$δ_{-}ziti$方法在单位球上的推广：数值积分、Poisson问题的求解和传热
Extension of $δ_{-}ziti$ method in the unit ball: Numerical integration, resolution of Poisson's problem and Heat transfer
摘要：
受Galerkin方法和特殊方法的启发，在笛卡尔情形下提出了一种新的近似方法。本文特别感兴趣的是，当考虑的区域是二维球时，通过构造这种方法，将这一工作推广到了多维。我们减少了迭代计算积分和数值解的泊松和热问题（椭圆和抛物偏微分方程），在一个非常快的方式。
英文摘要：
Inspired by the Galerkin and particular method, a new approximation approach is recalled in the Cartesian case. In this paper, we are interested specially by constructing this method, when the domain of consideration is a two dimensional ball, to extend this work to the several dimension. We reduce the number of iterations to calculate integrals and numerical solution of Poisson and the Heat problems (elliptic nd parabolic PDEs), in a very fast way.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
