Uncertainty Quantification for Hyperbolic and Kinetic Equations

Uncertainty Quantification for Hyperbolic and Kinetic Equations
Author: Shi Jin
Publisher: Springer
Total Pages: 282
Release: 2018-03-20
Genre: Mathematics
ISBN: 3319671103


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This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.


Uncertainty Quantification for Hyperbolic and Kinetic Equations
Language: en
Pages: 282
Authors: Shi Jin
Categories: Mathematics
Type: BOOK - Published: 2018-03-20 - Publisher: Springer

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This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different a
Uncertainty Quantification and Sensitivity Analysis for Multiscale Kinetic Equations with Random Inputs
Language: en
Pages: 0
Authors: Ruiwen Shu
Categories:
Type: BOOK - Published: 2018 - Publisher:

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This thesis gives an overview of the current results on uncertainty quantification and sensitivity analysis for multiscale kinetic equations with random inputs,
Uncertainty Quantification for Multiscale Kinetic Equations and Quantum Dynamics
Language: en
Pages: 330
Authors: Liu Liu
Categories:
Type: BOOK - Published: 2017 - Publisher:

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In the first part of the thesis, we develop a generalized polynomial chaos approach based stochastic Galerkin (gPC-SG) method for the linear semi-conductor Bolt
Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems
Language: en
Pages: 241
Authors: Giacomo Albi
Categories: Mathematics
Type: BOOK - Published: 2023-06-02 - Publisher: Springer Nature

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A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws
Realizability-preserving Discretization Strategies for Hyperbolic and Kinetic Equations with Uncertainty
Language: en
Pages: