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Uncertainty Quantification: Advances in Research and Applications

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Description

Explore the latest developments in mathematical modeling with Uncertainty Quantification: Advances in Research and Applications. This volume provides a deep look into how polynomial chaos expansion serves as a leading technique for determining system response uncertainties through input propagation. Readers will find detailed discussions on various methodologies, including the intrusive Galerkin Projection approach and non-intrusive methods such as linear regression and pseudo-spectral projection. The text moves beyond traditional methods to introduce new ways of determining input parameter uncertainties. By utilizing the CIRCE software, this work offers a way to overcome the limitations of relying solely on expert judgment. This book is a valuable resource for those studying applied mathematics and seeking to understand modern approaches to uncertainty quantification in complex systems.

Key Features

Covers polynomial chaos expansion as a dominant technique for determining system response uncertainties by propagating input uncertainties.

Provides detailed analysis of the intrusive Galerkin Projection approach for mathematical modeling.

Discusses non-intrusive methods including pseudo-spectral projection and linear regression techniques.

Introduces new methodologies for determining input parameter uncertainties using CIRCE software.

Offers solutions to help researchers move past the reliance on expert judgment in uncertainty analysis.

Part of the Mathematics Research Developments series for advanced academic study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
28 February 2019
Listed Since
16 November 2018

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