Ordinary Differential Equations

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


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
$$ \begin{gathered} {\alpha _d}u\left( d \right) - {\beta _d}u'\left( d \right) = {\gamma _d}, \hfill \\ {\alpha _e}u\left( e \right) - {\beta _e}u'\left( e \right) = {\gamma _e}. \hfill \\ \end{gathered} $$


Finite Volume Method Upwind Scheme Test Space Consistency Error Equidistant Grid 
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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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