Overview

The book covers recent developments in the construction and the analysis of numerical algorithms for the solution of nonlinear problems with emphasis on the automatic calculation of guaranteed errorbounds by machine interval operations. The bulk of the presented algorithms deal with problems from various fields in the applied sciences.

Full Product Details

Author:   Jürgen Herzberger
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   16
Dimensions:   Width: 17.80cm , Height: 1.40cm , Length: 25.40cm
Weight:   1.030kg
ISBN:  

9783211838525

ISBN 10:   321183852
Pages:   244
Publication Date:   10 December 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On Symmetric Solution Sets.- Methods for Computing all Roots of a Polynomial Simultaneously - Known Results and Open Problems.- Narrow Bounds for the Effective Rate of Return Concerning a Special Problem for Annuities.- Algorithmic Differentiation with Intervals.- Computation of a Family of Noncosymmetrical Equilibria in a System of Nonlinear Parabolic Equations..- Quadratic Convergence of Scaled Iterates by Kogbetliantz Method.- On a Method for Computing Inclusions of Solutions of the Basic GPS Equations.- Construction of Bounds for the Positive Root of a General Class of Polynomials with Applications.- Rounding Near Zero.- A Note on the Convergence of the SOR-like Weierstrass Method.- Boundary Regularity Aspects in Solving Contact Problems.- The Convex-decomposable Operator and Inclusive Algorithm.- Fast Inclusion and Residual Iteration for Solutions of Matrix Equations.- Schroder-like Methods for the Simultaneous Inclusion of Polynomial Zeros.- Interval Root-finding Methods of Laguerre’s Type.- Exact Behaviour of Singularities of Protter’s Problem for the 3-D Wave Equation.- Construction of Shortest Line of Restricted Curvature in a Non-singly-connected Polygonal Area.

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