BS\(\Delta\)Es and BSDEs with non-Lipschitz drivers: comparison, convergence and robustness
From MaRDI portal
Publication:358147
DOI10.3150/12-BEJ445zbMath1306.60069arXiv1002.0175OpenAlexW3099885305MaRDI QIDQ358147
Patrick Cheridito, Mitja Stadje
Publication date: 16 August 2013
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.0175
robustnesscomparison theorembackward stochastic differential equationapproximation schemebackward stochastic difference equation
Related Items (21)
Convergence of BS\(\operatorname{\Delta}\)Es driven by random walks to BSDEs: the case of (in)finite activity jumps with general driver ⋮ Convergence and qualitative properties of modified explicit schemes for BSDEs with polynomial growth ⋮ A PRIMAL–DUAL ALGORITHM FOR BSDES ⋮ Solvability of forward–backward stochastic difference equations with finite states ⋮ Backward stochastic difference equations for dynamic convex risk measures on a binomial tree ⋮ Dynamic Conic Finance via Backward Stochastic Difference Equations ⋮ Maximum principle for stochastic optimal control problem of forward–backward stochastic difference systems ⋮ Reflected backward stochastic difference equations and optimal stopping problems under \(g\)-expectation ⋮ Numerical methods for backward stochastic differential equations: a survey ⋮ Existence, minimality and approximation of solutions to BSDEs with convex drivers ⋮ Backward nonlinear expectation equations ⋮ An overview on deep learning-based approximation methods for partial differential equations ⋮ Measures and integrals in conditional set theory ⋮ Numerical simulation of BSDEs with drivers of quadratic growth ⋮ Approximation of BSDEs with super-linearly growing generators by Euler's polygonal line method: a simple proof of the existence ⋮ TIME‐CONSISTENT AND MARKET‐CONSISTENT EVALUATIONS ⋮ Unnamed Item ⋮ The algebra of conditional sets and the concepts of conditional topology and compactness ⋮ Stability results for martingale representations: The general case ⋮ Mean square rate of convergence for random walk approximation of forward-backward SDEs ⋮ Numerical simulation of quadratic BSDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, minimality and approximation of solutions to BSDEs with convex drivers
- Adapted solution of a backward stochastic differential equation
- Representation of the penalty term of dynamic concave utilities
- Numerical simulation of BSDEs with drivers of quadratic growth
- Backward SDEs with superquadratic growth
- A general theory of finite state backward stochastic difference equations
- Solving forward-backward stochastic differential equations explicitly -- a four step scheme
- A numerical scheme for BSDEs
- On the robustness of backward stochastic differential equations.
- Stability in \(\mathbb D\) of martingales and backward equations under discretization of filtration
- Discretizing a backward stochastic differential equation
- Numerical method for backward stochastic differential equations
- Backward stochastic differential equations and partial differential equations with quadratic growth.
- Path regularity and explicit convergence rate for BSDE with truncated quadratic growth
- Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem
- BSDE with quadratic growth and unbounded terminal value
- Approximation scheme for solutions of backward stochastic differential equations via the representation theorem
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
- Numerical methods for forward-backward stochastic differential equations
- A regression-based Monte Carlo method to solve backward stochastic differential equations
- Backward Stochastic Differential Equations in Finance
- Stability of solutions of BSDEs with random terminal time
- Corrigendum to “Stability of solutions of BSDEs with random terminal time”
- Donsker-type theorem for BSDEs
This page was built for publication: BS\(\Delta\)Es and BSDEs with non-Lipschitz drivers: comparison, convergence and robustness