Regular biography
Yanghong Huang is a Lecturer in Applied Mathematics at the University of Manchester, School of Mathematics. Her research interests include applied analysis for differential and integral equations from mathematical biology and collective behaviours of particle systems; asymptotic analysis of steady states and solutions close to blowup; numerical methods for gradient flow systems and equations with nonlocal interactions; and numerical methods for fractional Laplacians. She has contributed to research areas such as pattern formation, finite volume methods, self-similar solutions, and nonlocal phase transitions. Her work aligns with the United Nations Sustainable Development Goal 3, Good Health and Well-being.
Scholar-generated biography
Yanghong Huang is a mathematician at The University of Manchester, specializing in applied mathematics, partial differential equations, and numerical analysis. Their research focuses on developing numerical methods for fractional Laplacian equations, nonlinear nonlocal equations, and aggregation models. Huang's work explores the dynamics of swarm behavior, equilibria in nonlocal cross-diffusion models, and the mathematical modeling of physical processes such as laser directed energy deposition. They have also contributed to the study of gradient flows, fractional porous medium equations, and Coulomb collision operators, emphasizing the interplay between analytical and computational approaches in solving complex mathematical problems.