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Titlebook: Backward Stochastic Differential Equations; From Linear to Fully Jianfeng Zhang Textbook 2017 Springer Science+Business Media LLC 2017 Stoc

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发表于 2025-3-21 17:12:05 | 显示全部楼层 |阅读模式
期刊全称Backward Stochastic Differential Equations
期刊简称From Linear to Fully
影响因子2023Jianfeng Zhang
视频video
发行地址Provides a systematic study from linear equations to fully nonlinear equations.Includes up-to-date developments in the field.A powerful and convenient tool for financial engineering and stochastic opt
学科分类Probability Theory and Stochastic Modelling
图书封面Titlebook: Backward Stochastic Differential Equations; From Linear to Fully Jianfeng Zhang Textbook 2017 Springer Science+Business Media LLC 2017 Stoc
影响因子.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..
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发表于 2025-3-21 20:18:02 | 显示全部楼层
https://doi.org/10.1007/978-981-16-4230-2In this chapter we introduce the Brownian motion and present the basic martingale theory. The materials here can be viewed as the linear theory for the nonlinear counterparts in Chapters . and . A financial application is also included.
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Rocket Mining for Lunar and Mars ISRUIn this chapter we introduce (one-dimensional) reflected BSDEs, motivated by American option pricing. We shall establish its well-posedness, a priori estimates, as well as its connection with PDEs.
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https://doi.org/10.1007/978-3-030-97913-3In this chapter we study coupled Forward-Backward SDEs. The theory for general FBSDEs is still far from mature. We shall introduce three different approaches for its well-posedness: the fixed point approach, the decoupling approach, and the method of continuation.
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https://doi.org/10.1007/978-1-4614-2029-3In this chapter we introduce nonlinear expectation and conditional nonlinear expectation by using the quasi-sure stochastic analysis. We shall also study the optimal stopping problem under nonlinear expectation.
发表于 2025-3-23 08:48:50 | 显示全部楼层
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