Spectral Models of Random Fields in Monte Carlo Methods

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Frontmatter -- Preface -- Contents -- Chapter 1. Approximate Modelling of Homogeneous Gaussian Fields on the Basis of Spectral Decomposition -- Chapter 2. Spectral Models for Vector-Valued Fields -- Chapter 3. Convergence of Spectral Models of Random Fields in Monte Carlo Methods -- Chapter 4. On Optimization and Convergence of Functional Monte Carlo Estimators -- Appendix A. Gaussian Distributions: Properties and Simulation -- Appendix ?. Solution of Boundary Value Problems for Linear Systems of Stochastic Differential Equations -- Appendix C. On Interpolation of Positive Definite Functions and Stationary Random Sequences -- Appendix D. Coding of Multiplicative Pseudorandom Number Generators -- Bibliography -- Notation -- Index