Yongyong Cai - RankMe

47 papers Journal 47

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Efficient and stable diffusion generated methods for ground state computation in Bose-Einstein condensates. J. Sci. Comput. Jing Guo, Yongyong Cai, Dong Wang
2025	J	`jnl`	Conservative Crank-Nicolson-type and compact finite difference schemes for modeling the Schrödinger equation with point nonlinearity. Appl. Math. Lett. Yong Wu, Fenghua Tong, Xuanxuan Zhou, Yongyong Cai
2025	J	`jnl`	Efficient and stable diffusion generated methods for ground state computation in Bose-Einstein condensates. CoRR Jing Guo, Yongyong Cai, Dong Wang
2025	J	`jnl`	Normalized flows based on Sobolev gradients for computing ground states of spinor Bose-Einstein condensates. J. Comput. Phys. Yong Wu, Chengyang Liu, Yongyong Cai
2024	J	`jnl`	A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices. CoRR Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao
2024	J	`jnl`	A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices. J. Comput. Phys. Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao
2024	J	`jnl`	Error estimates of a regularized finite difference method for the Logarithmic Schr\"{o}dinger equation with Dirac delta potential. CoRR Xuanxuan Zhou, Tingchun Wang, Yong Wu, Yongyong Cai
2024	J	`jnl`	Positivity Preserving and Mass Conservative Projection Method for the Poisson-Nernst-Planck Equation. SIAM J. Numer. Anal. Fenghua Tong, Yongyong Cai
2024	J	`jnl`	Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. CoRR Fenghua Tong, Yongyong Cai
2023	J	`jnl`	A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime. J. Comput. Phys. Yongyong Cai, Wenfan Yi
2023	J	`jnl`	Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation. J. Comput. Phys. Rihui Lan, Jingwei Li, Yongyong Cai, Lili Ju
2023	J	`jnl`	Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen-Cahn Equation. J. Sci. Comput. Jingwei Li, Rihui Lan, Yongyong Cai, Lili Ju, Xiaoqiang Wang
2023	J	`jnl`	Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime. Numer. Algorithms Yongyong Cai, Xuanxuan Zhou
2022	J	`jnl`	A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. J. Comput. Phys. Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie
2022	J	`jnl`	Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein-Gordon Equation with Weak Nonlinearity. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai, Yue Feng
2022	J	`jnl`	Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation. Math. Comput. Weizhu Bao, Yongyong Cai, Yue Feng
2022	J	`jnl`	Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation. CoRR Weizhu Bao, Yongyong Cai, Yue Feng
2022	J	`jnl`	Stabilized exponential time differencing schemes for the convective Allen-Cahn equation. CoRR Yongyong Cai, Lili Ju, Rihui Lan, Jingwei Li
2022	J	`jnl`	Uniformly Accurate Nested Picard Iterative Integrators for the Klein-Gordon Equation in the Nonrelativistic Regime. J. Sci. Comput. Yongyong Cai, Xuanxuan Zhou
2022	J	`jnl`	Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime. Multiscale Model. Simul. Yongyong Cai, Yan Wang
2021	J	`jnl`	Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters. CoRR Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie
2021	J	`jnl`	Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates. J. Comput. Phys. Yongyong Cai, Wei Liu
2021	J	`jnl`	Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation. CoRR Weizhu Bao, Yongyong Cai, Yue Feng
2021	J	`jnl`	Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. CoRR Weizhu Bao, Yongyong Cai, Yue Feng
2021	J	`jnl`	Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose-Einstein Condensates. SIAM J. Sci. Comput. Wei Liu, Yongyong Cai
2021	J	`jnl`	Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint. J. Sci. Comput. Jingwei Li, Lili Ju, Yongyong Cai, Xinlong Feng
2021	J	`jnl`	Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai, Jia Yin
2020	J	`jnl`	Ground States of Spin-F Bose-Einstein Condensates. SIAM J. Sci. Comput. Tonghua Tian, Yongyong Cai, Xinming Wu, Zaiwen Wen
2020	J	`jnl`	Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates. J. Comput. Phys. Yali Gao, Yongyong Cai
2020	J	`jnl`	Stationary state computation for nonlinear Dirac operators. J. Comput. Phys. Yongyong Cai, Emmanuel Lorin
2020	J	`jnl`	Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Math. Comput. Weizhu Bao, Yongyong Cai, Jia Yin
2019	J	`jnl`	Ground states and their characterization of spin-F Bose-Einstein condensates. CoRR Tonghua Tian, Yongyong Cai, Xinming Wu, Zaiwen Wen
2019	J	`jnl`	Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime. CoRR Weizhu Bao, Yongyong Cai, Jia Yin
2019	J	`jnl`	Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. Yongyong Cai, Yan Wang
2018	J	`jnl`	Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Math. Comput. Yongyong Cai, Jie Shen
2018	J	`jnl`	Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime. Math. Comput. Yongyong Cai, Yongjun Yuan
2017	J	`jnl`	Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Numerische Mathematik Yongyong Cai, Heejun Choi, Jie Shen
2017	J	`jnl`	Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime. J. Sci. Comput. Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
2016	J	`jnl`	A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
2015	J	`jnl`	Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates. SIAM J. Appl. Math. Weizhu Bao, Yongyong Cai
2014	J	`jnl`	A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai, Xiaofei Zhao
2014	J	`jnl`	Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai
2013	J	`jnl`	Analysis and Computation for Ground State Solutions of Bose-Fermi Mixtures at Zero Temperature. SIAM J. Appl. Math. Yongyong Cai, Hanquan Wang
2013	J	`jnl`	Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Math. Comput. Weizhu Bao, Yongyong Cai
2012	J	`jnl`	Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement. SIAM J. Math. Anal. Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai
2012	J	`jnl`	Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator. SIAM J. Numer. Anal. Weizhu Bao, Yongyong Cai
2010	J	`jnl`	Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. J. Comput. Phys. Weizhu Bao, Yongyong Cai, Hanquan Wang