of Stochastic Differentials Equations, 1992. ,
A non-Poisson model for the vibration analysis of uncertain dynamic systems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.455, issue.1989, pp.3325-3349, 1999. ,
DOI : 10.1098/rspa.1999.0453
Coarse-grained properties of the chaotic trajectories in the stadium, Physica D: Nonlinear Phenomena, vol.44, issue.1-2, pp.229-235, 1990. ,
DOI : 10.1016/0167-2789(90)90057-V
Quantum Chaos Methods Applied to High-Frequency Plate Vibrations, Europhysics Letters (EPL), vol.18, issue.2, pp.101-106, 1992. ,
DOI : 10.1209/0295-5075/18/2/002
URL : https://hal.archives-ouvertes.fr/in2p3-00005442
Spectral Methods for Uncerainty Quantification with Applications to Computational Fluid Dynamics, 2010. ,
Optimization by Vector Space Methods, 2009. ,
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-16, 2005. ,
DOI : 10.1016/j.cma.2004.05.027
Robust Analysis of Design in Vibration of Turbomachines, Journal of Turbomachinery, vol.135, issue.2, pp.21008-21009, 2013. ,
DOI : 10.1115/1.4007442
URL : https://hal.archives-ouvertes.fr/hal-00684506
EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.43, issue.1, pp.15-41, 1990. ,
DOI : 10.1093/qjmam/43.1.15
Random Matrices and the Statisticals Theory of Energy Levels, 1967. ,
Random Matrices, Revised and Enlarged Second Edition, 1991. ,
Random Matrices, Third Edition, 2014. ,
The Monte Carlo Method, Journal of the American Statistical Association, vol.44, issue.247, pp.335-341, 1949. ,
DOI : 10.1080/01621459.1949.10483310
Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies, Probabilistic Engineering Mechanics, vol.23, issue.2-3, pp.267-278, 2008. ,
DOI : 10.1016/j.probengmech.2007.12.027
URL : https://hal.archives-ouvertes.fr/hal-00685147
Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.45-48, pp.45-48, 2008. ,
DOI : 10.1016/j.cma.2008.03.032
URL : https://hal.archives-ouvertes.fr/hal-00686140
Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures, AIAA Journal, vol.51, issue.6, pp.1296-1308, 2013. ,
DOI : 10.2514/1.J051555
URL : https://hal.archives-ouvertes.fr/hal-00686147
Nonparametric Stochastic Modeling of Uncertainty in Rotordynamics???Part I: Formulation, Journal of Engineering for Gas Turbines and Power, vol.132, issue.9, pp.92501-92502, 2009. ,
DOI : 10.1115/1.3204645
Nonparametric Stochastic Modeling of Uncertainty in Rotordynamics???Part II: Applications, Journal of Engineering for Gas Turbines and Power, vol.132, issue.9, pp.92502-92503, 2010. ,
DOI : 10.1115/1.3204650
Uncertainty-based experimental validation of nonlinear reduced order models, Journal of Sound and Vibration, vol.331, issue.5, pp.1097-1114, 2012. ,
DOI : 10.1016/j.jsv.2011.10.022
Nonparametric Stochastic Modeling of Structural Uncertainty in Rotordynamics: Unbalance and Balancing Aspects, Journal of Engineering for Gas Turbines and Power, vol.136, issue.6, pp.62506-62507, 2014. ,
DOI : 10.1115/1.4026166
Slice sampling, The Annals of Statistics, vol.31, issue.3, pp.705-767, 2003. ,
DOI : 10.1214/aos/1056562461
Recent Developments in Spectral Stochastic Methods for??the??Numerical Solution of Stochastic Partial Differential Equations, Archives of Computational Methods in Engineering, vol.24, issue.2, pp.251-285, 2009. ,
DOI : 10.1007/s11831-009-9034-5
URL : https://hal.archives-ouvertes.fr/hal-00366636
Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems, Archives of Computational Methods in Engineering, vol.225, issue.1, pp.403-434, 2010. ,
DOI : 10.1007/s11831-010-9054-1
URL : https://hal.archives-ouvertes.fr/hal-00461099
Random field representations for stochastic elliptic boundary value problems and statistical inverse problems, European Journal of Applied Mathematics, vol.19, issue.03, pp.339-373, 2014. ,
DOI : 10.1023/B:ACAP.0000013855.14971.91
Structural Acoustics and Vibration, The Journal of the Acoustical Society of America, vol.109, issue.6, 1998. ,
DOI : 10.1121/1.1352086
URL : https://hal.archives-ouvertes.fr/hal-00689039
Advanced Computational Dissipative Structural Acoustics and Fluid-Structure Interaction in Low-and Medium-Frequency Domains. Reduced-Order Models and Uncertainty Quantification, International Journal of Aeronautical and Space Sciences, vol.13, issue.2, pp.127-153, 2012. ,
DOI : 10.5139/IJASS.2012.13.2.127
URL : https://hal.archives-ouvertes.fr/hal-00713892
Advanced Computational Vibroacoustics. Reduced-Order Models and Uncertainty Quantification, 2014. ,
DOI : 10.1017/cbo9781107785328
URL : https://hal.archives-ouvertes.fr/hal-01162161
Signal Analysis, 1977. ,
Reliability analysis of a satellite structure with a parametric and a non-parametric probabilistic model, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.2, pp.344-357, 2008. ,
DOI : 10.1016/j.cma.2008.08.004
Statistical Theories of Spectra: Fluctuations, 1965. ,
Local Domain Monte Carlo Simulation, Structural Safety, vol.32, issue.5, pp.275-280, 2010. ,
DOI : 10.1016/j.strusafe.2010.03.009
