40 citations · 40 across the 3 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2024
Multivariate Splines and Their Applications
Ming-Jun Lai
This paper begins by reviewing numerous theoretical advancements in the field of multivariate splines, primarily contributed by Professor Larry L. Schumaker. These foundational res…
math.NA2023
A Bivariate Spline based Collocation Method for Numerical Solution to Optimal Transport Problem
Ming-Jun Lai, Jinsil Lee
In this paper, we study a spline collocation method for a numerical solution to the optimal transport problem We mainly solve the \MAE with the second boundary condition numericall…
math.NA2022
On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation
Chongyang Deng, Ming-Jun Lai
We first extend the construction of generalized barycentric coordinates (GBC) based on the vertices on the boundary of a polygon to a new kind of GBCs based on vertices inside…