Introduction to Numerical Analysis
  • Author : J. Stoer
  • Release Date : 09 March 2013
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 660
  • ISBN 13 : 9781475722727

Introduction to Numerical Analysis Book Summary

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.

Introduction to Numerical Analysis

Introduction to Numerical Analysis

Author : J. Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Genre : Mathematics
Total View : 5974 Views
File Size : 55,7 Mb
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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 ...

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Total View : 9166 Views
File Size : 40,6 Mb
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Publisher : Springer Science & Business Media
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Total View : 2006 Views
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Total View : 9766 Views
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