著者

竹内 敏己 藤野 清次

出版者

一般社団法人 日本応用数理学会

雑誌

日本応用数理学会論文誌 (ISSN:09172246)

巻号頁・発行日

vol.5, no.1, pp.9-26, 1995

参考文献数

14

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In this paper we study theoretically on some mathematical properties of the matrix of the linear system of equations which stems from discretization of n-dimensional Laplace equation by finite difference approximations. The mathematical properties, i.e., the maximum and minimum absolute eigenvalues, the eigenvectors and the condition numbers of the coefficient matrix A and the Jacobi matrix B of the iterative method are estimated. The discretization by the finite differences in n-dimensions is made using the nearest and skewed neighboring grid points. The effectiveness of the variants of the finite differences is shown throughout this study.