Stochastic Differential Equations and Applications

Mao (statistics and modeling science, U. of Strathclyde) has thoroughly revised this advanced undergraduate and graduate text, in part to describe several popular stochastic models and applications in population systems and finance. He covers generalized Gronwall inequality and Bihari inequality, Brownian motions and stochastic intervals, analysis of Ito and Feynman-Kac formulas, the Ruzumikhin technique of the Lyapunov method, approximate solutions to stochastic differential equations according to Cauchy-Marayama and Carathedory methods. Appropriate for pure and applied mathematicians, statisticians, engineers in control and communications, information scientists, physicists and economists. Previously published under title Stochastic Differential Equations and their Applications in 1997. Distributed by ISBS. Annotation ³2009 Book News, Inc., Portland, OR (booknews.com)

Produk Detail:

  • Author : X Mao
  • Publisher : ISBS
  • Pages : 422 pages
  • ISBN : 9781904275343
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKStochastic Differential Equations and Applications

Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications
  • Author : X Mao
  • Publisher : ISBS
  • Release : 13 January 2008
GET THIS BOOKStochastic Differential Equations and Applications

Mao (statistics and modeling science, U. of Strathclyde) has thoroughly revised this advanced undergraduate and graduate text, in part to describe several popular stochastic models and applications in population systems and finance. He covers generalized Gronwall inequality and Bihari inequality, Brownian motions and stochastic intervals, analysis of Ito and Feynman-Kac formulas, the Ruzumikhin technique of the Lyapunov method, approximate solutions to stochastic differential equations according to Cauchy-Marayama and Carathedory methods. Appropriate for pure and applied mathematicians, statisticians, engineers in control

Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications
  • Author : Avner Friedman
  • Publisher : Academic Press
  • Release : 20 June 2014
GET THIS BOOKStochastic Differential Equations and Applications

Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov’s formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate

Theory of Stochastic Differential Equations with Jumps and Applications

Theory of Stochastic Differential Equations with Jumps and Applications
  • Author : Rong SITU
  • Publisher : Springer Science & Business Media
  • Release : 06 May 2006
GET THIS BOOKTheory of Stochastic Differential Equations with Jumps and Applications

Stochastic differential equations (SDEs) are a powerful tool in science, mathematics, economics and finance. This book will help the reader to master the basic theory and learn some applications of SDEs. In particular, the reader will be provided with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems. These two techniques are powerful and efficient, and can also be

Stochastic Partial Differential Equations and Applications - VII

Stochastic Partial Differential Equations and Applications - VII
  • Author : Giuseppe Da Prato
  • Publisher : Chapman & Hall/CRC
  • Release : 09 August 2017
GET THIS BOOKStochastic Partial Differential Equations and Applications - VII

Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contributions from leading expert participants at an international conference on the subject, this book presents valuable information for PhD students in probability and PDEs as well as for researchers in pure and applied mathematics. Coverage includes Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, quantum stochastic differential equations, applications of SPDE, 3D stochastic Navier-Stokes equations,

Reflecting Stochastic Differential Equations with Jumps and Applications

Reflecting Stochastic Differential Equations with Jumps and Applications
  • Author : Situ Rong
  • Publisher : CRC Press
  • Release : 05 August 1999
GET THIS BOOKReflecting Stochastic Differential Equations with Jumps and Applications

Many important physical variables satisfy certain dynamic evolution systems and can take only non-negative values. Therefore, one can study such variables by studying these dynamic systems. One can put some conditions on the coefficients to ensure non-negative values in deterministic cases. However, as a random process disturbs the system, the components of solutions to stochastic differential equations (SDE) can keep changing between arbitrary large positive and negative values-even in the simplest case. To overcome this difficulty, the author examines the

Forward-Backward Stochastic Differential Equations and their Applications

Forward-Backward Stochastic Differential Equations and their Applications
  • Author : Jin Ma,Jiongmin Yong
  • Publisher : Springer
  • Release : 24 April 2007
GET THIS BOOKForward-Backward Stochastic Differential Equations and their Applications

