A finite-difference method on a Riemann surface
A finite-difference method on a Riemann surface
复制标题
黎曼曲面上的有限差分法
DOI：
10.32917/hmj/1206137309
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发表时间：
1973
影响因子：
0.2
通讯作者：
Hisao Mizumoto
中科院分区：
文献类型：
--
作者：
Hisao Mizumoto
本文从函数论应用的角度讨论有限差分法。既然我们谈到黎曼曲面上的调和微分和解析微分及函数，我们就需要在多面体上建立一个有限差分理论。设u是定义在复平面上坐标为整数的点上的函数。作为平面上离散调和函数u的定义，所谓五点公式
In the present paper we aim to discuss a method of finite-differences from the point of view of applications to the function theory. Since we speak of harmonic and analytic differentials and functions on a Riemann surface, we need to construct a theory of finite-differences on a Polyhedron. Let u be a function defined at the points of the complex plane whose coordinates are integers. As a definition of a discrete harmonic function u on a plane, the so-called five-point formula