2 papers
math.NA2026
Well-Conditioned Birkhoff-Collocation Methods for Elliptic-type Problems in Multiple Dimensions
Shunchang Li, Zixuan Gao, Yujian Jiao +1
Collocation methods based on Birkhoff interpolation at Gaussian-type points are well-conditioned for one-dimensional initial and boundary value problems [Wang et al., {\em SIAM J.…
math.NA2025
Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences
Shuaifei Hu, Yujian Jiao, Desong Kong +1
We introduce suitable coordinate systems for pipes and their variants that allow us to transform partial differential equations (PDEs) on the pipe surfaces or in the solid pipes in…