Jianfeng Zhang

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.

This book analyzes the theory of ecological engineering of human settlements and provides case studies on the improvement of degraded lands and vegetation restoration, especially focusing on saline-alkali land, abandoned land, water source areas, and the impact of green belts on noise and air quality on the highways. In addition, it discusses the issue of biodiversity conservation strategies in rural landscape construction and demonstrates experiment measurement and field survey methods. The results obtained are supplemented by numerical calculations, presented in the form of tables and figures.

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.