Backward Stochastic Differential Equations : From Linear to Fully Nonlinear Theory

Jianfeng Zhang

ISBN 10: 1493972545 / ISBN 13: 9781493972548

Verlag: Springer New York, Springer US, 2017

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations. Their main applications and numerical algorithms, as well as many exercises, are included. The book focuses on ideas and clarity, with most results having been solved from scratch and most theories being motivated from applications. It can be considered a starting point for junior researchers in the field, and can serve as a textbook for a two-semester graduate course in probability theory and stochastic analysis. It is also accessible for graduate students majoring in financial engineering. Bestandsnummer des Verkäufers 9781493972548

Bibliografische Details

Titel: Backward Stochastic Differential Equations :...

Verlag: Springer New York, Springer US

Erscheinungsdatum: 2017

Einband: Buch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

<P>THIS BOOK PROVIDES A SYSTEMATIC AND ACCESSIBLE APPROACH TO STOCHASTIC DIFFERENTIAL EQUATIONS, BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, AND THEIR CONNECTION WITH PARTIAL DIFFERENTIAL EQUATIONS, AS WELL AS THE RECENT DEVELOPMENT OF THE FULLY NONLINEAR THEORY, INCLUDING NONLINEAR EXPECTATION, SECOND ORDER BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, AND PATH DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS. THEIR MAIN APPLICATIONS AND NUMERICAL ALGORITHMS, AS WELL AS MANY EXERCISES, ARE INCLUDED.</P> <P>THE BOOK FOCUSES ON IDEAS AND CLARITY, WITH MOST RESULTS HAVING BEEN SOLVED FROM SCRATCH AND MOST THEORIES BEING MOTIVATED FROM APPLICATIONS. IT CAN BE CONSIDERED A STARTING POINT FOR JUNIOR RESEARCHERS IN THE FIELD, AND CAN SERVE AS A TEXTBOOK FOR A TWO-SEMESTER GRADUATE COURSE IN PROBABILITY THEORY AND STOCHASTIC ANALYSIS. IT IS ALSO ACCESSIBLE FOR GRADUATE STUDENTS MAJORING IN FINANCIAL ENGINEERING.</P>

Críticas:

“This book (written by one of the leading experts in the field) constitutes a very handy and self-contained resource on BSDEs, both for people who want to get acquainted with the theory of BSDEs and Ph.D. students who aim to work in this field. ... Overall the book is very well written and pleasant to read, and will likely become a classical reference on the topic.” (Anthony Réveillac, Mathematical Reviews, December, 2018)

“The book prefers clarity over generality in order to be more accessible and readable for the readers who are expected to be mainly Ph.D. students and junior researches in stochastic analysis.” (Martin Ondreját, zbMATH 1390.60004, 2018)