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Stochastic Differential Equations in Infinite Dimensions: With Applications....

Description: 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 corresponding 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 these SPDEs explicitly, or at least provide algorithms or approximations for the solutions."

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Location: Waco, Texas

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Stochastic Differential Equations in Infinite Dimensions: With Applications....

Item Specifics

All returns accepted: ReturnsNotAccepted

Educational Level: University Graduate

Level: Advanced

Country/Region of Manufacture: United States

Number of Pages: Xvi, 291 Pages

Publication Name: Stochastic Differential Equations in Infinite Dimensions : With Applications to Stochastic Partial Differential Equations

Language: English

Publisher: Springer Berlin / Heidelberg

Subject: Differential Equations / General, Probability & Statistics / General, Geometry / Algebraic, Applied

Publication Year: 2010

Item Weight: 47.3 Oz

Type: Textbook

Item Length: 9.3 in

Subject Area: Mathematics

Author: Vidyadhar Mandrekar, Leszek Gawarecki

Series: Probability and Its Applications Ser.

Item Width: 6.1 in

Format: Hardcover

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