双周期样条函数空间■_2~1(Δ_(mn)^((2)))的代数结构  

THE SPACE ■_2~1(A_(mn)^(2)) OF BIVARIATE PERIODIC SPLINE FUNCTIONS

作　　者：刘焕文[1] 

机构地区：[1]湘潭大学数学系

出　　处：《高等学校计算数学学报》1990年第4期335-341,共7页Numerical Mathematics A Journal of Chinese Universities

摘　　要：§1 引言 为简便计,仅考虑矩形区域Ω=[0,1][0,1]。称剖分 为矩形Ω的四方向正规分划,或称四方向网。此剖分将Ω分成4mn个小三角单元ω_i。In this paper we will give the dimension and the basis with local support of the spaceof bivariate periodic spline functions.The result of this paper inducated that the dimension of the space is depended on the oddness or evennes of the number ofvertical and level meshlines.

关 键 词：样条函数空间 周期样条 基底 维数 

分 类 号：O241.5[理学—计算数学]