Solving Random Ordinary and Partial Differential Equations Through the Probability Density Function: Theory and Computing with Applications

DOI10.1007/978-3-319-96755-4_15zbMath1418.35391OpenAlexW2903464898MaRDI QIDQ5223401

J. Calatayud, M. Jornet, A. Navarro-Quiles, Juan-Carlos Cortés

Publication date: 18 July 2019

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96755-4_15

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model ⋮ Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme ⋮ Combining polynomial chaos expansions and the random variable transformation technique to approximate the density function of stochastic problems, including some epidemiological models

Cites Work

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• Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique
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• A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique
• On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density
• An Introduction to Computational Stochastic PDEs
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• Bayesian Biostatistics
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