Stochastic Partial Differential Equations: a Modeling, White Noise Functional Approach - Probability and Its Applications - Helge Holden - Books - Birkhauser Boston Inc - 9781468492170 - June 16, 2012
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Stochastic Partial Differential Equations: a Modeling, White Noise Functional Approach - Probability and Its Applications Softcover Reprint of the Original 1st Ed. 1996 edition

Helge Holden

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Stochastic Partial Differential Equations: a Modeling, White Noise Functional Approach - Probability and Its Applications Softcover Reprint of the Original 1st Ed. 1996 edition

This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera­ tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A. S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or "noisy". We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre­ sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions.


231 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 16, 2012
ISBN13 9781468492170
Publishers Birkhauser Boston Inc
Pages 231
Dimensions 155 × 235 × 13 mm   ·   353 g
Language English  

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