Junqing Jia

most citedImproved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity

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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 $d$ -dimensional $(d = 2, 3)$ nonlinear space fractional sine-Gordon equation (NSFSGE). The…

math.NA2023★ 1 cited

Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity

Junqing Jia, Xiaoyun Jiang

An improved uniform error bound at $O (h^{m} + ε^{2} τ^{2})$ is established in $H^{α /2}$ -norm for the long-time dynamics of the nonlinear space fractional Klein-Gordon…