Abstract
We present convergence arguments for algorithms developed to estimate spatially and/or time dependent coefficients and boundary parameters in general transport (diffusion, advection, sink/source) models in a bounded domain Ω ⊂ R2. A brief summary of numerical results obtained using the algorithms is given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.T. Banks and P. Daniel (Lamm), Estimation of variable coefficients in parabolic distributed systems, LCDS #82–22, Brown University, Sept. 1982; IEEE Trans. Auto. Control, to appear.
H.T. Banks and P. Daniel (Lamm),IEEE Trans. Auto. Control, to appear.
H.T. Banks, P. Daniel (Lamm) and P. Kareiva, Estimation of temporally and spatially varying coefficients in models for insect dispersal, LCDS #83–14, Brown University, June, 1983
H.T. Banks, P. Daniel (Lamm) and P. Kareiva J. Math. Biology, to be submitted.
H.T. Banks and P. Kareiva, Parameter estimation techniques for transport equations with application to population dispersal and tissue bulk flow models, LCDS #82–13, Brown University, July, 1982
H.T. Banks and P. Kareiva J. Math. Biology, 17 (1983), 253–273.
A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston, 1969.
A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, 1964.
N.L. Guinasso and D.R. Schink, Quantitative estimates of biological mixing rates in abyssal sediments, J. Geophys. Res. 80 (1975), 3032–3043.
P. Kareiva, Experimental and mathematical analyses of herbivore movement: quantifying the influence of plant spacing and quality of foraging discrimination, Ecological Monographs, 52(3), (1982), 261–282.
K. Kunisch and L. White, The parameter estimation problem for parabolic equations in multidimensional domains in the presence of point evaluations, preprint, 1983.
O.A. Ladyzhenskaya and N.N. Ural’tseva, Linear and Quasilinear Elliptic Equations, Academic Press, 1968.
J.L. Lions, Optima1 Control of Systems Governed by Partial Differential Equations, Springer-Verlag, 1971.
M.H. Schultz, Spline Analysis, Prentice-Hall, 1973.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Banks, H.T., Kareiva, P., Lamm, P.K. (1985). Estimation Techniques for Transport Equations. In: Capasso, V., Grosso, E., Paveri-Fontana, S.L. (eds) Mathematics in Biology and Medicine. Lecture Notes in Biomathematics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93287-8_58
Download citation
DOI: https://doi.org/10.1007/978-3-642-93287-8_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15200-2
Online ISBN: 978-3-642-93287-8
eBook Packages: Springer Book Archive