Weak convergence and approximations for partial differential equations with stochastic coefficients
β Scribed by Huang, Hai; Kushner, Harold J.
- Book ID
- 121349947
- Publisher
- Informa UK (Taylor & Francis)
- Year
- 1985
- Weight
- 958 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0090-9491
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π SIMILAR VOLUMES
A convergence theorem for the continuous weak approximation of the solution of stochastic differential equations (SDEs) by general one-step methods is proved, which is an extension of a theorem due to Milstein. As an application, uniform second order conditions for a class of continuous stochastic R
Sequences of polynomial functions which converge to solutions of partial differential equations with quasianalytical coefficients are constructed. Estimates of the degree of convergence are also given. 1998 Academic Press 1. INTRODUCTION 0.1 G. Freud and P. Nevai began to develop a theory of weight