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math.NA2025
Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
Junqing Jia, Xiaoyun Jiang
We establish optimal error bounds on an exponential wave integrator (EWI) for the space fractional nonlinear Schrödinger equation (SFNLSE) with low regularity potential and/or nonl…
math.NA2024
Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity
Junqing Jia, Xiaoqing Chi, Xiaoyun Jiang
In this paper, we derive the improved uniform error bounds for the long-time dynamics of the -dimensional nonlinear space fractional sine-Gordon equation (NSFSGE). The…