Analysis of Numerical Measure and Numerical Integration Based on Measure | Zendy

Yinkun Wang | Zendy; Jianshu Luo | Zendy; Xiangling Chen | Zendy

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Analysis of Numerical Measure and Numerical Integration Based on Measure

Author(s) -

Yinkun Wang,

Jianshu Luo,

Xiangling Chen

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/474089

Subject(s) - measure (data warehouse) , mathematics , numerical integration , lagrange polynomial , convergence (economics) , numerical analysis , interpolation (computer graphics) , singularity , function (biology) , mathematical analysis , computer science , polynomial , animation , computer graphics (images) , evolutionary biology , economics , biology , economic growth , database

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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