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Cai, Yongyong; Tong, Fenghua| Positivity preserving and mass conservative projection methods for the Patlak-Keller-Segel equation, APPLIED NUMERICAL MATHEMATICS, 2026, 221 :63-79
Wu, Yong; Liu, Chengyang; Cai, Yongyong| Normalized flows based on Sobolev gradients for computing ground states of spinor Bose-Einstein condensates, JOURNAL OF COMPUTATIONAL PHYSICS, 2025, 538
Shen, Xiaojuan; Cai, Yongyong| Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows, APPLIED NUMERICAL MATHEMATICS, 2025, 207 :585-607
Shi, Qingyuan; Cai, Yongyong; Zhuang, Chijie; Lin, Bo; Wu, Dan; Zeng, Rong; Bao, Weizhu| A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices, JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 519
Cai, Yongyong; Feng, Yue; Guo, Yichen; Xu, Zhiguo| Uniform and optimal error estimates of a nested Picard integrator for the nonlinear Schrodinger equation with wave operator, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (6)
Bao, Weizhu; Cai, Yongyong; Feng, Yue| Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation, IMA JOURNAL OF NUMERICAL ANALYSIS, 2024, 44 (2) :654-679
Tong, Fenghua; Cai, Yongyong| POSITIVITY PRESERVING AND MASS CONSERVATIVE PROJECTION METHOD FOR THE POISSON--NERNST--PLANCK EQUATION, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2024, 62 (4) :2004-2024
Cai, Yongyong; Chen, Jingrun; Wang, Cheng; Xie, Changjian| Error analysis of a linear numerical scheme for the Landau-Lifshitz equation with large damping parameters, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) :18952-1897
Zhou, Xuanxuan; Cai, Yongyong; Tang, Xingdong; Xu, Guixiang| Accurate and efficient numericalmethods for the nonlinear Schrodinger equation with Dirac delta potential, CALCOLO, 2023, 60 (4)
Li, Jingwei; Lan, Rihui; Cai, Yongyong; Ju, Lili; Wang, Xiaoqiang| Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen-Cahn Equation, JOURNAL OF SCIENTIFIC COMPUTING, 2023, 97 (1)

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