A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity
A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity
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DOI：
10.1016/j.cam.2009.03.014
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发表时间：
2009-09
期刊：
影响因子：
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通讯作者：
Ronghua Chen;Xuli Han;Zongmin Wu
中科院分区：
文献类型：
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作者：
Ronghua Chen;Xuli Han;Zongmin Wu
本文给出了一种具有线性再现和保持单调性的多重二次拟插值方法。通过理论分析给出了其近似误差，并通过两个算例说明了其效果。其中一个例子是处理两个不同频率正弦函数的线性组合。另一种方法是逼近不连续函数。算例结果表明，本文的MQ拟插值方法是可行的。
In this paper, we develop a multiquadric (MQ) quasi-interpolation which has the properties of linear reproducing and preserving monotonicity. Moreover, we give its approximation error by theoretic analysis and illustrate the effect by means of two examples. One of the examples is to approach the linear combination of two sine functions with different frequencies. Another is to approximate a function with discontinuity. From the results of the examples, we believe that the present MQ quasi-interpolation is feasible.