Verified Numerical Computations for an Inverse Elliptic Eigenvalue Problem with Finite Data

Mitsuhiro T. Nakao*, Yoshitaka Watanabe, Nobito Yamamoto

*この研究の対応する著者

研究成果: Article査読

抄録

We consider a numerical enclosure method for solutions of an inverse Dirichlet eigenvalue problem. When the finite number of prescribed eigenvalues are given, we reconstruct a potential function, with guaranteed error bounds, for which the corresponding elliptic operator exactly has those eigenvalues including the ordering property. All computations are executed with numerical verifications based upon the finite and infinite fixed point theorems using interval arithmetic. Therefore, the results obtained are mathematically correct. We present numerical examples which confirm us the enclosure algorithm works on real problems.

本文言語English
ページ(範囲)587-602
ページ数16
ジャーナルJapan Journal of Industrial and Applied Mathematics
18
2
出版ステータスPublished - 2001 6
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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