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Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear Pde's by Wei Cai

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1NASA Technical Reports Server (NTRS) 19940011360: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's

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We have designed a cubic spline wavelet decomposition for the Sobolev space H(sup 2)(sub 0)(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.

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  • Title: ➤  NASA Technical Reports Server (NTRS) 19940011360: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 33.22 Mbs, the file-s for this book were downloaded 50 times, the file-s went public at Tue Oct 04 2016.

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2DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's

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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: ➤  
  • Language: English

“DTIC ADA272244: Adaptive Wavelet Collocation Methods For Initial Value Boundary Problems Of Nonlinear PDE's” Subjects and Themes:

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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 52 times, the file-s went public at Tue Mar 13 2018.

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