H.F. Campos Velho, M.R. Retamoso, M.T. Vilhena, F.M. Ramos, (1999): Function and Parameter Estimation Approaches for Identifing Boundary Conditions in Transport Theory, PanAmerican Workshop on Applied and Computational Mathematics, April 24-28, Trujillo, Peru. (submitted).

Abstract: The property identification constitutes an important topic in transport theory. This estimation process can be formulated as an inverse problem, using a formulation in which the inverse problem is solved as an optimization problem [1-3]. The estimation of boundary conditions for light transmission in natural waters is done. A parameter estimation scheme and one function estimation are considered for the inverse analysis. The forward problem is solved by LTSn method [4, 5]. The inverse solution was tested with synthetic data corrupted with Gaussian noise, where the Thikhonov regularization was used.

[1] E.S. Chalhoub, H.F. Campos Velho (2000): Simultaneous Estimation of Radiation Phase Function and Albedo in Natural Waters, Journal of Quantitative Spectroscopy & Radiative Transfer (JQSRT) - submitted.

[2] S. Stephany, F.M. Ramos, H.F. Campos Velho, C.D. Mobley (1998): A Methodology for Internal Light Sources Estimation, Computer Modeling and Simulation in Engineering (CMSE), 3(3), pp. 161-165.

[3] S. Stephany, F.M. Ramos, H.F. Campos Velho, C. D. Mobley (1999): Identification of Inherent Optical Properties and Bioluminescence Source Term in a Hydrologic Optics Problem, Journal of Quantitative Spectroscopy & Radiative Transfer (JQSRT) - to appear.

[4] M.T. Vilhena, L.B. Barichello (1991): A New Analytical Approach to Solve the Neutron Transport Equation, Kerntechnik, 56, pp. 334-338.

[5] C.F. Segatto, M.T. Vilhena (1994): Extention of the LTSn Formulation for Discrete Ordiantes Problem without Azimuthal Summetry, Annals of Nuclear Energy, 21, pp. 701-710.