A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolafion process, a numerical integration method was established. It can converge faster than the R...A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolafion 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.展开更多
文摘A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolafion 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.