Title of article
Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation
Author/Authors
Liu، نويسنده , , Mingzhu and Cao، نويسنده , , Wanrong and Fan، نويسنده , , Zhencheng، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
14
From page
255
To page
268
Abstract
The paper deals with convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation. It is proved that the semi-implicit Euler method is convergent with strong order p=12. The conditions under which the method is MS-stable and GMS-stable are determined and the numerical experiments are given.
Keywords
Semi-implicit Euler method , MS-stability , GMS-stability , Stochastic differential delay equations , Numerical solution
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552675
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