Singular Stochastic Differential Equations
Author: Alexander S. Cherny
Publisher: Springer Science & Business Media
Published: 2005
Total Pages: 270
ISBN-13: 9783540240075
DOWNLOAD EBOOKRead and Download eBook Full
Author: Alexander S. Cherny
Publisher: Springer Science & Business Media
Published: 2005
Total Pages: 270
ISBN-13: 9783540240075
DOWNLOAD EBOOKAuthor: Chin Ma
Publisher:
Published: 1992
Total Pages: 202
ISBN-13:
DOWNLOAD EBOOKAuthor: Jin Ma
Publisher:
Published: 1992
Total Pages: 230
ISBN-13:
DOWNLOAD EBOOKAuthor: Simo Särkkä
Publisher: Cambridge University Press
Published: 2019-05-02
Total Pages: 327
ISBN-13: 1316510085
DOWNLOAD EBOOKWith this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author: Helge Holden
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 238
ISBN-13: 1468492152
DOWNLOAD EBOOKThis 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.
Author: Leszek Gawarecki
Publisher: Springer Science & Business Media
Published: 2010-11-29
Total Pages: 300
ISBN-13: 3642161944
DOWNLOAD EBOOKThe systematic study of existence, uniqueness, and properties of solutions to stochastic differential equations in infinite dimensions arising from practical problems characterizes this volume that is intended for graduate students and for pure and applied mathematicians, physicists, engineers, professionals working with mathematical models of finance. Major methods include compactness, coercivity, monotonicity, in a variety of set-ups. The authors emphasize the fundamental work of Gikhman and Skorokhod on the existence and uniqueness of solutions to stochastic differential equations and present its extension to infinite dimension. They also generalize the work of Khasminskii on stability and stationary distributions of solutions. New results, applications, and examples of stochastic partial differential equations are included. This clear and detailed presentation gives the basics of the infinite dimensional version of the classic books of Gikhman and Skorokhod and of Khasminskii in one concise volume that covers the main topics in infinite dimensional stochastic PDE’s. By appropriate selection of material, the volume can be adapted for a 1- or 2-semester course, and can prepare the reader for research in this rapidly expanding area.
Author: Bernard J. Matkowsky
Publisher:
Published: 1980
Total Pages: 40
ISBN-13:
DOWNLOAD EBOOKAuthor: Abdon Atangana
Publisher: Springer Nature
Published: 2022-04-22
Total Pages: 552
ISBN-13: 9811907293
DOWNLOAD EBOOKThis book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes.
Author: Jacek Kiedrowski
Publisher:
Published: 2022
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Alexander S. Cherny
Publisher: Springer
Published: 2004-12-02
Total Pages: 128
ISBN-13: 9783540240075
DOWNLOAD EBOOKThe authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications. However, known conditions for the existence and uniqueness of a solution typically fail for such equations. The book concentrates on the study of the existence, the uniqueness, and, what is most important, on the qualitative behaviour of solutions of singular stochastic differential equations. This is done by providing a qualitative classification of isolated singular points, into 48 possible types.