We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autocorrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based preconditioning techniques along
โฆ LIBER โฆ
A wavelet multiscale iterative regularization method for the parameter estimation problems of partial differential equations
โ Scribed by Fu, Hongsun; Han, Bo; Liu, Hongbo
- Book ID
- 121801782
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 433 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0925-2312
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## Abstract A new objective function for estimating parameters in differential equations, based upon a weighted least squares criterion for the residuals of these equations, is presented. The use of Lobatto quadrature in combination with the collocation technique reduces the original problem to one
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