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Stochastic Partial Differential Equations with Lévy Noise An Evolution Equation Approach (Encyclopedia of Mathematics and its Applications) by S. Peszat

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Published by Cambridge University Press .
Written in English

Subjects:

  • Differential Equations,
  • Stochastics,
  • Mathematics / Differential Equations,
  • Mathematics,
  • Science/Mathematics

Book details:

The Physical Object
FormatHardcover
Number of Pages438
ID Numbers
Open LibraryOL10438306M
ISBN 100521879892
ISBN 109780521879897

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'Summarising, this book is an excellent addition to the literature on stochastic partial differential equations in general and in particular with respect to evolution equations driven by a discontinuous by: Cite this paper as: Peszat S. () Stochastic Partial Differential Equations with Lévy Noise (a Few Aspects). In: Dalang R., Dozzi M., Flandoli F., Russo F. (eds) Stochastic Analysis: A Series of by: 1. The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion this, the second edition, the authors extend the theory to include SPDEs driven by space-time Lévy process noise, and introduce new applications of the field. SUMMARY: This book presents a new approach to stochastic partial differential equations based on white noise analysis. The framework makes heavy use of functional analysis and its main starting point is the Wiener chaos expansion and analogous expansions on /5(4).

The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion noise. In this, the second edition, the authors extend the theory to include SPDEs driven by space-time Lévy process noise, and introduce new applications. STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE (A FEW ASPECTS) SZYMON PESZAT, JAGIELLONIAN UNIVERSITY AND POLISH ACADEMY OF SCIENCES Abstract. The course is concerned with the following topics: Examples of equations. I will be motivated by the develop-ment of the theory as well as applications of SPDEs in mod-eling.   In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, ), we develop a white noise frame for anisotropic fractional Lévy random fields to solve the stochastic Poisson equation and the stochastic Schrödinger equation driven by the d-parameter Author: Xuebin Lü, Wanyang Dai. This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. Part I covers numerical stochastic ordinary differential equations.

Stochastic (partial) differential equations driven by Lévy noise have been studied widely, motivated among other things by applications in finance, statistical mechanics, fluid dynamics. For an. "This is the second edition of the very well-written and introductory, application-oriented book on stochastic partial differential equations (SPDEs) by P.L. Chow. Compared to the first edition, the main change is adding new materials about SPDEs driven by Lévy-type noise."Format: Hardcover. Stochastic Partial Differential Equations: Analysis and Computations publishes the highest quality articles, presenting significant new developments in the theory and applications at the crossroads of stochastic analysis, partial differential equations and scientific computing. Among the primary intersections are the disciplines of statistical physics, fluid dynamics, financial modeling. The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion this, the second edition, the authors extend the theory to include SPDEs driven by space-time Lévy process noise, and introduce new applications of the field/5(4).