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Yue Feng
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Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity
W Bao, Y Feng, C Su
Mathematics of Computation 91 (334), 811-842, 2022
312022
Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity
W Bao, Y Feng, W Yi
Communications in Computational Physics 26 (5), 1307-1334, 2019
312019
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein--Gordon equation with weak nonlinearity
W Bao, Y Cai, Y Feng
SIAM Journal on Numerical Analysis 60 (4), 1962-1984, 2022
272022
Long time error analysis of the fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation with weak nonlinearity
Y Feng
Numerical Methods for Partial Differential Equations 37 (1), 897-914, 2021
252021
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation
W Bao, Y Cai, Y Feng
Mathematics of Computation 92 (341), 1109-1139, 2023
182023
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials
W Bao, Y Feng, J Yin
Multiscale Modeling & Simulation 20 (3), 1040-1062, 2022
182022
Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation
Y Feng, W Yi
Multiscale Modeling & Simulation 19 (3), 1212-1235, 2021
162021
Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials
Y Feng, J Yin
Journal of Computational and Applied Mathematics 412, 114342, 2022
142022
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials
Y Feng, Z Xu, J Yin
Applied Numerical Mathematics 172, 50-66, 2022
132022
Improved error bounds of the Strang splitting method for the highly oscillatory fractional nonlinear Schrödinger equation
Y Feng
Journal of Scientific Computing 88 (2), 48, 2021
62021
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations
Y Feng, G Maierhofer, K Schratz
Mathematics of Computation 93 (348), 1569-1598, 2024
52024
Regularized numerical methods for the nonlinear Schr\" odinger equation with singular nonlinearity
W Bao, Y Feng, Y Ma
East Asian Journal on Applied Mathematics 13 (3), 646-670, 2023
42023
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine--Gordon equation
Y Feng, K Schratz
arXiv preprint arXiv:2211.09402, 2022
42022
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation
W Bao, Y Cai, Y Feng
arXiv preprint arXiv:2203.05886, 2022
42022
Uniform error bound of an exponential wave integrator for the long-time dynamics of the nonlinear Schr\" odinger equation with wave operator
Y Feng, Y Guo, Y Yuan
East Asian Journal on Applied Mathematics 13 (4), 980-1003, 2023
12023
Error bounds of fourth‐order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Y Feng, Y Ma
Numerical Methods for Partial Differential Equations 39 (2), 955-974, 2023
12023
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation
Y Feng, Y Ma
Communications in Mathematical Sciences 22 (1), 1-14, 2024
2024
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