Uncertainty Quantification and Stochastic Modeling with Matlab
Uncertainty Quantification (UQ) is a relatively new research area which describes the methods and approaches used to supply quantitative descriptions of the effects of uncertainty, variability and errors in simulation problems and models. It is rapidly becoming a field of increasing importance, with...
Autores principales: | , |
---|---|
Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
London : Kidlington, Oxford :
ISTE Press Ltd ; Elsevier Ltd
2015.
|
Colección: | Science Direct e-books.
|
Acceso en línea: | Conectar con la versión electrónica |
Ver en Universidad de Navarra: | https://innopac.unav.es/record=b34549651*spi |
Sumario: | Uncertainty Quantification (UQ) is a relatively new research area which describes the methods and approaches used to supply quantitative descriptions of the effects of uncertainty, variability and errors in simulation problems and models. It is rapidly becoming a field of increasing importance, with many real-world applications within statistics, mathematics, probability and engineering, but also within the natural sciences. Literature on the topic has up until now been largely based on polynomial chaos, which raises difficulties when considering different types of approximation and does not lead to a unified presentation of the methods. Moreover, this description does not consider either deterministic problems or infinite dimensional ones. This book gives a unified, practical and comprehensive presentation of the main techniques used for the characterization of the effect of uncertainty on numerical models and on their exploitation in numerical problems. In particular, applications to linear and nonlinear systems of equations, differential equations, optimization and reliability are presented. Applications of stochastic methods to deal with deterministic numerical problems are also discussed. Matlab{u00AA} illustrates the implementation of these methods and makes the book suitable as a textbook and for self-study. |
---|---|
Notas: | Vendor-supplied metadata. |
Formato: | Forma de acceso: World Wide Web. |
Bibliografía: | Incluye referencias bibliográficas e índice. |
ISBN: | 9780081004715 9781785480058 |