Accuracy and Stability of The Continuous-Time 3 DVAR Filter for The Navier-Stokes Equation

@inproceedings{Blmker2012AccuracyAS,
  title={Accuracy and Stability of The Continuous-Time 3 DVAR Filter for The Navier-Stokes Equation},
  author={Dirk Bl{\"o}mker and Kevin Law and A. M. Stuart and Konstantinos C. Zygalakis},
  year={2012}
}
The 3DVAR filter is prototypical of methods used to combine observed data with a dynamical system, online, in order to improve estimation of the state of the system. Such methods are used for high dimensional data assimilation problems, such as those arising in weather forecasting. To gain understanding of filters in applications such as these, it is hence of interest to study their behaviour when applied to infinite dimensional dynamical systems. This motivates study of the problem of accuracy… CONTINUE READING
12 Citations
37 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 12 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 37 references

Stability of filters for the Navier-Stokes equation

  • CEA Brett, KF Lam, KJH Law, DS McCormick, MR Scott, AM Stuart
  • Arxiv preprint arXiv:1110.2527,
  • 2011
Highly Influential
5 Excerpts

Stochastic equations in infinite dimensions

  • G. Da Prato, J. Zabczyk
  • Cambridge Univ Pr,
  • 2008
Highly Influential
3 Excerpts

Improved moment estimates for invariant measures of semilinear diffusions in hilbert spaces and applications

  • A. Es-Sarhir, W. Stannat
  • J. Funct. Anal.,
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…