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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
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)
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)
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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