Stochastic Partial Differential Equations

Stochastic Partial Differential Equations

EnglishPaperback / softbackPrint on demand
Holden Helge
Birkhauser Boston Inc
EAN: 9781468492170
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Detailed information

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.
EAN 9781468492170
ISBN 1468492179
Binding Paperback / softback
Publisher Birkhauser Boston Inc
Publication date June 16, 2012
Pages 231
Language English
Dimensions 235 x 155
Country United States
Readership Professional & Scholarly
Authors Holden Helge; Oksendal Bernt; Uboe Jan; Zhang Tusheng
Illustrations XII, 231 p.
Edition Softcover reprint of the original 1st ed. 1996
Series Probability and Its Applications