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Balanced and absolutely stable implicit schemes for the main and adjoint pollutant transport equations in limited area

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Compatible, implicit, balanced and absolutely stable difference schemes of the second order aproximation in space and time are suggested for solving the main and adjoint pollutant transport equations in a limited area when there is a pollutant flux through the open lateral and top boundaries. The differential operators of both the main and adjoint problems are positive definite, positive semidefinite or skew symmetric depending on the boundary conditions and the model parameters. The split ldim operators as well as the unsplit and split finitedifference operators have same properties. It enables us to apply the splitting-up method for constructing affordable implicit numerical schemes for the main and adjoint 3dim problems.
Palabras clave: transport of pollutions, numerical solution, implicit scheme, splitting method, factorization method.
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Sistema de Información Científica Redalyc
Red de Revistas Científicas de América Latina y el Caribe, España y Portugal
Universidad Autónoma del Estado de México
Versión 2.2 beta | 2015
redalyc@redalyc.org
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