Dynamic stability of a pipe conveying fluid with an uncertain computational model, Journal of Fluids and Structures, vol.49, pp.412-426, 2014. ,
DOI : 10.1016/j.jfluidstructs.2014.05.003
URL : https://hal.archives-ouvertes.fr/hal-00987873
Monte Carlo Statistical Methods, 2005. ,
Simulation and the Monte Carlo Method, 2008. ,
Probabilistic Uncertainty Modeling for Thermomechanical Analysis of Plasterboard Submitted to Fire Load, Journal of Structural Engineering, vol.134, issue.10, pp.1611-1618, 2008. ,
DOI : 10.1061/(ASCE)0733-9445(2008)134:10(1611)
URL : https://hal.archives-ouvertes.fr/hal-00685092
Computational stochastic heat transfer with model uncertainties in a plasterboard submitted to fire load and experimental validation, Fire and Materials, vol.5, issue.109, pp.109-127, 2009. ,
DOI : 10.1002/fam.982
URL : https://hal.archives-ouvertes.fr/hal-00684423
Quantum and classical properties of some billiards on the hyperbolic plane, Chaos and Quantum Physics, pp.333-369, 1991. ,
URL : https://hal.archives-ouvertes.fr/in2p3-00005026
Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis - recent advances, Structural Engineering and Mechanics, vol.32, issue.1, pp.1-20, 2009. ,
DOI : 10.12989/sem.2009.32.1.001
Analyse II Calcul Différentiel et Equations Différentielles, 1997. ,
Approximation Theorems of Mathematical Statistics, 1980. ,
A mathematical theory of communication. Bell System Tech, J, vol.27, pp.379-423, 1948. ,
Oscillators submitted to squared Gaussian processes, Journal of Mathematical Physics, vol.21, issue.10, pp.2500-2507, 1980. ,
DOI : 10.1063/1.524356
URL : https://hal.archives-ouvertes.fr/hal-00770397
The Fokker-Planck Equation for Stochastic Dynamical Systems and its Explicit Steady State Solutions, 1994. ,
DOI : 10.1142/2347
URL : https://hal.archives-ouvertes.fr/hal-00770411
A nonparametric model of random uncertainties in linear structural dynamics, Progress in Stochastic Structural Dynamics. Publications LMA-CNRS, pp.109-138, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-00773301
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 and non-parametric model of random uncertainties in vibration analysis, Journal of Sound and Vibration, vol.263, issue.4, pp.893-916, 2003. ,
DOI : 10.1016/S0022-460X(02)01170-7
URL : https://hal.archives-ouvertes.fr/hal-00686213
Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-16, 2005. ,
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187
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.1-3, 2006. ,
DOI : 10.1016/j.cma.2004.12.014
URL : https://hal.archives-ouvertes.fr/hal-00686157
Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.195, issue.4, pp.1583-1611, 2008. ,
DOI : 10.1002/nme.2385
URL : https://hal.archives-ouvertes.fr/hal-00684517
Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions, International Journal for Numerical Methods in Engineering, vol.80, issue.21-26, pp.939-970, 2010. ,
DOI : 10.1002/nme.2712
URL : https://hal.archives-ouvertes.fr/hal-00684322
Stochastic Models of Uncertainties in Computational Mechanics, 2012. ,
DOI : 10.1061/9780784412237
URL : https://hal.archives-ouvertes.fr/hal-00749201
Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation, Computers & Mathematics with Applications, vol.64, issue.11, pp.3594-3612, 2012. ,
DOI : 10.1016/j.camwa.2012.09.010
URL : https://hal.archives-ouvertes.fr/hal-00746280
Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Model, Journal of Engineering Mechanics, vol.129, issue.4, pp.449-457, 2003. ,
DOI : 10.1061/(ASCE)0733-9399(2003)129:4(449)
URL : https://hal.archives-ouvertes.fr/hal-00686215
Introduction to Stochastic Search and Optimization, 2003. ,
DOI : 10.1002/0471722138
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
Simulation of stochastic differential systems, Probabilistic Methods in Applied Physics, pp.54-96, 1995. ,
DOI : 10.1007/3-540-60214-3_51
URL : https://hal.archives-ouvertes.fr/inria-00075246
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. ,
Basis adaptation in homogeneous chaos spaces, Journal of Computational Physics, vol.259, pp.304-317, 2014. ,
DOI : 10.1016/j.jcp.2013.12.009
Elastic Behavior of Composite Materials: Theoretical Foundations, Adv. Appl. Mech, vol.21, pp.169-242, 1981. ,
DOI : 10.1016/S0065-2156(08)70332-6
Identification of Parametric Models from Experimental Data, 1997. ,
Spectral statistics in elastodynamics, The Journal of the Acoustical Society of America, vol.85, issue.3, pp.1005-1013, 1989. ,
DOI : 10.1121/1.397484
On the statistical distribution of the widths and spacings of nuclear resonance levels, Mathematical Proceedings of the Cambridge Philosophical Society, vol.47, issue.04, pp.790-798, 1951. ,
DOI : 10.1017/S0305004100027237
Distribution laws for the roots of a random Hermitian matrix In: Poter CE (ed) Statistical Theories of Spectra: Fluctuations, pp.446-461, 1965. ,
New directions in linear acoustics and vibration . Quantum chaos, random matrix theory, and complexity, 2010. ,
The Finite Element Method For Solid And Structural Mechanics, 2005. ,