Numerical integration rules based on B-spline bases

被引：0
|
作者：
Yanez, Dionisio F. [1 ]
机构：
[1] Univ Valencia, Fac Matemat, Dept Matemat, Valencia, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 156卷
关键词：
Integration rules; Quasi-interpolation; Cell-average data; B-spline;
D O I：
10.1016/j.aml.2024.109142
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we present some new integration formulas for any order of accuracy as an application of the B -spline relations obtained in Amat et al. (2022). The resulting rules are defined as a perturbation of the trapezoidal integration method. We prove the order of approximation and extend the results to several dimensions. Finally, some numerical experiments are performed in order to check the theoretical results.
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页数：6
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