Inclusion Methods for Nonlinear Problems

With Applications in Engineering, Economics and Physics

J. Herzberger

258 pages, parution le 21/01/2003

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Résumé

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.

Contents

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

L'auteur - J. Herzberger

University of Oldenburg, Germany

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	J. Herzberger
Parution	21/01/2003
Nb. de pages	258
Format	16,5 x 24,2
Couverture	Broché
Poids	502g
Intérieur	Noir et Blanc
EAN13	9783211838525