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 | 32 | 2022 |
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 | 31 | 2022 |
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 | 31 | 2019 |
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 | 25 | 2021 |
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 | 22 | 2023 |
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 | 20 | 2022 |
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 | 18 | 2021 |
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 | 14 | 2022 |
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 | 13 | 2022 |
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 | 9 | 2024 |
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 | 6 | 2021 |
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation Y Feng, K Schratz Numerische Mathematik, 1-23, 2024 | 4 | 2024 |
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 IMA Journal of Numerical Analysis 44 (2), 654-679, 2024 | 4 | 2024 |
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 | 4 | 2023 |
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 | 3 | 2023 |
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 | 2 | 2024 |
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 | 2 | 2023 |
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation W Bao, Y Cai, F Yue arXiv preprint arXiv:2203.05886, 2022 | 2 | 2022 |
Uniform and optimal error estimates of a nested Picard integrator for the nonlinear Schrödinger equation with wave operator Y Cai, Y Feng, Y Guo, Z Xu Numerical Methods for Partial Differential Equations, e23135, 0 | | |