Titlebook: Uncertainty Quantification for Hyperbolic and Kinetic Equations; Shi Jin,Lorenzo Pareschi Book 2017 Springer International Publishing AG,

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Uncertainty Modeling and Propagation in Linear Kinetic Equations,ncertainties in linear kinetic equations as high frequency limits of models for wave propagations in heterogeneous media. Second, we analyze the propagation of stochasticity from the constitutive coefficients to the solutions of linear kinetic equations. Such uncertainty quantifications find many im

针叶树

Numerical Methods for High-Dimensional Kinetic Equations,heme needs to balance accuracy and computational complexity, and it also needs to address issues such as multiple scales, lack of regularity, and long-term integration. In this chapter, we review state-of-the-art numerical techniques for high-dimensional kinetic equations, including low-rank tensor

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情爱

,Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences,plications in socio-economic and life sciences, where processes characterized by large groups of agents exhibit spontaneous emergence of social structures. Well-known examples are the formation of clusters in opinion dynamics, the appearance of inequalities in wealth distributions, flocking and mill

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Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws,hese equations. We focus on non-intrusive sampling methods of the Monte-Carlo (MC) and Multi-level Monte-Carlo (MLMC) type. The modeling of uncertainty, within the framework of random fields and random entropy solutions, is discussed. We also describe (ML)MC finite volume methods and present the und

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Implicit

,Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences,ke the emergence of social structures, and are at best known in terms of statistical information of the modeling parameters. For this reason the presence of random inputs characterizing the parameters uncertainty should be considered as an essential feature in the modeling process. In this survey we

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ulture for at least partial explanations of school leaders’ behaviors and actions. We further submit that cross-cultural understanding may be usefully pursued through a comparative approach — one that allows administrative and leadership practices in different societies and cultures to be seen in re

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