Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D G...Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics.展开更多
在传统的LMS(Least Mean Square)算法中,固定步长的选取影响收敛速度与稳态误差,而且两者不可兼得。因此,为在相应的领域内合理使用此类算法,针对这个问题在对多种自适应滤波LMS类算法进行原理分析后,得出此类算法在不同领域的特点,对...在传统的LMS(Least Mean Square)算法中,固定步长的选取影响收敛速度与稳态误差,而且两者不可兼得。因此,为在相应的领域内合理使用此类算法,针对这个问题在对多种自适应滤波LMS类算法进行原理分析后,得出此类算法在不同领域的特点,对今后不同人群的合理使用提供了良好条件。展开更多
基金The paper was financially supported by the National Natural Science Foundation of China (No. 19802008)Excellent Doctoral Dissertation Grant of the Ministry of Education of China (No. 199927)
文摘Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics.