<p>This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved.Β Complete with exercises throughout, the book will equip readers with both theoretical underst
Introduction to Uncertainty Quantification
β Scribed by Sullivan, T. J
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
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.
π SIMILAR VOLUMES
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 an
<p>This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved.Β Complete with exercises throughout, the book will equip readers with both theoretical underst
<p>Nothing that can be said is independent of us. Whatever can be said is coloured by our dreams and aspirations, by the way our brain works, by human nature and human culture. Whoever claims to know or to observe is - according to the central constructivist assumption - inescapably biased. This boo
This textbook provides a physical understanding of what photons are and of their properties and applications. Special emphasis is made in the text to entangled photon pairs which exhibit quantum mechanical correlations over manifestly macroscopic distances. Such photon pairs make possible such excit