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Numerical Integration

  • Alfio Quarteroni
  • Riccardo Sacco
  • Fausto Saleri
Part of the Texts in Applied Mathematics book series (TAM, volume 37)

Abstract

In this chapter we present the most commonly used methods for numerical integration. We will mainly consider one-dimensional integrals over bounded intervals, although in Sections 9.8 and 9.9 an extension of the techniques to integration over unbounded intervals (or integration of functions with singularities) and to the multidimensional case will be considered.

Keywords

Absolute Error Quadrature Formula Integration Interval Quadrature Error Richardson Extrapolation 
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 Science+Business Media New York 2007

Authors and Affiliations

  • Alfio Quarteroni
    • 1
  • Riccardo Sacco
    • 2
  • Fausto Saleri
    • 3
  1. 1.Department of MathematicsEcole Polytechnique, Fédérale de LausanneLausanneSwitzerland
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  3. 3.Dipartimento di Matematica, “F. Enriques”Università degli Studi di MilanoMilanItaly

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