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Texts in Applied Mathematics

Introduction to Numerical Analysis

Authors: Stoer, Josef, Bulirsch, R.

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About this Textbook

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa­ tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4757-2272-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Numerical Analysis
Authors
Translated by
Gautschi, W., Witzgall, C., Bartels, R.
Series Title
Texts in Applied Mathematics
Series Volume
12
Copyright
1993
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-2272-7
DOI
10.1007/978-1-4757-2272-7
Series ISSN
0939-2475
Edition Number
2
Number of Pages
XIII, 660
Topics

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