高斯求积系数与节点确定的改进约束微分进化算法

摘要

为了处理高斯求积公式具有 m次代数精度时其求积系数与节点确定的问题，将此问题转化为函数优化问题，并对基本的微分进化算法进行改进，利用改进的约束微分进化算法进行高斯求积公式系数与节点的确定。实例模拟结果表明：此方法具有直观，计算结果稳定，精度高的优点。%The problem of determing integration knots and integration coefficients in Gauss integration formula with the algebraic precision integration factor into was converted function optimization problem . And then the basic differential evolution algorithm was improved .The improved constrained differential evolution algorithm was used to deternmine integration knots and integration coefficients in Gauss integration formula .Simulation results suggest that this algorithm is explicit ,stable and accurate .