依賴于時間的薛定鍔方程的半離散兩層網格方法.pdf

1、湘潭大學碩士學位論文依賴于時間的薛定鍔方程的半離散兩層網格方法姓名：王建云申請學位級別：碩士專業(yè)：計算數(shù)學指導教師：金繼承20080428AbstractWe firstly introduce the relevant background of the two-grid method and theSchrodinger equation in this dissertation. Then we give a review of

2、the resultsmade by many researchers. In the second chapter, to a kind of the time-dependentSchrodinger equation, we use the finite element method to construct a two-gridalgorithm in the semi-discrete form. In the third c

3、hapter, we have a strictly theo-retical analysis to the algorithm and prove that the semi-discrete solution has thesame error order with the solution solved by the standard finite element methodunder ? · ?1-norm. Fi