Minimum number of modes in approximate solutions to equations of hydrodynamics
β Scribed by O.P. Manley; Y.M. Treve
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 263 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
Many practical problems encountered in digital signal processing and other quantitative oriented disciplines entail finding a best approximate solution to an overdetermined system of linear equations. Invariably, the least squares error approximate solution (i.e., minimum 2 norm) is chosen for this
## Abstract The convergence of the Galerkin approximations to solutions of abstract evolution equations of the form __u__β²(__t__)= β __Au__(__t__) + __M__(__u__(__t__)) is shown. Here __A__ is a closed, positive definite, selfβadjoint linear operator with domain __D__(__A__) dense in a Hilbert spac