## Abstract Let __b__ be a Borel measurable IR^d^ ‐ valued function, defined on some Borel subset of IR^d^. Consider the __d‐__ dimensional SDEmagnified imagewith singular drift __b__. A local solution (up to σ) is a tuple (__X, W__, Q,σ) where __X__ is a stochastic process, __W__ is a Brownian mot
Some remarks on approximation of solutions of SDE's with reflecting boundary conditions
✍ Scribed by Leszek Słomiński
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 372 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
✦ Synopsis
Let D be either a convex domain in ~a or a domain satisfying the conditions (A) and (B) considered by and . We estimate the rate of convergence for Euler scheme for stochastic differential e~luations in D with normal reflection at the boundary of the form
where W is a d-dimensional Wiener process.
📜 SIMILAR VOLUMES
The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is quadratic. (~ 2004 Elsevier Ltd. All rights reserved.