Skip to main content

Part of the book series: Water Science and Technology Library ((WSTL,volume 10/4))

  • 355 Accesses

Abstract

In this paper a parameter identification algorithm is developed for particles models. The estimation problem is solved with a gradient based algorithm. For each generated particle track, the adjoint track is determined to efficiently compute the gradient of the criterion. The asymptotic behaviour of the algorithm for an increasing number of particles is discussed. Finally the approach is illustrated with an application.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anderson, B.D.O., Reverse-time diffusion equation models, Stochastic Processes and their Applications, Vol. 12, pp. 313–326, (1982).

    Article  Google Scholar 

  • Boogaard, H.F.P. van der, M.J.J. Hoogkamer and A.W. Heemink, Parameter identification in Particle models, Stoch. Hydrology and Hydraulics, Vol. 7, pp. 109–130, (1993).

    Article  Google Scholar 

  • Brummelhuis, P.G.J. ten, A.W. Heemink and H.F.P. van den Boogaard, Identification of shallow sea models, Int. Journ. on Num. Meth. in Fluids, Vol. 17, pp. 637–665, (1993).

    Article  Google Scholar 

  • Bryson, A.E. and M. Frazier, Smoothing for linear and nonlinear dynamical systems, Proc of the optimum system synthesis conference, rep. ASD-TDR-63-119, Flight Control Lab., Ohio, (1963).

    Google Scholar 

  • Chavent, G, Identification of distributed parameter system: about the output least squares method, its implementation and identifiability, In: Proc. 5th IFAC symp. on Identification and system parameter estimation, Vol.1, Ed. Iserman, R., Pergamon Press, New York, pp. 85–97, (1980).

    Google Scholar 

  • Heemink, A.W., Stochastic modelling of dispersion in shallow water, Stochastic Hydrology and Hydraulics, Vol.4, pp. 161–174, (1990).

    Article  Google Scholar 

  • Kloeden, P.E. and E. Platen, A survey of numerical methods for stochastic differential equations, Stochastic and Hydrology and Hydraulics, Vol.3, pp. 155–178, (1989).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Heemink, A.W., Van Den Boogaard, H.F.P. (1994). Identification of Stochastic Dispersion Models. In: Hipel, K.W. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1072-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1072-3_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4467-7

  • Online ISBN: 978-94-011-1072-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics