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Differenziazione ed integrazione numerica

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Calcolo Scientifico

Part of the book series: UNITEXT ((UNITEXTMAT,volume 105))

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Astratto

Dopo aver introdotto alcuni esempi di rilevanza applicativa, in questo capitolo introdurremo metodi per l’integrazione numerica di funzioni, basati su formule interpolatorie globali o locali e sul metodo Monte-Carlo, e tecniche per la derivazione numerica di funzioni. Seguiranno numerosi esercizi relativi agli argomenti suddetti.

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Notes

  1. 1.

    Qualora l’immagine sia a colori, A risulta essere una matrice di \(n\) righe, \(m\) colonne e 3 pagine, queste ultime corrispondenti ai tre colori fondamentali del formato RGB (red-green-blue); in tal caso l’intensità luminosa del pixel \((i,j)\) può essere definita come \(b(x,y)=\sum_{c=1}^{3}\mathrm{A}_{ijc}/3.\)

Riferimenti bibliografici

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  3. Papoulis, A.: Probability, Random Variables, and Stochastic Processes. McGraw-Hill, New York (1987)

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  4. Piessens, R., de Doncker-Kapenga, E., Überhuber, C., Kahaner, D.: QUADPACK: A Subroutine Package for Automatic Integration. Springer Series in Computational Mathematics. Springer, Berlin (1983)

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  5. Quarteroni, A., Sacco, R., Saleri, F., Gervasio, P.: Matematica Numerica, 4a edn. Springer, Milano (2014)

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  6. Ralston, A., Rabinowitz, P.: A First Course in Numerical Analysis, 2nd edn. Dover, Mineola (2001)

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Author information

Authors and Affiliations

  1. École Polytechnique Fédérale (EPFL), Lausanne, Switzerland

    Alfio Quarteroni

  2. Politecnico di Milano, Milan, Italy

    Alfio Quarteroni

  3. MOX, Politecnico di Milano, Milan, Italy

    Fausto Saleri

  4. DICATAM, Università degli Studi di Brescia, Brescia, Italy

    Paola Gervasio

Authors
  1. Alfio Quarteroni
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  2. Fausto Saleri
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  3. Paola Gervasio
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Quarteroni, A., Saleri, F., Gervasio, P. (2017). Differenziazione ed integrazione numerica. In: Calcolo Scientifico. UNITEXT(), vol 105. Springer, Milano. https://doi.org/10.1007/978-88-470-3953-7_4

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