Main Work

MADO

Jul 2024 - Present

MADO (Minimalistic Application Display Orchestrator) is an open-source library that brings advanced window system features to smaller devices.

In this project, my role is that of a reviewer for numerical analysis, such as the polynomial approximation of fixed points for the sine function and improvements to fixed point Bézier curves. Additionally, I am also attempting to introduce SDL2 to replace the code that depends on Xlib.

Features: fixed-point arithmetic

Time-fractional Allen-Cahn Eqaution Solver

Feb 2023 - Aug 2023

TfAC_solver An implement that solves the Allen-Cahn equation with respect to fractional derivatives in time.

$$ {}_CD_t^{\alpha} u = \epsilon^2 \Delta u -W'(u) $$

where $\displaystyle {}_CD_t^{\alpha} u=\int_0^t \frac{(t-s)^{\alpha}}{\Gamma{(1-\alpha)}}u'(s)d$ represents the Caputo derivative with respect to time for $u$.

An Ardiuno UNO Tutorial for Beginner

Oct 2023 - Oct 2023

ardiuno_UNO_tutorial This is an example repo for teaching high school students how to use Arduino UNO and program some easy eaxmples. Written in Traditional Chinese.