33 citations · 80 across the 13 of their papers we have counts for
4 papers · 1 filter
Harmonic functions on finitely-connected tori
Chiu-Yen Kao, Braxton Osting, Édouard Oudet
In this paper, we prove a Logarithmic Conjugation Theorem on finitely-connected tori. The theorem states that a harmonic function can be written as the real part of a function whos…
A Numerical Study of Steklov Eigenvalue Problem via Conformal Mapping
Weaam Alhejaili, Chiu-Yen Kao
In this paper, a spectral method based on conformal mappings is proposed to solve Steklov eigenvalue problems and their related shape optimization problems in two dimensions. To ap…
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations
Xiaobing Feng, Chiu-Yen Kao, Thomas Lewis
This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully…
Bounded domain problem for the modified Buckley-Leverett equation
Ying Wang, Chiu-Yen Kao
The focus of the present study is the modified Buckley-Leverett (MBL) equation describing two-phase flow in porous media. The MBL equation differs from the classical Buckley-Levere…