Developments of Multi-Dimensional Compact Difference Formulas and Its Calculation Method

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  • 多次元コンパクト差分法の開発とその計算法
  • タジゲン コンパクト サブンホウ ノ カイハツ ト ソノ ケイサンホウ

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The aim of this paper is to derivate a compact difference method using multi-dimensional stencils. We report that the implicit LU decomposition for the formula is exactly written. Some convection difference schemes are proposed using the multi-dimensional compact difference method. Numerical experiences are showed to verify the performance of difference schemes proposed in this paper.

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