Higher-Order Newton-Cotes Formulas | Science Publications

Journal of Mathematics and Statistics

Pedro A.A.M. Junior¹  Cristina A. Magalhaes¹ 

关键词: Numerical methods;    numerical integration;    quadrature;    Newton-cotes;    higher-order;    analysis of error;   

DOI  :  10.3844/jmssp.2010.193.204

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach:It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: The difference in the result of each formula provides an approximation of the error. Computational routines to generate Newton-Cotes integration rules were presented.

【 授权许可】

Unknown