Submitted:

[18] Yongyong Cai, Yue Feng, Yichen Guo and Zhiguo Xu, Uniform and optimal error estimates of a nested Picard integrator for the nonlinear Schrodinger equation with wave operator.

[17] Yue Feng and Katharina Schratz, Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation.

Published:

[16] Weizhu Bao, Yongyong Cai and Yue Feng, Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation, IMA Journal of Numerical Analysis, 44(2), 654-679, 2024.

[15] Yue Feng, Georg Maierhofer and Katharina Schratz, Long-time error bounds of low-regularity integrators for nonlinear Schrodinger equations, Mathematics of Computation, 93(348), 1569-1598, 2024.

[14] Yue Feng and Ying Ma, Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrodinger equation, Communications in Mathematical Sciences, 22(1), 1-14, 2024.

[13] Yue Feng, Yichen Guo and Yongjun Yuan, Uniform error bound of an exponential wave integrator for long-time dynamics of the nonlinear Schrodinger equation with wave operator, East Asian Journal on Applied Mathematics, 13(4), 980-1003, 2023.

[12] Weizhu Bao, Yue Feng and Ying Ma, Regularized numerical methods for the nonlinear Schrodinger equation with singular nonlinearity, East Asian Journal on Applied Mathematics, 13(3), 646–670, 2023.

[11] Weizhu Bao, Yongyong Cai and Yue Feng, Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrodinger equation, Mathematics of Computation, 92(341), 1109–1139, 2023.

[10] Yue Feng and Ying Ma, Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime, Numerical Methods for Partial Differential Equations, 39(2), 955–974, 2023.

[9] Weizhu Bao, Yue Feng and Jia Yin, Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 20(3), 1040–1062, 2022.

[8] Weizhu Bao, Yongyong Cai and Yue Feng, Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity, SIAM Journal on Numerical Analysis, 60(4), 1962–1984, 2022.

[7] Yue Feng and Jia Yin, Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials, Journal of Computational and Applied Mathematics, 412, 114342, 2022.

[6] Weizhu Bao, Yue Feng and Chunmei Su, Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity, Mathematics of Computation, 91(334), 811–842, 2022.

[5] Yue Feng, Zhiguo Xu and Jia Yin, Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials, Applied Numerical Mathematics, 172, 50–66, 2022.

[4] Yue Feng and Wenfan Yi, Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein–Gordon equation, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 19(3), 1212–1235, 2021.

[3] Yue Feng, Improved error bounds of the Strang splitting method for the highly oscillatory fractional nonlinear Schrodinger equation, Journal of Scientific Computing, 88(2), article 48, 2021.

[2] Yue Feng, Long time error analysis of the fourth-order compact finite difference methods for the nonlinear Klein–Gordon equation with weak nonlinearity, Numerical Methods for Partial Differential Equations, 37(1), 897–914, 2021.

[1] Weizhu Bao, Yue Feng and Wenfan Yi, Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity, Communications in Computational Physics, 26(5), 1307–1334, 2019.