ルジャンドル多項式の零点に関する精度保証付き数値計算法の研究

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  • ルジャンドル タコウシキ ノ レイテン ニ カンスル セイド ホショウ ツキ スウチ ケイサンホウ ノ ケンキュウ
  • The Study for Verified Inclusion of Zeros of Legendre Polynomials

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We consider methods to compute a verified inclusion of zeros of Legendre polynomials that is used as the nodes of the Gaussian Legendre quadrature. It is known that a numerical calculation includes computation errors such as a rounding error and a discretization error. The number of operations in the numerical computation increases due to the enormous improvement of computer performance and the complexity of numerical analysis, and the computation errors have a significant effect on numerical results. Therefore, it is necessary to develop a verification method to take into account computation errors. In numerical analysis, numerical integration is used in various situations such as elements of

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