Numerical approximation of boundary-value problems

  • Alfio Quarteroni
  • Fausto Saleri
  • Paola Gervasio
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 2)


Boundary-value problems are differential problems set in an interval (a, b) of the real line or in an open multidimensional region \(\it\Omega\subset\mathbb{R}^d(d=\mathrm{2,3})\) for which the value of the unknown solution (or its derivatives) is prescribed at the end-points a and b of the interval, or on the boundary \(\partial\it\Omega\) of the multidimensional region.


Numerical Approximation Hyperbolic Equation Upwind Scheme Local Truncation Error Homogeneous Dirichlet Boundary Condition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alfio Quarteroni
    • 1
  • Fausto Saleri
    • 2
  • Paola Gervasio
    • 3
  1. 1.MATHICSE-CMCSEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.MOX - Politecnico di MilanoMilanoItaly
  3. 3.DICATAMUniversità degli Studi di BresciaBresciaItaly

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