Inclusion Methods for Nonlinear Problems: With Applications in Engineering, Economics and Physics by Jürgen HerzbergerInclusion Methods for Nonlinear Problems: With Applications in Engineering, Economics and Physics by Jürgen Herzberger

Inclusion Methods for Nonlinear Problems: With Applications in Engineering, Economics and Physics

EditorJürgen Herzberger

Paperback | December 10, 2002

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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.
Title:Inclusion Methods for Nonlinear Problems: With Applications in Engineering, Economics and PhysicsFormat:PaperbackDimensions:256 pagesPublished:December 10, 2002Publisher:Springer ViennaLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:321183852X

ISBN - 13:9783211838525

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Table of Contents

On Symmetric Solution Sets (G. Alefeld, V. Kreinovich, G. Mayer).- Methods for Computing all Roots of a Polynomial Simultaneously - Known Results and Open Problems (L. Atanassova, N. Kyurkchiev, T. Yamamoto).- Narrow Bounds for the Effective Rate of Return Concerning a Special Problem for Annuities (F. Detmers, J. Herzberger).- Algorithmic Differentiation with Intervals (H. Fischer).- Computation of a Family of Non-cosymmetrical Equilibria in a System of Nonlinear Parabolic Equations (K. Frischmuth, V. G. Tsybulin).- Quadratic Convergence of Scaled Iterates by Kogbetliantz Method (V. Hari, J. Matejas).- On a Method for Computing Inclusions of Solutions of the Basic GPS Equations (G. Heindl).- Construction of Bounds for the Positive Root of a General Class of Polynomials with Applications (J. Herzberger, A. Langer).- Rounding Near Zero (U. Kulisch).- A Note on the Convergence of the SOR-like Weierstrass Method (N. Kyurkchiev).- Boundary Regularity Aspects in Solving Contact Problems (D. Langemann).- The Convex-decomposable Operator and Inclusive Algorithm (Y.-x. Ling, H.-l. Cao, H.-f. Sheng).- Fast Inclusion and Residual Iteration for Solutions of Matrix Equations (T. Ogita, S. Oishi, Y. Ushiro).- Schröder-like Methods for the Simultaneous Inclusion of Polynomial Zeros (L. D. Petkovic, M. S. Petkovic).- Interval Root-finding Methods of Laguerre's Type (L. D. Petkovic, M. S. Petkovic, D. Zivkovic).- Exact Behaviour of Singularities of Protter's Problem for the 3-D Wave Equation (N. Popivanov, T. Popov).- Construction of Shortest Line of Restricted Curvature in a Non-singly-connected Polygonal Area (S.V. Smelyakov)