Abstract:as for the interpolation problem of two-variate cubic spline function,I advancemethod for computing interpolation coefficient,and give formulae for computingthe derivative,indefinite integral and definite integral by the spline function. I use the two-variate cubic spline function to compute the vertical second derivative and upward continuation of gravity anomaly on geology model. Comparison between model trial values and theoretical values shows that the method is accurate and convement.
汪炳柱. 用样条函数法求重力异常二阶垂向导数和向上延拓计算[J]. 石油地球物理勘探, 1996, 31(3): 415-422.
Wang Bingzhu. Computing the vertical second derivative and upward continuation of gravity anomaly by spline function method. OGP, 1996, 31(3): 415-422.