数值求积分 meaning in English
numerical quadrature
Examples
- In this dissertation , the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory , method and the application technique , based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem . the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced , based on the wave propagation theorem ; the arising of the non - unique solutions , which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem , is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在声波动理论基础上，详细地推导出对应于无限域和半无限域的外部振动声辐射问题的边界积分方程计算公式；根据fredholm积分理论，对利用边界积分方程计算振动声辐射问题过程中解的非唯一性的产生进行了分析和证明；改进了chief法以提高其克服解的非唯一性的有效性和可靠性；对不同条件下奇性系数的计算、强奇性积分的收敛性及其在变量替换时与普通积分的差异性、不同阶奇性积分的计算、数值求积分等进行了研究；开发了三次样条改进chief法计算软件，并通过算例考核了该方法在特征波数处克服解的非唯一性的有效性和在保证计算精度的前提下实现剖分粗化以提高计算效率的可行性。