积分方程的核 meaning in Chinese
kernel of an integral equation
kernel of integral equation
nucleus of an integral equation
Examples
- Kernel of integral equation
积分方程的核 - From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance , all kinds of probable mixed variable impedance boundaries and cracks , from interior and exterior trans - mission problems and radiation condition , ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification . it is shown that the kernel of the integral equation characters the boundary of scatterer , which is determined by solving it by virtual of regularity method , meanwhile , some numerical tests are given . 3
在二维非均匀介质逆散射边界识别的数学模型(包括一般的非均匀介质，正交各向异性介质，变阻抗介质，各种可能的混合变阻抗边界问题)下，由内透射问题和外透射问题以及辐射条件，推导了上述介质的边界识别的积分方程和指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界。 - From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet , neumann , robin , all kinds of probable mixed boundaries and cracks , direct and inverse scattering are discussed , and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification . it is shown that the kernel of the integral equation characters the boundary of scatterer , which is determined by solv - ing it by virtual of regularity method , meanwhile , some numerical tests are given . 2
在二维均匀介质逆散射各种边界识别的数学模型(包括dirichlet , neumann , robin ，各种可能的混合边界问题，裂纹问题)下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。