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本文用有限阶截断矩阵和抛物线叠代近似求根法数值求解了大气潮汐全日振荡模的本征值一本征函数问题,求得了20×20阶截断本征值和本征向量。计算结果表明本征值的虚部比实部小若干量级,从而由计算实验证实了大气潮汐本征值问题有限阶截断矩阵的近似厄密特性。文中还叙述了变矩阵阶次以确定计算收敛性的实验结果,并与前人的结果进行了对比分析。
In this paper, the eigenvalues and eigenfunctions of the full-day oscillation mode of the atmospheric tide are solved by using finite-order truncated matrices and parabolic overlap approximations. The eigenvalues and eigenvectors of 20 × 20 order truncation are obtained. The calculation results show that the imaginary part of the eigenvalue is several orders of magnitude smaller than the real part, so that the approximate Hermitian property of the finite order truncated matrices of atmospheric tidal eigenvalue problems is verified by computational experiments. The article also describes the order of the variable matrix order to determine the experimental results of the calculation of convergence, and compared with previous results.