Dynamics of railway bridges, 1996. ,
DOI : 10.1680/dorb.34716
Impact study of cable-stayed railway bridges with random rail irregularities, Engineering Structures, vol.24, issue.5, pp.529-541, 2002. ,
DOI : 10.1016/S0141-0296(01)00119-5
Dynamic response of bridges to moving trains: A study on effects of random track irregularities and bridge skewness, Computers & Structures, vol.87, issue.19-20, pp.1233-1252, 2009. ,
DOI : 10.1016/j.compstruc.2008.12.004
Dynamics of railway vehicle systems, 1984. ,
A State-Space Approach to the Synthesis of Random Vertical and Crosslevel Rail Irregularities, Journal of Dynamic Systems, Measurement, and Control, vol.112, issue.1, pp.83-87, 1990. ,
DOI : 10.1115/1.2894143
MODELING AND SIMULATION OF RAILWAY BOGIE STRUCTURAL VIBRATIONS, Vehicle System Dynamics, vol.23, issue.sup1, pp.538-552, 1997. ,
DOI : 10.1115/1.3119501
Simulation and the Monte Carlo Method, 2007. ,
A priori reduction method for solving the two-dimensional Burgers??? equations, Applied Mathematics and Computation, vol.217, issue.15, pp.6671-6679, 2011. ,
DOI : 10.1016/j.amc.2011.01.065
URL : https://hal.archives-ouvertes.fr/hal-00585095
Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations, Mathematical and Computer Modelling, vol.33, issue.1-3, pp.1-19, 2001. ,
DOI : 10.1016/S0895-7177(00)00225-9
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows, Annual Review of Fluid Mechanics, vol.25, issue.1, pp.539-575, 1993. ,
DOI : 10.1146/annurev.fl.25.010193.002543
A Karhunen???Lo??ve least-squares technique for optimization of geometry of a blunt body in supersonic flow, Journal of Computational Physics, vol.195, issue.1, pp.387-412, 2004. ,
DOI : 10.1016/j.jcp.2003.08.030
Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows, SIAM Journal on Scientific Computing, vol.21, issue.4, pp.1419-1434, 2000. ,
DOI : 10.1137/S1064827598333181
Convergence study of the truncated Karhunen???Loeve expansion for simulation of stochastic processes, International Journal for Numerical Methods in Engineering, vol.8, issue.9, pp.1029-1072, 2001. ,
DOI : 10.1002/nme.255
Galerkin proper orthogonal decomposition methods for parabolic problems, Numerische Mathematik, vol.90, issue.1, pp.117-148, 2001. ,
DOI : 10.1007/s002110100282
Comparison between Karhunen???Lo??ve expansion and translation-based simulation of non-Gaussian processes, Computers & Structures, vol.85, issue.5-6, pp.264-76, 2007. ,
DOI : 10.1016/j.compstruc.2006.10.010
Kernel principal component analysis for stochastic input model generation, Comptes rendus de l'Académie des sciences de Paris, p.220, 1945. ,
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems, Journal of Computational Physics, vol.228, issue.6, pp.1862-1902, 2009. ,
DOI : 10.1016/j.jcp.2008.11.024
Generalized spectral decomposition for stochastic nonlinear problems, Journal of Computational Physics, vol.228, issue.1, pp.202-235, 2009. ,
DOI : 10.1016/j.jcp.2008.09.010
Implementation of Karhunen???Loeve expansion for simulation using a wavelet-Galerkin scheme, Probabilistic Engineering Mechanics, vol.17, issue.3, pp.293-303, 2002. ,
DOI : 10.1016/S0266-8920(02)00013-9
Simulation of strongly non-Gaussian processes using Karhunen???Loeve expansion, Probabilistic Engineering Mechanics, vol.20, issue.2, pp.188-198, 2005. ,
DOI : 10.1016/j.probengmech.2005.05.007
Karhunen???Lo??ve approximation of random fields by generalized fast multipole methods, Journal of Computational Physics, vol.217, issue.1, pp.100-122, 2006. ,
DOI : 10.1016/j.jcp.2006.01.048
Galerkin Sampling Method for Stochastic Mechanics Problems, Journal of Engineering Mechanics, vol.120, issue.5, pp.1091-1106, 1994. ,
DOI : 10.1061/(ASCE)0733-9399(1994)120:5(1091)
Karhunen???Lo??ve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel, Journal of Engineering Mechanics, vol.133, issue.7, pp.773-779, 2007. ,
DOI : 10.1061/(ASCE)0733-9399(2007)133:7(773)
A multiscale approach for model reduction of random microstructures, Computational Materials Science, vol.63, pp.269-285, 2012. ,
DOI : 10.1016/j.commatsci.2012.06.021
The eigenfunctions of the Karhunen???Loeve integral equation for a spherical system, Probabilistic Engineering Mechanics, vol.26, issue.2, pp.202-207, 2011. ,
DOI : 10.1016/j.probengmech.2010.07.009
Statistical moving load identification including uncertainty, Probabilistic Engineering Mechanics, vol.29, pp.70-78, 2012. ,
DOI : 10.1016/j.probengmech.2011.09.001
Stochastic Finite Elements: A Spectral Approach , rev, 2003. ,
DOI : 10.1007/978-1-4612-3094-6
Spectral Methods for Uncertainty Quantification, 2010. ,
DOI : 10.1007/978-90-481-3520-2
Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1963. ,
DOI : 10.1103/PhysRev.106.620
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
The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938. ,
DOI : 10.2307/2371268
Polynomial Chaos in Stochastic Finite Elements, Journal of Applied Mechanics, vol.57, issue.1, pp.197-202, 1990. ,
DOI : 10.1115/1.2888303
Identification of Bayesian posteriors for coefficients of chaos expansions, Journal of Computational Physics, vol.229, issue.9, pp.3134-3154, 2010. ,
DOI : 10.1016/j.jcp.2009.12.033
URL : https://hal.archives-ouvertes.fr/hal-00684317
Polynomial chaos representation of spatio-temporal random fields from experimental measurements, Journal of Computational Physics, vol.228, issue.23, pp.8726-8751, 2009. ,
DOI : 10.1016/j.jcp.2009.08.025
Maximum likelihood estimation of stochastic chaos representations from experimental data, International Journal for Numerical Methods in Engineering, vol.11, issue.6, pp.978-1001, 2006. ,
DOI : 10.1002/nme.1576
URL : https://hal.archives-ouvertes.fr/hal-00686154
Identification of Chaos Representations of Elastic Properties of Random Media Using Experimental Vibration Tests, Computational Mechanics, vol.60, issue.5, pp.831-838, 2007. ,
DOI : 10.1007/s00466-006-0072-7
URL : https://hal.archives-ouvertes.fr/hal-00686150
On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data, Journal of Computational Physics, vol.217, issue.1, pp.63-81, 2006. ,
DOI : 10.1016/j.jcp.2006.01.037
Stochastic spectral methods for efficient Bayesian solution of inverse problems, AIP Conference Proceedings, pp.560-586, 2007. ,
DOI : 10.1063/1.2149785
Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations, SIAM Journal on Scientific Computing, vol.34, issue.6, pp.2917-2945, 2012. ,
DOI : 10.1137/11084950X
URL : https://hal.archives-ouvertes.fr/hal-00770006
Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.33-36, pp.2150-2164, 2010. ,
DOI : 10.1016/j.cma.2010.03.013
URL : https://hal.archives-ouvertes.fr/hal-00684324
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
Mathematics of random phenomena, 1986. ,
DOI : 10.1007/978-94-009-4770-2