Erchuan Zhang

Erchuan Zhang is an Adjunct Research Fellow at the School of Physics, Mathematics and Computing, The University of Western Australia. His research focuses on differential geometry, computational geometry, and numerical analysis, particularly in the areas of Riemannian manifolds, geodesics, and variational curves.

Dr. Zhang's work centers on geometric modeling and optimization on non-Euclidean spaces, with significant contributions to cubic curve construction via the de Casteljau algorithm on manifolds and efficient computation of multi-objective variational curves. His research bridges theoretical differential geometry with practical computational methods for solving complex geometric problems.

Recent publications (2022-2025) consistently address geometric modeling on manifolds, featuring themes like geodesic convergence analysis, boundary value problem solutions for Lagrangian systems, and cubic curve generalizations. These works appear in high-impact journals including Computer Aided Geometric Design and the SIAM Journal on Numerical Analysis, reflecting strong interdisciplinary connections between pure mathematics and computational science.