【摘要】 由于小波函数的振荡性,用传统的数值计算方法如高斯求积法等计算电磁场中任意点的关联系数值,既不准确,又不稳定。这也正是制约小波在偏微分方程数值计算应用中的一个重要原因。虽然人们进行了长期的努力和探索,得出了一些计算这些系数的数值计算方法,但都是建立在无界区域基础上的。这样就仅限于任意二进点关联系数值的计算,在综合现有有关关联系数计算成果的基础上,给出了一种精确计算任意点关联系数值的数值计算方法。更多还原

【Abstract】 Originating from such traditional approach as Goss Multiplication, the numerical value of incidence coefficient concerning arbitrary points in electromagnetic field is neither accurate nor stable due to wavelet functions vibratility. Hence, there lies a restricted role of wavelet in the evalution of eccentric differential equation. Though many evaluation methods concerned were put forward, they were all based on unbounded domain and restricted only to the evaluation of binary incidence coefficient. An accurate approach to the evaluation of incidence coefficient concerning arbitrary points is proposed on the basis of present theory.更多还原