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Numerical integration in the irregular region

Numerische Integration im ungregelmäßigen Gebiet

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Abstract

Numerical evaluation of integrals in two or more dimensions has been developed mainly for simple regions such as cube, sphere, simplex, etc. This paper deals with numerical integration in a closed irregular region. The region is transformed into parallelpiped and an adaptive type formula is used for the integration.

Zusammenfassung

Numerische Integration in zwei und mehr Dimensionen ist hauptsächlich für einfache Gebiete wie Würfel, Kugel, Simplex und andere entwickelt worden. Dieses Papier behandelt die numerische Integration in einem geschlossenen unregelmäßigen Gebiet. Das Gebiet wird in Quader transformiert und eine an die geforderte Genauigkeit anpassungsfähige Formel wird für die Integration benützt.

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Authors and Affiliations

  1. Department of Information Science, Kyoto University, Kyoto, Japan

    K. Ichida &  T. Kiyono

Authors
  1. K. Ichida
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  2. T. Kiyono
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Ichida, K., Kiyono, T. Numerical integration in the irregular region. Computing 12, 9–15 (1974). https://doi.org/10.1007/BF02239496

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  • DOI: https://doi.org/10.1007/BF02239496

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