Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

Author:   Helge Holden ,  Bernt Øksendal ,  Jan Ubøe ,  Tusheng Zhang
Publisher:   Springer-Verlag New York Inc.
Edition:   Second Edition 2010
ISBN:  

9780387894874


Pages:   304
Publication Date:   04 December 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach


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Overview

The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs. In this, the second edition, the authors build on the theory of SPDEs driven by space-time Brownian motion, or more generally, space-time Levy process noise. Applications of the theory are emphasized throughout. The stochastic pressure equation for fluid flow in porous media is treated, as are applications to finance. Graduate students in pure and applied mathematics as well as researchers in SPDEs, physics, and engineering will find this introduction indispensible. Useful exercises are collected at the end of each chapter.

Full Product Details

Author:   Helge Holden ,  Bernt Øksendal ,  Jan Ubøe ,  Tusheng Zhang
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Second Edition 2010
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.010kg
ISBN:  

9780387894874


ISBN 10:   038789487
Pages:   304
Publication Date:   04 December 2009
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface to the Second Edition.- Preface to the First Edition.- Introduction.- Framework.- Applications to stochastic ordinary differential equations.- Stochastic partial differential equations driven by Brownian white noise.- Stochastic partial differential equations driven by Lévy white noise.- Appendix A. The Bochner-Minlos theorem.- Appendix B. Stochastic calculus based on Brownian motion.- Appendix C. Properties of Hermite polynomials.- Appendix D. Independence of bases in Wick products.- Appendix E. Stochastic calculus based on Lévy processes- References.- List of frequently used notation and symbols.- Index.

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Author Information

Helge Holden is a professor of mathematics at the Norwegian University of Science and Technology and an adjunt professor at the Center of Mathematics for Applications, part of the University of Oslo. He has done extensive research in stochastic analysis, in particular in its application to flow in porous media. Bernt A ksendal is a professor at the Center of Mathematics for Applications at the University of Oslo. He is a winner of the Nansen Prize for research in stochastic analysis and its applications. Jan Uboe is a professor in the Department of Finance and Management Sciences at the Norwegian School of Economics and Business Administration. He has written many papers about this subject. Tusheng Zhang is a professor of probability at the University of Manchester. His current area of research is stochastic differential and partial differential equations, and he recently published a monograph on fractional Brownian fields with Bernt A ksendal and others.

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