Yongyong Cai

发表

A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime

Xiaowei Jia, Weizhu Bao, Qinglin Tang, 2015, SIAM J. Numer. Anal..

Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates

Hanquan Wang, Weizhu Bao, Yongyong Cai, 2010, J. Comput. Phys..

Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows

Jie Shen, Yongyong Cai, Jie Shen, 2018, Math. Comput..

Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement

Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai, 2012, SIAM J. Math. Anal..

Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime

Yan Wang, Yongyong Cai, Yan Wang, 2019, SIAM J. Numer. Anal..

A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime

Weizhu Bao, Xiaofei Zhao, Yongyong Cai, 2014, SIAM J. Numer. Anal..

Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

Jie Shen, Heejun Choi, Yongyong Cai, 2017, Numerische Mathematik.

Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime

Xiaowei Jia, Weizhu Bao, Qinglin Tang, 2015, J. Sci. Comput..

Ground States of Spin-F Bose-Einstein Condensates

Xinming Wu, Zaiwen Wen, Yongyong Cai, 2020, SIAM J. Sci. Comput..

Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime

Weizhu Bao, Jia Yin, Yongyong Cai, 2018, Math. Comput..

Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

Weizhu Bao, Yongyong Cai, W. Bao, 2012, SIAM J. Numer. Anal..

Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime pdf

Weizhu Bao, Jia Yin, Yongyong Cai, 2019, ArXiv.

Ground states and their characterization of spin-F Bose-Einstein condensates pdf

Xinming Wu, Zaiwen Wen, Yongyong Cai, 2019, ArXiv.

Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates

Weizhu Bao, Yongyong Cai, W. Bao, 2014, SIAM J. Appl. Math..

Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates

Yongyong Cai, Yali Gao, Yongyong Cai, 2020, J. Comput. Phys..

Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

Weizhu Bao, Yongyong Cai, W. Bao, 2012, Math. Comput..

Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator

Weizhu Bao, Yongyong Cai, W. Bao, 2013, SIAM J. Numer. Anal..

Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime

Yongyong Cai, Yongjun Yuan, Yongyong Cai, 2018, Math. Comput..

Analysis and Computation for Ground State Solutions of Bose-Fermi Mixtures at Zero Temperature

Hanquan Wang, Yongyong Cai, Yongyong Cai, 2013, SIAM J. Appl. Math..

Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters pdf

Yongyong Cai, Jingrun Chen, Cheng Wang, 2021, ArXiv.

Uniformly accurate nested Picard integrators for a system of oscillatory ordinary differential equations

Yongyong Cai, Yichen Guo, 2021 .

Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates

Yongyong Cai, Wei Liu, Yongyong Cai, 2021, J. Comput. Phys..

Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity pdf

Weizhu Bao, Yongyong Cai, Yue Feng, 2021, SIAM J. Numer. Anal..

Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen–Cahn Equation with Nonlocal Constraint

Lili Ju, Xinlong Feng, Yongyong Cai, 2021, Journal of Scientific Computing.

Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential

Weizhu Bao, Yongyong Cai, Jia Yin, 2019, SIAM J. Numer. Anal..

Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose-Einstein Condensates

Yongyong Cai, Wei Liu, Yongyong Cai, 2021, SIAM J. Sci. Comput..

Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates

Weizhu Bao, Matthias Rosenkranz, Yongyong Cai, 2012, 1201.6176.

Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions

Weizhu Bao, Matthias Rosenkranz, Yongyong Cai, 2010, 1006.4950.

A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals

Jie Shen, Xiang Xu, Yongyong Cai, 2017 .

Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction

Weizhu Bao, Yongyong Cai, 2011 .