2006•Journal of Southwest Jiaotong UniversityRequires access

Numerical Integration with Derivatives

Cheng Hu

Abstract

A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolation process, a numerical integration method was established. It can converge faster than the Romberg's. With the same accuracy, the computation of the new numerical integration with derivatives is only half of that of Romberg's numerical integration.

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Key concepts: Numerical integration, Richardson extrapolation, Extrapolation, Computation, Numerical analysis, Applied mathematics, Mathematics, Numerical stability