Mean-square stability of stochastic linear two-step methods for SDEs

Activity: Talk or presentationInvited talkunknown

Description

In this talk we present a linear stability analysis of two-step Maruyama-type methods, for simplicity of notation applied to a scalar stochastic differential equation (SDE), although the analysis also works for a system of SDEs. The main issue is that we obtain a stability matrix, which reflects the asymptotic mean-square sta- bility behaviour of the approximations, and that can be analysed by deterministic methods. We also provide stability plots. This is joint work with Thorsten Sickenberger
Period01 Nov 2013
Event titleSixth Workshop on Random Dynamical Systems
Event typeConference
LocationGermanyShow on map

Fields of science

  • 101002 Analysis
  • 101024 Probability theory
  • 107 Other Natural Sciences
  • 211 Other Technical Sciences
  • 101019 Stochastics
  • 101029 Mathematical statistics
  • 101015 Operations research
  • 101026 Time series analysis
  • 101014 Numerical mathematics

JKU Focus areas

  • Computation in Informatics and Mathematics
  • Engineering and Natural Sciences (in general)