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Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences
12 references·6 citing·34 second hop
Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences (2017)Uncertainty Quantification for Kinetic Mo…Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties (2016)Polynomial Chaos Methods for …Fokker–Planck equations in the modeling of socio-economic phenomena (2016)Fokker–Planck equations in th…Polynomial Chaos Methods for Hyperbolic Partial Differential Equations (2015)Polynomial Chaos Methods for …Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method (2013)Robust Uncertainty Propagatio…A stochastic Galerkin method for the Euler equations with Roe variable transformation (2013)A stochastic Galerkin method …Spectral Methods for Uncertainty Quantification (2010)Spectral Methods for Uncertai…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Uncertainty quantification for systems of conservation laws (2008)Uncertainty quantification fo…On a Kinetic Model for a Simple Market Economy (2005)On a Kinetic Model for a Simp…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…4 On a kinetic model for a simple market economy (2004)4 On a kinetic model for a si…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Mean-field control variate methods for kinetic equations with uncertainties and applications to socioeconomic sciences (2022)Mean-field control variate me…A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs (2022)A bi-fidelity stochastic coll…An Introduction to Uncertainty Quantification for Kinetic Equations and Related Problems (2021)An Introduction to Uncertaint…Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties (2020)Multiscale Variance Reduction…Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin) (2019)Uncertainty Quantification fo…Monte Carlo gPC Methods for Diffusive Kinetic Flocking Models with Uncertainties (2019)Monte Carlo gPC Methods for D…Stochastic Finite Elements: A Spectral Approach (1991)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions (2012)Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data (2012)The Pareto-Levy Law and the Distribution of Income (1960)Wealth condensation in a simple model of economy (2000)A theory of power-law distributions in financial market fluctuations (2003)Kinetic equations modelling wealth redistribution: A comparison of approaches (2008)Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics (2016)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Statistical mechanics of moneyStatistical mechanics of money (2000)Modeling human behavior in economics and social science (2017)Human behavior and lognormal distribution. 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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2010Spectral Methods for Uncertainty Quantification953 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2005On a Kinetic Model for a Simple Market Economy208 cited
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  • 2016Fokker–Planck equations in the modeling of socio-economic phenomena149 cited
  • 2015Polynomial Chaos Methods for Hyperbolic Partial Differential Equations81 cited
  • 2013A stochastic Galerkin method for the Euler equations with Roe variable transformation72 cited
  • 2013Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method66 cited
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Cited by

  • 2021An Introduction to Uncertainty Quantification for Kinetic Equations and Related Problems28 cited
  • 2019Monte Carlo gPC Methods for Diffusive Kinetic Flocking Models with Uncertainties

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27 cited
  • 2020Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties25 cited
  • 2019Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin)19 cited
  • 2022A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs11 cited
  • 2022Mean-field control variate methods for kinetic equations with uncertainties and applications to socioeconomic sciences8 cited