Report
Numerical cubature and hyperinterpolation over Spherical Polygons
| العنوان: | Numerical cubature and hyperinterpolation over Spherical Polygons |
|---|---|
| المؤلفون: | Sommariva, Alvise |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | The purpose of this work is to introduce a strategy for determining the nodes and weights of a low-cardinality positive cubature formula nearly exact for polynomials of a given degree over spherical polygons. In the numerical section we report the results about numerical cubature over a spherical polygon $\cal P$ approximating Australia and reconstruction of functions over such $\cal P$, also affected by perturbations, via hyperinterpolation and some of its variants. The open-source Matlab software used in the numerical tests is available at the author's homepage. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.05733 |
| رقم الانضمام: | edsarx.2403.05733 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |