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The present paper studies an error estimate for an approximation of the higher order derivatives of the solution of a semi-linear partial differential equation. A numerical scheme that requires the estimate is introduced, together with reviews of literature.

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On a Prolongation of the Nonlinear Stochastic Asymptotic Expansion of the Solution of a Semilinear PDE

  • 会议论文

  • 发表日期：

    2025年

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  • Sae Odaira,
  • Kaori Okuma

摘要

The present paper studies an error estimate for an approximation of the higher order derivatives of the solution of a semi-linear partial differential equation. A numerical scheme that requires the estimate is introduced, together with reviews of literature.