Yongyong Cai

According to our database1, Yongyong Cai authored at least 17 papers between 2010 and 2020.

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Bibliography

2020
Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates.
J. Comput. Phys., 2020

2019
Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime.
SIAM J. Numerical Analysis, 2019

Ground states and their characterization of spin-F Bose-Einstein condensates.
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. Numerical Analysis, 2016

2015
Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates.
SIAM Journal of Applied Mathematics, 2015

2014
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime.
SIAM J. Numerical Analysis, 2014

Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator.
SIAM J. Numerical Analysis, 2014

2013
Analysis and Computation for Ground State Solutions of Bose-Fermi Mixtures at Zero Temperature.
SIAM Journal of Applied Mathematics, 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. Numerical Analysis, 2012

Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement.
SIAM J. Math. Analysis, 2012

2010
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates.
J. Comput. Phys., 2010


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