节点文献
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
【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.
【Abstract】 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;
【Key words】 Helmholtz equations with variable coefficients; eigenvalue problem; correction method;
【Key words】 Helmholtz equations with variable coefficients; eigenvalue problem; correction method;
【基金】 国家自然科学基金(10171073)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University (Natural Science Edition) , 编辑部邮箱 ,2004年01期
- 【分类号】O241
- 【被引频次】3
- 【下载频次】78