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A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains by William D. Lakin

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1A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains

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Integrating and differentiating matrices allow the numerical integration and differential of functions whose values are known at points of a discrete grid. Previous derivations of these matrices were restricted to one dimensional grids or to rectangular grids with uniform spacing in at least one direction. Integrating and differentiating matrices were developed for grids with nonuniform spacing in both directions. The use of these matrices as operators to reformulate boundary value problems on rectangular domains as matrix problems for a finite dimensional solution vector is considered. The method requires nonuniform grids which include near boundary points. An eigenvalue problem for the transverse vibrations of a simply supported rectangular plate is solved to illustrate the method.

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  • Title: ➤  A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 6.31 Mbs, the file-s for this book were downloaded 184 times, the file-s went public at Wed Jul 21 2010.

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2NASA Technical Reports Server (NTRS) 19860013879: A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains

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Integrating and differentiating matrices allow the numerical integration and differential of functions whose values are known at points of a discrete grid. Previous derivations of these matrices were restricted to one dimensional grids or to rectangular grids with uniform spacing in at least one direction. Integrating and differentiating matrices were developed for grids with nonuniform spacing in both directions. The use of these matrices as operators to reformulate boundary value problems on rectangular domains as matrix problems for a finite dimensional solution vector is considered. The method requires nonuniform grids which include near boundary points. An eigenvalue problem for the transverse vibrations of a simply supported rectangular plate is solved to illustrate the method.

“NASA Technical Reports Server (NTRS) 19860013879: A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 19860013879: A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains
  • Author: ➤  
  • Language: English

“NASA Technical Reports Server (NTRS) 19860013879: A Combined Integrating And Differentiating Matrix Formulation For Boundary Value Problems On Rectangular Domains” Subjects and Themes:

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The book is available for download in "texts" format, the size of the file-s is: 19.76 Mbs, the file-s for this book were downloaded 57 times, the file-s went public at Sat Sep 17 2016.

Available formats:
Abbyy GZ - Animated GIF - Archive BitTorrent - DjVuTXT - Djvu XML - Item Tile - Metadata - Scandata - Single Page Processed JP2 ZIP - Text PDF -

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