拟三对角矩阵与类型不敏感差分方程

ACM '59 Pub Date : 1959-09-01 DOI:10.1145/612201.612239

S. Schechter

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引用次数: 53

摘要

边界问题的各种离散化导致了这样的矩阵。这对于泊松方程和双调和方程来说是众所周知的，并且已经被证明了。卡尔奎斯特，a.f.科努克和其他人。这些作者提出使用@直接而不是迭代的方法来解决这些方程的问题。他们的方法在这里被推广到一般矩阵(i)，并证明了K. O. Friedrichs的正对称差分系统也属于这个c!混蛋~这些公司!除了纯ellptio之外，还有~ ~

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Quasi-tridiagonal matrices and type-insensitive difference equations

Various discretizations of boundary problems lead to such matrices. That this is so for Poisson's and the biharmonic equations is well known, and has been shown by 0. Karlqvist, A. F. Cornook and others. These authors prcpose the use of @irect, rather than iterative, methods to solve oroblems for these equations° Their methods are extended here to the general matrix (i.I) and it is shown that the positive symmetric difference systems of K. O. Friedrichs also fall into this c!ass~ These inc!ude~ in addition to pure elllptio

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ACM '59

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