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Applied Mathematical Sciences

Iterative Solution of Large Sparse Systems of Equations

Authors: Hackbusch, Wolfgang

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  • New edition provides emphasis on the algebraic structure of linear iteration, not usually included in most literature
  • Completely renewed references
  • Content grew out of a series of lectures given by author
  • Extensive and useful appendices included
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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-28483-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-28481-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-319-80360-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

About the authors

Wolfgang Hackbusch is a Professor in the Scientific Computing department at Max Planck Institute for Mathematics in the Sciences. His research areas include numerical treatment of partial differential equations, numerical treatment of integral equations, and hierarchical matrices.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-28483-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-28481-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-319-80360-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Iterative Solution of Large Sparse Systems of Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
95
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-28483-5
DOI
10.1007/978-3-319-28483-5
Hardcover ISBN
978-3-319-28481-1
Softcover ISBN
978-3-319-80360-9
Series ISSN
0066-5452
Edition Number
2
Number of Pages
XXIII, 509
Number of Illustrations
15 b/w illustrations, 11 illustrations in colour
Topics