LAUSR

How to calculate the 3D time-domain Green function and its gradients accurately and efficiently is the key to solving the hydrodynamic problem of ships. In this paper, the least square support vector machine (LS-SVM) theory was proposed for the first time to solve the ordinary differential equations (ODEs) satisfied by the time-domain Green function and the spatial derivatives in time domain. Furthermore, the computational advantages of the theory were discussed from three perspectives which were the accuracy, stability and rapidity of the calculation of the time-domain Green function. This approach was validated by comparing the obtained results with those of alternative methods which was found to effectively improve the accuracy and stability of calculation of the time-domain Green function and the spatial derivative.