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The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data

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Progress in Industrial Mathematics at ECMI 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 15))

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Summary

We show the importance of the error function in the approximation of the solution of singularly perturbed convection-diffusion problems with discontinuous boundary conditions. It is observed that the error function (or a combination of them) provides an excellent approximation and reproduces accurately the effect of the discontinuities on the behaviour of the solution at the boundary and interior layers.

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References

  1. López, J.L., Pérez Sinusía, E.: Stud. Appl. Math. 113(1), 57–89 (2004)

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  2. López, J.L., Pérez Sinusía, E.: Acta Appl. Math. 82(1), 101–117 (2004)

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  3. López, J.L., Pérez Sinusía, E.: J. Comp. Appl. Math. 181, 1–23 (2005)

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  4. López, J.L., Pérez Sinusía, E., Temme, N.M.: Stud. Appl. Math. 116, 303–319 (2006)

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  5. López, J.L., Pérez Sinusía, E.: P. Roy. Soc. Edinb. A. 137A, 93–109 (2007)

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  6. López, J.L., Pérez Sinusía, E., Temme, N.M.: J. Math. Anal. Appl. 328(2), 931–945 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. López, J.L., Pérez Sinusía, E.: IMA J. Appl. Math. 74, 35–45 (2009)

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Author information

Authors and Affiliations

  1. Dpto. de Ingeniería Matemática e Informática, Universidad Pública de Navarra, Pamplona, 31006, Spain

    J. J. López & E. Pérez Sinusía

  2. CWI, 94079, 1090 GB, Amsterdam, The Netherlands

    N. M. Temme

Authors
  1. J. J. López
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  2. E. Pérez Sinusía
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  3. N. M. Temme
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Corresponding author

Correspondence to J. J. López .

Editor information

Editors and Affiliations

  1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom

    Alistair D. Fitt

  2. Mathematical Institute, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    John Norbury

  3. Mathematical Institute, Ctr for Industrial & Applied Mathematics, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    Hilary Ockendon

  4. Dept. Engineering Mathematics, University of Bristol, University Walk, Bristol, BS8 1TR, United Kingdom

    Eddie Wilson

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López, J.J., Sinusía, E.P., Temme, N.M. (2010). The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_9

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