Stopped diffusion processes: boundary corrections and overshoot
From MaRDI portal
Publication:2267543
DOI10.1016/j.spa.2009.09.014zbMath1186.60077arXiv0706.4042OpenAlexW1999844375MaRDI QIDQ2267543
Stéphane Menozzi, Emmanuel Gobet
Publication date: 1 March 2010
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.4042
Diffusion processes (60J60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
Related Items (34)
Newton Method for Stochastic Control Problems ⋮ Numerical computation for backward doubly SDEs with random terminal time ⋮ The First-passage Time of the Brownian Motion to a Curved Boundary: an Algorithmic Approach ⋮ Solving elliptic equations with Brownian motion: bias reduction and temporal difference learning ⋮ Solution Bounds for Elliptic Partial Differential Equations via Feynman-Kac Representation ⋮ THE BINOMIAL INTERPOLATED LATTICE METHOD FOR STEP DOUBLE BARRIER OPTIONS ⋮ Asymptotic Equivalence Between Boundary Perturbations and Discrete Exit Times: Application to Simulation Schemes ⋮ A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems ⋮ A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs ⋮ Parametric inference for diffusions observed at stopping times ⋮ Exact simulation of first exit times for one-dimensional diffusion processes ⋮ On Markov chain approximations for computing boundary crossing probabilities of diffusion processes ⋮ Continuity correction: on the pricing of discrete double barrier options ⋮ Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations ⋮ Stochastic Methods for Solving High-Dimensional Partial Differential Equations ⋮ Multilevel Estimation of Expected Exit Times and Other Functionals of Stopped Diffusions ⋮ Approximation of Markov semigroups in total variation distance under an irregular setting: an application to the CIR process ⋮ Simulating diffusion processes in discontinuous media: a numerical scheme with constant time steps ⋮ Continuous-time Random Walks for the Numerical Solution of Stochastic Differential Equations ⋮ Convergence in total variation distance of a third order scheme for one-dimensional diffusion processes ⋮ A multigrid-like algorithm for probabilistic domain decomposition ⋮ Recent advances in various fields of numerical probability ⋮ Almost sure optimal hedging strategy ⋮ A Mathematical Framework for Exact Milestoning ⋮ The PDD method for solving linear, nonlinear, and fractional PDEs problems ⋮ An implementation of Milstein's method for general bounded diffusions ⋮ Exact simulation of the first-passage time of diffusions ⋮ Connecting discrete and continuous lookback or hindsight options in exponential Lévy models ⋮ Exact simulation of the first passage time through a given level of jump diffusions ⋮ Metropolis Integration Schemes for Self-Adjoint Diffusions ⋮ Hybrid PDE solver for data-driven problems and modern branching ⋮ Simulation of multidimensional diffusions with sticky boundaries via Markov chain approximation ⋮ An efficient algorithm for accelerating Monte Carlo approximations of the solution to boundary value problems ⋮ SDE Based Regression for Linear Random PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary sensitivities for diffusion processes in time dependent domains
- On irregular functionals of SDEs and the Euler scheme
- Sequential analysis. Tests and confidence intervals
- A nonlinear renewal theory
- On the Markov renewal theorem
- Simulation of a space-time bounded diffusion
- Weak approximation of killed diffusion using Euler schemes.
- Discretization error in simulation of one-dimensional reflecting Brownian motion
- Exact asymptotics for the probability of exit from a domain and applications to simulation
- A random walk on rectangles algorithm
- Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme
- Overshoots and undershoots of Lévy processes
- A Continuity Correction for Discrete Barrier Options
- Asymptotic expansions in multidimensional Markov renewal theory and first passage times for Markov random walks
- Advanced Monte Carlo Methods for Barrier and Related Exotic Options
- Functional Integration and Partial Differential Equations. (AM-109)
- Corrected diffusion approximations in certain random walk problems
- Differentiation with Respect to the Domain in Boundary Value Problems
- Brownian approximations to first passage probabilities
- On the mean-square approximation of a diffusion process in a bounded domain
- Discrete Sampling of Functionals of Ito Processes
- Improved Simulation for the Killed Brownian Motion in a Cone
- Sequential Control Variates for Functionals of Markov Processes
This page was built for publication: Stopped diffusion processes: boundary corrections and overshoot