依賴于時間的薛定鍔方程的半離散兩層網(wǎng)格方法.pdf

1、湘潭大學(xué)碩士學(xué)位論文依賴于時間的薛定鍔方程的半離散兩層網(wǎng)格方法姓名：王建云申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)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