2012•Shuxue de shijian yu renshiRequires access

Constructions of New High Accurate Numerical Integration Formula

Li Xi

Abstract

A new class of high-order accurate numerical integration formula is constructed by weighted average with function-value of four points in integral interval and their first derivatives value.And then,we compound it to obtain the compound formula and improved formula,and extend these formulas to the double integrals.Finally,several numerical examples are given.Numerical results show that these formulas have high validity.

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Key concepts: Numerical integration, Mathematics, Applied mathematics, Numerical analysis, Numerical differentiation, Function (biology), Class (philosophy), Interval (graph theory)