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Numerical solution of eigenvalue problems by means of a wavelet-based Lanczos decomposition

✍ Scribed by Patrick Fischer

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
456 KB
Volume
77
Category
Article
ISSN
0020-7608

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✦ Synopsis

The simple Lanczos process is very efficient for finding a few extreme eigenvalues of a large symmetric matrix. The main task in each iteration step consists in evaluating a matrix-vector product. It is shown how to apply a fast wavelet-based product in order to speed up computations. Some numerical results are given for three different monodimensional cases: the harmonic oscillator case, the hydrogenlike atoms, and a problem with a pseudo-double-well potential.

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This paper deals with the discretization of the one-dimensional Reynolds equation coupled with the film shape equation, that is used for the numerical solution of elastohydrodynamically lubricated contacts. The derivation of the developed discretization formula is based on the control volume approac