Yan Liang

Bridging Abstract Theory and Digital Reality: A Collaborative Filtering Teaching Case for Linear Algebra Instruction

Yan Liang & Chi Ma · Asian Journal of Education and Social Studies · 2026

This paper presents a linear algebra teaching case built around collaborative filtering recommendation systems, using familiar digital platforms such as Netflix, TikTok, and Taobao as motivating examples. The case is designed to help students connect abstract concepts in linear a...

Open access Research Article 10.9734/ajess/2026/v52i42950

Fostering Higher-order Thinking in Advanced Mathematics: A Problem-driven Approach Using Knowledge Graphs

Yan Liang · Asian Journal of Education and Social Studies · 2026

In advanced mathematics education, compartmentalized knowledge acquisition and inadequate development of higher-order thinking skills remain persistent challenges. This study introduces a problem-driven teaching model that incorporates knowledge graphs as a cognitive framework to...

Open access Research Article 10.9734/ajess/2026/v52i22841

Existence of Coupled Quasi-solutions of Nonlinear Integro-Differential Equations of Volterra Type in Banach Spaces

Yan Liang · Journal of Advances in Mathematics and Computer Science · 2014

We study an initial value problem for a class of integro-differential equations of Volterra type in a real Banach space. Using method of upper and lower solutions and M¨onch and Von Harten theorem, we obtain an existence theorem of coupled quasi-solutions, which is an extension o...

Open access Research Article 10.9734/BJMCS/2015/13726