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Dtic Ada272244%3a Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear Pde's by Defense Technical Information Center
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1DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's
By Defense Technical Information Center
We have designed a cubic spline wavelet decomposition for the Sobolev space HO(2)(I) where I is a bounded interval. Based on a special 'point-wise orthogonality' of the wavelet basis functions, a fast Discrete Wavelet Transform (DWT) is constructed. This DWT transform will map discrete samples of a function to its wavelet expansion coefficients in O(N log N) operations. Using this transform, we propose a collocation method for the initial value boundary problem of nonlinear PDE's. Then, we test the efficiency of the DWT transform and apply the collocation method to solve linear and nonlinear PDE's. Wavelet
“DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's” Metadata:
- Title: ➤ DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Cai, Wei - INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA - *PARTIAL DIFFERENTIAL EQUATIONS - *CUBIC SPLINE TECHNIQUE - TEST AND EVALUATION - FOURIER TRANSFORMATION - FREQUENCY - FUNCTIONS - DECOMPOSITION - SPLINES - INTERVALS - EXPANSION - EIGENVALUES - BOUNDARIES - COEFFICIENTS
Edition Identifiers:
- Internet Archive ID: DTIC_ADA272244
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The book is available for download in "texts" format, the size of the file-s is: 21.12 Mbs, the file-s for this book were downloaded 53 times, the file-s went public at Tue Mar 13 2018.
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