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Stable High Order Quadrature Rules for Scattered Data and General Weight Functions

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 نشر من قبل Jan Glaubitz
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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 تأليف Jan Glaubitz




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Numerical integration is encountered in all fields of numerical analysis and the engineering sciences. By now, various efficient and accurate quadrature rules are known; for instance, Gauss-type quadrature rules. In many applications, however, it might be impractical---if not even impossible---to obtain data to fit known quadrature rules. Often, experimental measurements are performed at equidistant or even scattered points in space or time. In this work, we propose stable high order quadrature rules for experimental data, which can accurately handle general weight functions.

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