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Temporal Error Growth of Strang Splitting Method for the Periodic Cubic NLS

Feng, Yue et al.
arXiv (OAI Expanded) · Papers
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65m15numerical-analysis
We study the temporal error growth of the Strang splitting method for the periodic cubic nonlinear Schrödinger (NLS) equation. The leading error is governed by a forced linearized equation, whose growth depends sharply on dimension and the sign of the nonlinearity. In the 1D defocusing case, we prov
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