Curve Veering for the Parameter-dependent Clamped Plate

DOI10.1007/978-3-319-31769-4_21zbMath1354.74123OpenAlexW2522374183MaRDI QIDQ2803608

H. Behnke

Publication date: 2 May 2016

Published in: Scientific Computing, Computer Arithmetic, and Validated Numerics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31769-4_21

zbMATH Keywords

interval arithmeticpartial differential equationsparamenter-dependent eigenvalue problemupper and lower eigenvalue bounds

Mathematics Subject Classification ID

Plates (74K20)

Cites Work

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• Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
• Bounds for eigenvalues of parameter-dependent matrices
• PROFIL/BIAS - A fast interval library
• Variational bounds to eigenvalues of selfadjoint eigenvalue problems with arbitrary spectrum
• A numerically rigorous proof of curve veering in an eigenvalue problem for differential equations
• Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen

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