This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It

Stochastic Partial Differential Equations and Applications

Stochastic Partial Differential Equations and Applications
  • Author : Giuseppe Da Prato,Luciano Tubaro
  • Publisher : Springer Verlag
  • Release : 25 March 1987
GET THIS BOOKStochastic Partial Differential Equations and Applications

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance
  • Author : Carlos A. Braumann
  • Publisher : John Wiley & Sons
  • Release : 08 March 2019
GET THIS BOOKIntroduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance

A comprehensive introduction to the core issues of stochastic differential equations and their effective application Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance offers a comprehensive examination to the most important issues of stochastic differential equations and their applications. The author — a noted expert in the field — includes myriad illustrative examples in modelling dynamical phenomena subject to randomness, mainly in biology, bioeconomics and finance, that clearly demonstrate the usefulness of stochastic differential equations in these

Forward-Backward Stochastic Differential Equations and Their Applications

Forward-Backward Stochastic Differential Equations and Their Applications
  • Author : Jin Ma,J.-M. Morel,Jiongmin Yong
  • Publisher : Springer Science & Business Media
  • Release : 22 September 1999
GET THIS BOOKForward-Backward Stochastic Differential Equations and Their Applications

This book is intended to give an introduction to the theory of forwa- backward stochastic di erential equations (FBSDEs, for short) which has received strong attention in recent years because of its interesting structure and its usefulness in various applied elds. The motivation for studying FBSDEs comes originally from stochastic optimal control theory, that is, the adjoint equation in the Pontryagin-type maximum principle. The earliest version of such an FBSDE was introduced by Bismut [1] in 1973, with a decoupled form, namely,

Numerical Solution of Stochastic Differential Equations

Numerical Solution of Stochastic Differential Equations
  • Author : Peter E. Kloeden,Eckhard Platen
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKNumerical Solution of Stochastic Differential Equations

The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily accessible introduction to SDEs, their applications and the numerical methods to solve such equations. From the reviews: "The authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible." --ZAMP

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance
  • Author : Carlos A. Braumann
  • Publisher : Wiley
  • Release : 29 April 2019
GET THIS BOOKIntroduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance

A comprehensive introduction to the core issues of stochastic differential equations and their effective application Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance offers a comprehensive examination to the most important issues of stochastic differential equations and their applications. The author — a noted expert in the field — includes myriad illustrative examples in modelling dynamical phenomena subject to randomness, mainly in biology, bioeconomics and finance, that clearly demonstrate the usefulness of stochastic differential equations in these

Stochastic Differential Equations

Stochastic Differential Equations
  • Author : K. Sobczyk
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKStochastic Differential Equations

'Et moi, ..~ si lavait su CO.llUlJalt en revc:nir, One acMcc matbcmatica bu JaIdcred the human rac:c. It bu put COIDIDOD _ beet je n'y serais point aBe.' Jules Verne wbac it bdoup, 0Jl!be~ IbcII _t to!be dusty cauialcr Iabc & d 'diMardod__ The series is divergent; thc:reforc we may be -'. I!.ticT. Bc:I1 able to do something with it. O. Hcavisidc Mathematics is a tool for thought. A highly necessary tool in a

An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations
  • Author : Lawrence C. Evans
  • Publisher : American Mathematical Soc.
  • Release : 11 December 2012
GET THIS BOOKAn Introduction to Stochastic Differential Equations

These notes provide a concise introduction to stochastic differential equations and their application to the study of financial markets and as a basis for modeling diverse physical phenomena. They are accessible to non-specialists and make a valuable addition to the collection of texts on the topic. --Srinivasa Varadhan, New York University This is a handy and very useful text for studying stochastic differential equations. There is enough mathematical detail so that the reader can benefit from this introduction with only