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Numerical approximation of boundary-value problems

  • Alfio Quarteroni
  • Fausto Saleri
  • Paola Gervasio
Chapter
  • 14k Downloads
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 2)

Abstract

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.

Keywords

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