Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction. - Weizhu Bao; Xinran Ruan (Asymptot. Anal., 2018)

A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction. - Xinran Ruan (J. Comput. Phys., 2018)

Optimal Resolution Methods for the Klein-Gordon-Dirac System in the Nonrelativistic Limit Regime. - Wenfan Yi; Xinran Ruan; Chunmei Su (J. Sci. Comput., 2019)

Computing Ground States of Bose-Einstein Condensates with Higher Order Interaction via a Regularized Density Function Formulation. - Weizhu Bao; Xinran Ruan (SIAM J. Sci. Comput., 2019)

An asymptotic preserving scheme for a tumor growth model of porous medium type. - Noemi David; Xinran Ruan (CoRR, 2021)

An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics. - Luís Almeida 003; Benoît Perthame; Xinran Ruan (J. Comput. Phys., 2022)