Beihui Yuan

activity

20192025

P^{n}

and Gorenstein rings

2 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AC2023

Planar splines on a triangulation with a single totally interior edge

Michael DiPasquale, Beihui Yuan

We derive an explicit formula, valid for all integers $r, d \geq 0$ , for the dimension of the vector space $C_{d}^{r} (Δ)$ of piecewise polynomial functions continuously differentiable to…

math.CO2023

Multivariate polynomial splines on generalized oranges

Maritza Sirvent, Tatyana Sorokina, Nelly Villamizar +1

We consider spaces of multivariate splines defined on a particular type of simplicial partitions that we call (generalized) oranges. Such partitions are composed of a finite number…

math.NA2023

An algebraic framework for geometrically continuous splines

Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar +1

Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called $G^{r}$ -…