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Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • L.J. Alvarez-Vázquez

    (ETSI Telecomunicación. Universidad de Vigo, Departamento de Matemática Aplicada II)

  • A. Martínez

    (ETSI Telecomunicación. Universidad de Vigo, Departamento de Matemática Aplicada II)

  • M.E. Vázquez-Méndez

    (Universidad de Santiago de Compostela, Departamento de Matemática Aplicada. Escola Politécnica Superior)

  • M. Vilar

    (Universidad de Santiago de Compostela, Departamento de Matemática Aplicada. Escola Politécnica Superior)

Abstract

Common methods of controlling river pollution include establishing water pollution monitoring stations located along the length of the river. The point where each station is located (sampling point) is of crucial importance and, obviously, depends on the reasons for the sample. Collecting data about pollution at selected points along the river is not the only objective; must also be extrapolated to know the characteristics of the pollution in the entire river. In this work we will deal with the optimal location of sampling points. A mathematical formulation for this problem as well as an efficient algorithm to solve it will be given. Finally, in last sections, we will present numerical results obtained by using this algorithm when applied to a realistic situation in the last sections of a river.

Suggested Citation

  • L.J. Alvarez-Vázquez & A. Martínez & M.E. Vázquez-Méndez & M. Vilar, 2006. "Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1040-1048, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_104
    DOI: 10.1007/978-3-540-34288-5_104
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