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Posts
Direct Methods for Sparse Matrices: A Comprehensive Guide
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In scientific computing and engineering applications, we frequently encounter large systems of linear equations that can be written as Ax = b. This equation represents a fundamental problem where:
Welcome to My Academic Website
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Welcome!
portfolio
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publications
Rapid Aerodynamic Design of Prop-Rotor with Optimization
Published in Chinese Journal of Turbomachinery, 2019
This paper presents a rapid aerodynamic design methodology for prop-rotors based on optimization techniques. The approach combines computational fluid dynamics (CFD) analysis with efficient optimization algorithms to achieve improved aerodynamic performance in a reduced design cycle time.
Parallel Level-Set Based Approach for Etching Topography Simulation
Published in International Conference on ASIC, 2025
This paper introduces a parallel level set method framework for simulating etching topography in semiconductor manufacturing. The approach leverages high-order numerical schemes and OpenMP-based parallelization to achieve efficient and accurate simulations of complex etching processes.
talks
Parallel Level-Set Based Approach for Etching Topography Simulation
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Abstract
teaching
Spectral and Algebraic Graph Theory
Graduate course, Tsinghua University, Department of Computer Science and Technology, 2025
This course provides a comprehensive introduction to spectral and algebraic graph theory, focusing on the interplay between graph structure and eigenvalues of associated matrices. The course covers both theoretical foundations and practical applications in computer science and engineering.
Algorithm for Sparse Matrix
Graduate course, Tsinghua University, Department of Computer Science and Technology, 2025
This course provides a comprehensive introduction to algorithms for sparse matrices, focusing on efficient storage schemes, computational techniques, and applications in scientific computing and machine learning.