Forward-Backward Stochastic Differential Equations and their Applications
Ma, Jin.
Forward-Backward Stochastic Differential Equations and their Applications [electronic resource] / by Jin Ma, Jiongmin Yong. - XIV, 278 p. online resource. - Lecture Notes in Mathematics, 1702 0075-8434 ; . - Lecture Notes in Mathematics, 1702 .
Linear Equations -- Method of Optimal Control -- Four Step Scheme -- Linear, Degenerate Backward Stochastic Partial Di erential Equations -- The Method of Continuation -- FBSDEs with Reflections -- Applications of FBSDEs -- Numerical Methods for FBSDEs.
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 can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
9783540488316
10.1007/978-3-540-48831-6 doi
Global analysis (Mathematics).
Distribution (Probability theory.
Finance.
Analysis.
Probability Theory and Stochastic Processes.
Quantitative Finance.
QA299.6-433
515
Forward-Backward Stochastic Differential Equations and their Applications [electronic resource] / by Jin Ma, Jiongmin Yong. - XIV, 278 p. online resource. - Lecture Notes in Mathematics, 1702 0075-8434 ; . - Lecture Notes in Mathematics, 1702 .
Linear Equations -- Method of Optimal Control -- Four Step Scheme -- Linear, Degenerate Backward Stochastic Partial Di erential Equations -- The Method of Continuation -- FBSDEs with Reflections -- Applications of FBSDEs -- Numerical Methods for FBSDEs.
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 can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
9783540488316
10.1007/978-3-540-48831-6 doi
Global analysis (Mathematics).
Distribution (Probability theory.
Finance.
Analysis.
Probability Theory and Stochastic Processes.
Quantitative Finance.
QA299.6-433
515