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Ordinary Differential Equations

  • Hans-Görg Roos
  • Martin Stynes
  • Lutz Tobiska
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 24)

Abstract

We begin with a general form of the problem that will occupy our attention throughout most of Chapter I. Consider the linear two-point boundary value problem
$$ Lu: = - \varepsilon u'' + b\left( x \right)u' + c\left( x \right)u = f\left( x \right)\quad for\quad x \in \left( {d,e} \right), $$
with the boundary conditions
$$ \begin{gathered} {\alpha _d}u\left( d \right) - {\beta _d}u'\left( d \right) = {\gamma _d}, \hfill \\ {\alpha _e}u\left( e \right) - {\beta _e}u'\left( e \right) = {\gamma _e}. \hfill \\ \end{gathered} $$

Keywords

Finite Volume Method Upwind Scheme Test Space Consistency Error Equidistant Grid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Hans-Görg Roos
    • 1
  • Martin Stynes
    • 2
  • Lutz Tobiska
    • 3
  1. 1.Institut für Numerische MathematikTechnische Universität DresdenDresdenGermany
  2. 2.Department of MathematicsUniversity College CorkCorkIreland
  3. 3.Institut für Analysis und NumerikOtto-von-Guericke Universität MagdeburgMagdeburgGermany

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