Utilizing Symmetry to Calculate Integral when the Integral Domain has no Directionality
Using the symmetry of integral domain to simplify integral calculation is one of the priority calculation strategies. If the integral domain is composed of two symmetrical parts and the integral domain has no directionality , then the integral twice times reduced to half an integral domain if the value of integrand on the symmetrical points are equal. If the value of integrand on the symmetrical points are opposite, then the integral is zero. If the integral domain has translatable symmetry, then the integral value unchanged when the integrand also be done the corresponding coordinate translation.
integral domainsymmetrydirectionalitysymmetrical pointstranslatable symmetry
NETL
NSTL
万方数据
