Yongyong Cai
Orcid: 0000-0002-3890-0878
According to our database1,
Yongyong Cai
authored at least 38 papers
between 2010 and 2024.
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Bibliography
2024
Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation.
CoRR, 2024
2023
Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen-Cahn Equation.
J. Sci. Comput., October, 2023
Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime.
Numer. Algorithms, September, 2023
Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation.
J. Comput. Phys., 2023
A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime.
J. Comput. Phys., 2023
2022
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation.
Math. Comput., November, 2022
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., August, 2022
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime.
Multiscale Model. Simul., 2022
Uniformly Accurate Nested Picard Iterative Integrators for the Klein-Gordon Equation in the Nonrelativistic Regime.
J. Sci. Comput., 2022
A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters.
J. Comput. Phys., 2022
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation.
CoRR, 2022
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation.
CoRR, 2022
2021
Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose-Einstein Condensates.
SIAM J. Sci. Comput., 2021
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential.
SIAM J. Numer. Anal., 2021
Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint.
J. Sci. Comput., 2021
Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates.
J. Comput. Phys., 2021
Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters.
CoRR, 2021
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation.
CoRR, 2021
2020
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime.
Math. Comput., 2020
J. Comput. Phys., 2020
2019
Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal., 2019
CoRR, 2019
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime.
CoRR, 2019
2018
Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime.
Math. Comput., 2018
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows.
Math. Comput., 2018
2017
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows.
Numerische Mathematik, 2017
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime.
J. Sci. Comput., 2017
2016
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal., 2016
2015
SIAM J. Appl. Math., 2015
2014
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal., 2014
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., 2014
2013
Analysis and Computation for Ground State Solutions of Bose-Fermi Mixtures at Zero Temperature.
SIAM J. Appl. Math., 2013
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation.
Math. Comput., 2013
2012
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator.
SIAM J. Numer. Anal., 2012
Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement.
SIAM J. Math. Anal., 2012
2010
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates.
J. Comput. Phys., 2010