Research toward the practical use of Sinc numerical methods based on theoretical analysis

SINC数值方法是近年来公认的高效数值模拟技术，但在实际应用中有两点需要讨论：(1)没有办法知道启动模拟所必需的调谐参数。(2)不能保证收敛，只是通过一些数值实验经验地观察到的。通过理论分析，给出了一种寻找调谐参数的方法，并严格证明了该方法的收敛性。

Sinc numerical methods have recently been known as highly-efficient numerical simulation technique, but there are two points to be discussed for the practical use.(1) No way has been given to know the tuning parameter, which is indispensable to launch the simulation.(2) The convergence is not guaranteed, but just empirically-observed by some numerical experiments. In this study, by theoretical analysis a way to find the tuning parameter is given, and the convergence is rigorously proved.