基于积分值的MQ拟插值
Multiquadric Quasi-Interpolation Based on Integral Values
彭兴璇 1常雪 1王倩1
作者信息
- 1. 辽宁师范大学数学学院,辽宁 大连 116082
- 折叠
摘要
提出了一种基于积分值的MQ拟插值算子,即积分值型MQ拟插值算子,是一种直接构造方法.首先构造积分原函数的拟插值算子,然后基于积分原函数的性质,得到积分值型MQ拟插值算子.并对此拟插值算子所具有的二阶逼近阶和常数再生性进行了证明.数值实验的结果表明该方法是有效的.
Abstract
In this paper,a kind of MQ quasi-interpolation operator based on integral value is proposed.That is,the integral-valued MQ quasi-interpolation operator.It is a direct construction method.Firstly,the quasi-interpolation operator of the antiderivative is constructed.Then based on the properties of the antiderivative,the integral-valued MQ quasi-interpolation operator is obtained.The quadratic approximation order and constant reproduction property of the quasi-interpolation operator are proved.Finally,The results of numerical experiments show that the method is effective.
关键词
MQ拟插值/积分值/逼近阶/常数再生性Key words
MQ quasi-interpolation/integral value/approximation order/constant repro-duction property引用本文复制引用
出版年
2024
NETL
NSTL
万方数据