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Yongyong Cai
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2020 – today
- 2024
- [j33]Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao:
A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices. J. Comput. Phys. 519: 113422 (2024) - [j32]Fenghua Tong, Yongyong Cai:
Positivity Preserving and Mass Conservative Projection Method for the Poisson-Nernst-Planck Equation. SIAM J. Numer. Anal. 62(4): 2004-2024 (2024) - [i10]Fenghua Tong, Yongyong Cai:
Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. CoRR abs/2403.04291 (2024) - [i9]Xuanxuan Zhou, Tingchun Wang, Yong Wu, Yongyong Cai:
Error estimates of a regularized finite difference method for the Logarithmic Schr\"{o}dinger equation with Dirac delta potential. CoRR abs/2404.15791 (2024) - [i8]Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao:
A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices. CoRR abs/2408.09692 (2024) - 2023
- [j31]Rihui Lan, Jingwei Li, Yongyong Cai, Lili Ju
:
Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation. J. Comput. Phys. 472: 111695 (2023) - [j30]Yongyong Cai, Wenfan Yi:
A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime. J. Comput. Phys. 486: 112105 (2023) - [j29]Jingwei Li, Rihui Lan, Yongyong Cai, Lili Ju
Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen-Cahn Equation. J. Sci. Comput. 97(1): 7 (2023) - [j28]Yongyong Cai, Xuanxuan Zhou:
Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime. Numer. Algorithms 94(1): 371-396 (2023) - 2022
- [j27]Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie:
A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. J. Comput. Phys. 451: 110831 (2022) - [j26]Yongyong Cai, Xuanxuan Zhou
Uniformly Accurate Nested Picard Iterative Integrators for the Klein-Gordon Equation in the Nonrelativistic Regime. J. Sci. Comput. 92(2): 53 (2022) - [j25]Yongyong Cai, Yan Wang
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime. Multiscale Model. Simul. 20(1): 164-187 (2022) - [j24]Weizhu Bao, Yongyong Cai, Yue Feng:
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation. Math. Comput. 92(341): 1109-1139 (2022) - [j23]Weizhu Bao
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. 60(4): 1962-1984 (2022) - [i7]Weizhu Bao, Yongyong Cai, Yue Feng:
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation. CoRR abs/2203.05886 (2022) - [i6]Yongyong Cai, Lili Ju, Rihui Lan, Jingwei Li:
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation. CoRR abs/2210.07827 (2022) - 2021
- [j22]Yongyong Cai, Wei Liu
Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates. J. Comput. Phys. 433: 110183 (2021) - [j21]Jingwei Li, Lili Ju
Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint. J. Sci. Comput. 87(3): 98 (2021) - [j20]Weizhu Bao, Yongyong Cai, Jia Yin:
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential. SIAM J. Numer. Anal. 59(2): 1040-1066 (2021) - [j19]Wei Liu
Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose-Einstein Condensates. SIAM J. Sci. Comput. 43(1): B219-B242 (2021) - [i5]Weizhu Bao, Yongyong Cai, Yue Feng:
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation. CoRR abs/2109.08940 (2021) - [i4]Weizhu Bao, Yongyong Cai, Yue Feng:
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. CoRR abs/2109.14902 (2021) - [i3]Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie:
Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters. CoRR abs/2111.07537 (2021) - 2020
- [j18]Yali Gao
Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates. J. Comput. Phys. 403 (2020) - [j17]Yongyong Cai
Stationary state computation for nonlinear Dirac operators. J. Comput. Phys. 420: 109679 (2020) - [j16]Weizhu Bao, Yongyong Cai
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Math. Comput. 89(325): 2141-2173 (2020) - [j15]Tonghua Tian, Yongyong Cai, Xinming Wu, Zaiwen Wen:
Ground States of Spin-F Bose-Einstein Condensates. SIAM J. Sci. Comput. 42(4): B983-B1013 (2020)
2010 – 2019
- 2019
- [j14]Yongyong Cai
Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. 57(4): 1602-1624 (2019) - [i2]Weizhu Bao, Yongyong Cai, Jia Yin:
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime. CoRR abs/1906.11101 (2019) - [i1]Tonghua Tian, Yongyong Cai, Xinming Wu, Zaiwen Wen:
Ground states and their characterization of spin-F Bose-Einstein condensates. CoRR abs/1907.01194 (2019) - 2018
- [j13]Yongyong Cai
Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime. Math. Comput. 87(311): 1191-1225 (2018) - [j12]Yongyong Cai
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Math. Comput. 87(313): 2057-2090 (2018) - 2017
- [j11]Weizhu Bao
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime. J. Sci. Comput. 71(3): 1094-1134 (2017) - [j10]Yongyong Cai
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Numerische Mathematik 137(2): 417-449 (2017) - 2016
- [j9]Weizhu Bao
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. 54(3): 1785-1812 (2016) - 2015
- [j8]Weizhu Bao
Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates. SIAM J. Appl. Math. 75(2): 492-517 (2015) - 2014
- [j7]Weizhu Bao
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. 52(3): 1103-1127 (2014) - [j6]Weizhu Bao
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. 52(5): 2488-2511 (2014) - 2013
- [j5]Weizhu Bao
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Math. Comput. 82(281): 99-128 (2013) - [j4]Yongyong Cai
Analysis and Computation for Ground State Solutions of Bose-Fermi Mixtures at Zero Temperature. SIAM J. Appl. Math. 73(2): 757-779 (2013) - 2012
- [j3]Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai
Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement. SIAM J. Math. Anal. 44(3): 1713-1741 (2012) - [j2]Weizhu Bao
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator. SIAM J. Numer. Anal. 50(2): 492-521 (2012) - 2010
- [j1]Weizhu Bao
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. J. Comput. Phys. 229(20): 7874-7892 (2010)
Coauthor Index
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