The ADI Model Problem

Authors: Wachspress, Eugene

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  • ISBN 978-1-4614-5122-8
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  • ISBN 978-1-4614-5121-1
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About this book

The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems. This book provides application of theory to the solution of boundary value problems and description of stable similarity reduction of a full matrix to low-band upper Hessenberg form, with application to computation of eigenvalues and solution of Lyapunov and Sylvester equations. Also included are MATLAB programs and numerical verification of theory and applications.

Table of contents (6 chapters)

  • The Peaceman–Rachford Model Problem

    Wachspress, Eugene

    Pages 1-23

  • The Two-Variable ADI Problem

    Wachspress, Eugene

    Pages 25-45

  • Model Problems and Preconditioning

    Wachspress, Eugene

    Pages 47-73

  • Complex Spectra

    Wachspress, Eugene

    Pages 75-102

  • Lyapunov and Sylvester Matrix Equations

    Wachspress, Eugene

    Pages 103-114

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5122-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-5121-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-0019-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The ADI Model Problem
Authors
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5122-8
DOI
10.1007/978-1-4614-5122-8
Hardcover ISBN
978-1-4614-5121-1
Softcover ISBN
978-1-4939-0019-0
Edition Number
1
Number of Pages
X, 167
Topics