Abstract
Investigation of the problem of heat transfer to fluids flowing between parallel plates leads to a quadratic eigenvalue problem. The problem can be put into the form A(λ)=λ2 I+λM−L=0 with M a multiplication operator and L a differential operator with compact inverse. Spectral properties of this operator are considered. An iterative scheme is given for computation of the eigenvalues of A(λ) and numerical results are given.
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© 1975 Springer Basel AG
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Terray, J., Lancaster, P. (1975). A Boundary Value Problem from the Study of Heat Transfer. In: Numerische Behandlung von Differentialgleichungen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 27. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5532-7_19
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DOI: https://doi.org/10.1007/978-3-0348-5532-7_19
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5533-4
Online ISBN: 978-3-0348-5532-7
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