变系数Helmholtz方程本征值问题差分近似的六阶校正法  

A Sixth Order Correction Method for Eigenvalue Problems of Helmholtz Equations with Variable Coefficients

作　　者：王前东[1] 程攀[1] 吕涛[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2004年第1期33-39,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10171073)

摘　　要：给出了变系数Helmholtz方程的六阶高精度校正法.此校正过程几乎不增加工作量,而校正后精度比未校正提高了四阶,并能提供后验误差估计.同时,对于常系数Helmholtz方程,给出了八阶校正格式.A sixth order correction method for eigenvalue problems of Hlemholtz equations with variable coefficients is introduced. The correction procedure only needs little compute, but the precision is much higher than uncorrection and a posteriori error can be obtained by this method. Particularly an eighth order correction method for eigenvalue problems of Helmholtz equations with constant coefficients is introduced.

关 键 词：变系数Helmholtz方程 本征值问题 校正法 

分 类 号：O241.82[理学—计算数学]