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A Wavelet Collocation Method for the Numerical Solution of Partial Differential Equations

โœ Scribed by S. Bertoluzza; G. Naldi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
355 KB
Volume
3
Category
Article
ISSN
1063-5203

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โœฆ Synopsis

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 with the treatment of boundary conditions, and we show the results of some numerical tests for several 1-and 2-dimensional model problems.

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