Scholarlink

We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a sixth-order convergence rate for long times. This scheme outperforms the standard fourth-order Finite Difference scheme. We also demonstrate that the proposed scheme is a particular type of nodal-based Discontinuous Galerkin method with \(p=1\) .

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A High Order Block Finite Difference, Error Inhibiting Scheme for the Transport Equation

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Adi Ditkowski,
  • Anne Le Blanc,
  • Chi-Wang Shu

摘要

We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a sixth-order convergence rate for long times. This scheme outperforms the standard fourth-order Finite Difference scheme. We also demonstrate that the proposed scheme is a particular type of nodal-based Discontinuous Galerkin method with \(p=1\) .