ラプラス作用素のCauchy問題の解の接続に関するいくつかの数値計算  [in Japanese] Some numerical experiments for continuation problems of the two-dimensional Laplace operator  [in Japanese]

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Abstract

2次元のラプラス作用素のCauchy問題の解の接続に関していくつかの数値計算を行った。数値計算法として、差分法とスペクトル選点法を用いて、多倍長計算により数値計算を行った。Cauchy問題の解の特異性の有無によって異なる数値計算結果が得られた。

In the research Cauchy problems for the two-dimensional Laplace operator is simulated. Numerical simulations are carried out by using two different numerical methods. One is the finite difference method with multiple precision arithmetic. Another one is IPNS. Both methods give different results for the continuation problems.

Journal

  • NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

    NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 57(0), 239-239, 2008

    National Committee for IUTAM

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