Generation of realizations of Gaussian random functions on digital computers

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This is an extensive survey of methods for simulation of Gaussian random functions and fields on digital computers. The methods are classified as follows: generation of Gaussian random sequences with a given covariance function and spectral density function of a special type, and by discrete Fourier transform of uniform random numbers; generation of stationary and non-stationary Gaussian processes by filtration; and generation of stationary Gaussian processes, Gaussian fields and vector-valued fields by summing harmonics. (MR0488619)