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An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term

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Hyperbolic Problems: Theory, Numerics, Applications

Abstract

We study numerical methods for one-dimensional hyperboUc systems of balance laws (x ∈ ℝ u ∈ ℝN, N ≥1) with very stiff source terms:

$$ {{u}_{t}} + f{{(u)}_{x}} = \frac{1}{\varepsilon }S(u),\quad 0 < \varepsilon < < 1. $$
((1))

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Author information

Authors and Affiliations

  1. Department of Mathematics, Tulane University, 6823 Saint Charles Avenue, New Orleans, LA, 70118, USA

    Alexander Kurganov

Authors
  1. Alexander Kurganov
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Editor information

Editors and Affiliations

  1. Department of Applied and Computational Mathematics 217-50, California Institute of Technology, Pasadena, CA, 91125, USA

    Thomas Y. Hou

  2. Center for Scientific Computation and Mathematical Modeling (CSCAMM) Department of Mathematics, University of Maryland, College Park, MD, 20742-3289, USA

    Eitan Tadmor

  3. Institute for Physical Science & Technology (IPST), University of Maryland, College Park, MD, 20742-3289, USA

    Eitan Tadmor

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© 2003 Springer-Verlag Berlin Heidelberg

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Kurganov, A. (2003). An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term. In: Hou, T.Y., Tadmor, E. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_62

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  • DOI: https://doi.org/10.1007/978-3-642-55711-8_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62929-7

  • Online ISBN: 978-3-642-55711-8

  • eBook Packages: Springer Book Archive

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