Introduction to Uncertainty Quantification

• Κύριος συγγραφέας: Sullivan, T.J (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Texts in Applied Mathematics, 63
• Θέματα: Mathematics.; Numerical analysis.; Mathematical optimization.; Probabilities.; Physics.; Applied mathematics.; Engineering mathematics.; Probability Theory and Stochastic Processes.; Optimization.; Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.

Uncertainty quantification is a topic of increasing practical importance at the intersection of applied mathematics, statistics, computation, and numerous application areas in science and engineering. This text provides a framework in which the main objectives of the field of uncertainty quantificat...

Πίνακας περιεχομένων:

• Introduction
• Measure and Probability Theory
• Banach and Hilbert Spaces
• Optimization Theory
• Measures of Information and Uncertainty
• Bayesian Inverse Problems
• Filtering and Data Assimilation
• Orthogonal Polynomials and Applications
• Numerical Integration
• Sensitivity Analysis and Model Reduction
• Spectral Expansions
• Stochastic Galerkin Methods
• Non-Intrusive Methods
• Distributional Uncertainty
• References
• Index.