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The filtered Lie splitting scheme is an established method for the numerical integration of the periodic nonlinear Schrödinger equation at low regularity. Its temporal convergence was recently analyzed in a framework of discrete Bourgain spaces in one and two space dimensions for initial data in $$H^s$$ with $$0

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Low Regularity Error Estimates for High Dimensional Nonlinear Schrödinger Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Lun Ji,
  • Alexander Ostermann

摘要

The filtered Lie splitting scheme is an established method for the numerical integration of the periodic nonlinear Schrödinger equation at low regularity. Its temporal convergence was recently analyzed in a framework of discrete Bourgain spaces in one and two space dimensions for initial data in $$H^s$$ with $$0