发明授权
US06574650B1 Program generation method for calculation of a Poisson equation, diffusion equation, or like partial differential equation performed on irregularly dispersed grid points 失效
用于计算在不规则分散的网格点上执行的泊松方程,扩散方程或类似偏微分方程的程序生成方法

  • 专利标题: Program generation method for calculation of a Poisson equation, diffusion equation, or like partial differential equation performed on irregularly dispersed grid points
  • 专利标题(中): 用于计算在不规则分散的网格点上执行的泊松方程,扩散方程或类似偏微分方程的程序生成方法
  • 申请号: US09461818
    申请日: 1999-12-16
  • 公开(公告)号: US06574650B1
    公开(公告)日: 2003-06-03
  • 发明人: Takayuki Aoki
  • 申请人: Takayuki Aoki
  • 主分类号: G06F738
  • IPC分类号: G06F738
Program generation method for calculation of a Poisson equation, diffusion equation, or like partial differential equation performed on irregularly dispersed grid points
摘要:
In order to provide an approximate solution having high accuracy to a given partial differential equation made up of one of a Poisson equation, diffusion equation or other partial differential equation similar in form to a Poisson or diffusion equation, the given equation being applied on a plurality of grid points dispersed at irregular intervals, a program is generated in which not only the dependent variable of the original equation is used, but in addition first order derivatives thereof also are input independently as additional dependent variables, the program thereby serving to execute and solve discretized equations using discretized expressions made up of high accuracy second and third order derivative terms of a dependent variable of the given partial differential equation.
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