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An eigenvalue problem for a system of finite difference equations approximating a linear water wave equation

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Publication:1185119
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DOI10.1007/BF03167196zbMath0745.76053OpenAlexW2088255893MaRDI QIDQ1185119

Mihoko Matsuki, Teruo Ushijima

Publication date: 28 June 1992

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167196


zbMATH Keywords

finite element methodrectangular regionanalytical representationsFriedrichs-Keller type triangulationgeneralized mass matrix


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)




Cites Work

  • Unnamed Item
  • Convergence of the finite element method applied to the eigenvalue problem \(\Delta u+\lambda u=0\)
  • Selective lumping finite element method for shallow water flow


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