One-step approximations for stochastic functional differential equations

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the problem of strong approximations of the solution of Itô stochastic functional differential equations (SFDEs). We develop a general framework for the strong convergence of drift-implicit one-step schemes to the solution of SFDEs. Several examples illustrate the applicability of the framework.
Original languageEnglish
Pages (from-to)667-681
Number of pages15
JournalApplied Numerical Mathematics
Volume56
Issue number5
DOIs
Publication statusPublished - May 2006

Fields of science

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

JKU Focus areas

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

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