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

Mitsuhiro T. Nakao, Yoshitaka Watanabe, Nobito Yamamoto

研究成果: ジャーナルへの寄稿記事

抜粋

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.

元の言語英語
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
発行部数2
DOI
出版物ステータス出版済み - 6 2001

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All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

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