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

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Main Author: Yuri N. Skiba
Format: Artículo científico
Language:en
Published: Universidad Nacional Autónoma de México 1993
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author Yuri N. Skiba
author_facet Yuri N. Skiba
contents Balanced and absolutely stable implicit schemes for the main and adjoint pollutant transport equations in limited area Yuri N. Skiba Ciencias de la Tierra implicit scheme splitting method numerical solution factorization method transport of pollutions Compatible, implicit, balanced and absolutely stable difference schemes of the secondorder aproximation in space and time are suggested for solving the main and adjointpollutant transport equations in a limited area when there is a pollutant flux throughthe 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 conditionsand the model parameters. The split ldim operators as well as the unsplit and splitfinitedifference operators have same properties. It enables us to apply the splitting-upmethod for constructing affordable implicit numerical schemes for the main andadjoint 3dim problems. 1993 artículo científico 0188-4999 https://www.redalyc.org/articulo.oa?id=37090201 en http://www.redalyc.org/revista.oa?id=370 Revista Internacional de Contaminación Ambiental application/pdf Universidad Nacional Autónoma de México Revista Internacional de Contaminación Ambiental (México) Num.2 Vol.9
format Artículo científico
id redalyc_37090201
institution Redalyc
language en
publishDate 1993
publisher Universidad Nacional Autónoma de México
spellingShingle Balanced and absolutely stable implicit schemes for the main and adjoint pollutant transport equations in limited area
Yuri N. Skiba
Ciencias de la Tierra
implicit scheme
splitting method
numerical solution
factorization method
transport of pollutions
Balanced and absolutely stable implicit schemes for the main and adjoint pollutant transport equations in limited area Yuri N. Skiba Ciencias de la Tierra implicit scheme splitting method numerical solution factorization method transport of pollutions Compatible, implicit, balanced and absolutely stable difference schemes of the secondorder aproximation in space and time are suggested for solving the main and adjointpollutant transport equations in a limited area when there is a pollutant flux throughthe 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 conditionsand the model parameters. The split ldim operators as well as the unsplit and splitfinitedifference operators have same properties. It enables us to apply the splitting-upmethod for constructing affordable implicit numerical schemes for the main andadjoint 3dim problems. 1993 artículo científico 0188-4999 https://www.redalyc.org/articulo.oa?id=37090201 en http://www.redalyc.org/revista.oa?id=370 Revista Internacional de Contaminación Ambiental application/pdf Universidad Nacional Autónoma de México Revista Internacional de Contaminación Ambiental (México) Num.2 Vol.9
title Balanced and absolutely stable implicit schemes for the main and adjoint pollutant transport equations in limited area
topic Ciencias de la Tierra
implicit scheme
splitting method
numerical solution
factorization method
transport of pollutions
url https://www.redalyc.org/articulo.oa?id=37090201