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2013 Analysis of Numerical Measure and Numerical Integration Based on Measure
Yinkun Wang, Jianshu Luo, Xiangling Chen
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/474089


We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results.


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Yinkun Wang. Jianshu Luo. Xiangling Chen. "Analysis of Numerical Measure and Numerical Integration Based on Measure." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1291.65079
MathSciNet: MR3139474
Digital Object Identifier: 10.1155/2013/474089

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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