Ralph Smith is a Professor of Mathematics and Associate Director of the Center for Research in Scientific Computation at North Carolina State University.
Inhaltsangabe
Preface Notation Acronyms and initialisms 1. Introduction 2. Large-scale applications 3. Prototypical models 4. Fundamentals of probability, random processes, and statistics 5. Representation of random inputs 6. Parameter selection techniques 7. Frequentist techniques for parameter estimation 8. Bayesian techniques for parameter estimation 9. Uncertainty propagation in models 10. Stochastic spectral methods 11. Sparse grid quadrature and interpolation techniques 12. Prediction in the presence of model discrepancy 13. Surrogate models 14. Local sensitivity analysis 15. Global sensitivity analysis A. Concepts from functional analysis Bibliography Index.
Preface Notation Acronyms and initialisms 1. Introduction 2. Large-scale applications 3. Prototypical models 4. Fundamentals of probability, random processes, and statistics 5. Representation of random inputs 6. Parameter selection techniques 7. Frequentist techniques for parameter estimation 8. Bayesian techniques for parameter estimation 9. Uncertainty propagation in models 10. Stochastic spectral methods 11. Sparse grid quadrature and interpolation techniques 12. Prediction in the presence of model discrepancy 13. Surrogate models 14. Local sensitivity analysis 15. Global sensitivity analysis A. Concepts from functional analysis Bibliography Index.
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