Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters
type: Item
instance of: scholarly article
title: Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters
zbMATH Open document ID: 0658.76098
DOI: 10.1007/BF01543100
author: T. E. Unny
author: Sergio Serrano
published in: Stochastic Hydrology and Hydraulics
publication date: 1987-01-01T00:00:00Z
review text: Two methods for the solution of partial differential equations (PDE) for the general case of random in time physical parameters are presented and their application to the solution of unsteady regional groundwater flow equations are illustrated. The first method is the semigroup approach which directly offers a solution without resorting to ``closure approximations'' (hierarchy techniques), perturbation techniques, or Montecarlo simulation techniques. The semigroup approach can also handle the general stochastic problem when randomness also appears as initial conditions, boundary conditions or forcing terms. The second method is an approximation scheme to obtain the semigroup solution in complex cases and permits the solution of equations with more than one random coefficient.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4076886
zbMATH Keywords: stochastic groundwater flow
zbMATH Keywords: random in time Gaussian process
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: ``closure approximations'' (hierarchy techniques)
zbMATH Keywords: perturbation techniques
zbMATH Keywords: Montecarlo simulation techniques
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4076886