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Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes

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References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
1983Random Fields: Analysis and Synthesis1,302 cited
1993Optimal Discretization of Random Fields728 cited

Cited by

2016Random function based spectral representation of stationary and non-stationary stochastic processes333 cited
2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion315 cited
2002Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme279 cited
2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited
2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
2006Collocation-based stochastic finite element analysis for random field problems182 cited
2004Generalized polynomial chaos and random oscillators129 cited
2007Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields126 cited
2017Principal component analysis and polynomial chaos expansion for time-variant reliability problems125 cited
2009Stochastic Finite Elements113 cited

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2013New formulation of Cholesky decomposition and applications in stochastic simulation106 cited

2013Reliability assessment in structural dynamics102 cited

2018An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion100 cited

2017Simulation of multi-dimensional random fields by Karhunen–Loève expansion99 cited

2017Dimension reduction of Karhunen-Loeve expansion for simulation of stochastic processes95 cited

2015Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion93 cited