Verified numerical computations for multiple and nearly multiple eigenvalues of elliptic operators

K. Toyonaga, M. T. Nakao, Yoshitaka Watanabe

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

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In this paper, we propose a numerical method to verify bounds for multiple eigenvalues for elliptic eigenvalue problems. We calculate error bounds for approximations of multiple eigenvalues and base functions of the corresponding invariant subspaces. For matrix eigenvalue problems, Rump (Linear Algebra Appl. 324 (2001) 209) recently proposed a validated numerical method to compute multiple eigenvalues. In this paper, we extend his formulation to elliptic eigenvalue problems, combining it with a method developed by one of the authors (Jpn. J. Indust. Appl. Math. 16 (1998) 307).

元の言語英語
ページ(範囲)175-190
ページ数16
ジャーナルJournal of Computational and Applied Mathematics
147
発行部数1
DOI
出版物ステータス出版済み - 10 1 2002

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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