Convergence study of the truncated Karhunen-Loève expansion for simulation of stochastic processes (Q2770900)

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scientific article; zbMATH DE number 1704327
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Convergence study of the truncated Karhunen-Loève expansion for simulation of stochastic processes
scientific article; zbMATH DE number 1704327

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    29 September 2002
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    Karhunen-Loève expansion
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    Fredholm integral equation
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    covariance models
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    Gaussian random processes
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    convergence
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    Convergence study of the truncated Karhunen-Loève expansion for simulation of stochastic processes (English)
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    This paper investigates the applicability of Karhunen-Loeve (K-L) expansion as a simulation tool for stationary and non-stationary Gaussian random processes. By comparing the covariance functions of the simulated random processes with those of target processes numerically, the convergence property and accuracy of the K-L expansion are examined. The factors affecting the convergence are given. NEWLINENEWLINENEWLINEThe reviewer feels the authors' conclusion is limited because simulation studies are carried out for only five common covariance models.
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