A discrete $C^1$ interpolant for tetrahedral data

A C1 Multivariate Clough–Tocher Interpolant

We show that in dimensions four and higher, to insure a smooth interpolant, additional geometric constraints must be imposed on the generalized Clough–Tocher split introduced in Worsey and Farin (Constr. Approx. 3:99–110, 1987).

C1 Natural Neighbor Interpolant for Partial Differential Equations

Natural neighbor coordinates [20] are optimum weighted-average measures for an irregular arrangement of nodes in R. [26] used the notion of Bézier simplices in natural neighbor coordinates Φ to propose a C interpolant. The C interpolant has quadratic precision in Ω ⊂ R, and reduces to a cubic polynomial between adjacent nodes on the boundary ∂Ω. We present the C formulation and propose a comput...

a new approach to credibility premium for zero-inflated poisson models for panel data

هدف اصلی از این تحقیق به دست آوردن و مقایسه حق بیمه باورمندی در مدل های شمارشی گزارش نشده برای داده های طولی می باشد. در این تحقیق حق بیمه های پبش گویی بر اساس توابع ضرر مربع خطا و نمایی محاسبه شده و با هم مقایسه می شود. تمایل به گرفتن پاداش و جایزه یکی از دلایل مهم برای گزارش ندادن تصادفات می باشد و افراد برای استفاده از تخفیف اغلب از گزارش تصادفات با هزینه پائین خودداری می کنند، در این تحقیق ...

A C1 Tetrahedral Finite Element without Edge Degrees of Freedom

A composite C tetrahedral finite element is developed which does not have any edge degrees of freedom. This eliminates the need to associate a basis for the planes perpendicular to each edge; such a basis can not depend continuously upon the edge orientation. The finite element space is piecewise polynomial over the four tetrahedra formed by adding the circumcenter, and their traces on each fac...

C1 Quintic Splines on Type-4 Tetrahedral Partitions