【摘要】 <正> 本文提出了解Schrodinger方程的A.D.I.Galerkin方法,证明了解这个方程的Galerin方法及A.D.I.Galerkin方法的收敛性和对初始值的绝对稳定性。 §1 Galerkin方法的收敛性 在分子化学和激光技术中遇到的Schrodinger方程的初边值问题是:更多还原

【Abstract】 was presented. In this paper we investigate an A. D. I. Crank-Nicolson-Galerkin Scheme for this equation. The error estimationis obtained, where k is the degree of interpolation polynomials UM,WM of UM and WM on each element (?)e.When bicubic B-spline interpolations are applied to this method for Schrodinger’s equation, we established the estimationThis result is better than the similar result [3] of the difference scheme. The number of unknowns is the same in both methods.更多还原