A Strategy for Bioremediation of Marine Shorelines by Using Several Nutrient Release Points - Mathematical Modelling and Numerical Simulation of Oil Pollution Problems - page 53

scheme. In the absence of dissipation and sources, each scheme has two conserva-
tion laws. All one-dimensional discrete equations obtained at every fractional step
of the splitting algorithm are efficiently solved by the Thomas factorization method
for tridiagonal matrices.
Finally, we point out that the adjoint technique described in this chapter can also
be used for the solution of such problems as the control of industrial emissions,
the detection of the enterprises which violate the emission rates prescribed by a
control, and the estimation of the intensity of a pollution source in the case when its
position is known. For example, the last cases include a nuclear (or chemical) plant
accident or nuclear bomb explosion (testing, terrorist attacks, and others). In all these
situations, the source position is known or can easily be located (from a satellite or
other monitoring equipment), and then our method gives a lower bound of the source
intensity, which can be useful in the assessment of the scale of accident.
Acknowledgments This work was supported by the PAPIIT projects IN103313-2 and IN101815-3
(UNAM,México) and by the grants 14539 and 25170 of National Systemof Researches (CONACyT,
México). The authors are grateful to Marco Antonio Rodríguez García for his help in preparing the
final version of this manuscript in L A T E X.
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