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Eigenvalues of the non-homogeneous rectangular membrane by finite difference methods

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Publication:1130745
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DOI10.1007/BF00253339zbMath0108.37802MaRDI QIDQ1130745

Bert Hubbard

Publication date: 1962

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

mechanics of solids



Related Items (5)

Lower bounds for all eigenvalues by cell functions. A refined form of H. F. Weinberger's method ⋮ Diskrete Approximation von Eigenwertproblemen. I: Qualitative Konvergenz ⋮ Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung ⋮ Bounds for eigenvalues of the Sturm-Liouville problem by finite difference methods ⋮ Numerical methods for spectral theory



Cites Work

  • Lower bounds for higher eigenvalues by finite difference methods
  • Bounds for eigenvalues of the free and fixed membrane by finite difference methods
  • Asymptotic lower bounds for the frequencies of certain polygonal membranes
  • Upper and lower bounds for eigenvalues by finite difference methods
  • Variational methods for the solution of problems of equilibrium and vibrations
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