geometry of spheres

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题 ,讨论了一种基于微分方程的变分形式求解方法 ,数值计算显示达到了较满意的精度 ,而且计算过程比起其他近似方法要简单

The problem of multigroup approximation for a class of stationary tyansportequations in spherical geometry is studied.

研究了一类球几何定态迁移方程多群逼近问题，运用泛函分析算子理论，我们证明了原迁移问题的本征值可由多群迁移问题的本征值来逼近，多群迁移问题存在临界本征值及相应的非负本征函数并逼近原迁移问题的临界本征值及相应的非负本征函数，且给出了逼近的数量级。