Inclusion Methods for Nonlinear Problems
Subtitle: With Applications in Engineering, Economics and Physics
By: edited by Jürgen Herzberger
Series: Computing Supplementa, 0344-8029 -- 16; Computing Supplementa -- 16.
Publisher: Springer Vienna; Imprint; Springer
Published: 2003
Place of publication: Vienna
Language: eng
Format: [electronic resource] :
Number of pages: 244
ISBN-13: 9783709160336
Description: 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.
Table of contents: title: On Symmetric Solution Sets (G. Alefeld, V. Kreinovich, G. Mayer); title: Methods for Computing all Roots of a Polynomial Simultaneously; title: Known Results and Open Problems (L. Atanassova, N. Kyurkchiev, T. Yamamoto); title: Narrow Bounds for the Effective Rate of Return Concerning a Special Problem for Annuities (F. Detmers, J. Herzberger); title: Algorithmic Differentiation with Intervals (H. Fischer); title: Computation of a Family of Non-cosymmetrical Equilibria in a System of Nonlinear Parabolic Equations (K. Frischmuth, V.G. Tsybulin); title: Quadratic Convergence of Scaled Iterates by Kogbetliantz Method (V. Hari, J. Matejas); title: On a Method for Computing Inclusions of Solutions of the Basic GPS Equations (G. Heindl); title: Construction of Bounds for the Positive Root of a General Class of Polynomials with Applications (J. Herzberger, A. Langer); title: Rounding Near Zero (U. Kulisch); title: A Note on the Convergence of the SOR-like Weierstrass Method (N. Kyurkchiev); title: Boundary Regularity Aspects in Solving Contact Problems (D. Langemann); title: The Convex-decomposable Operator and Inclusive Algorithm (Y.-x. Ling, H.-l. Cao, H.-f. Sheng); title: Fast Inclusion and Residual Iteration for Solutions of Matrix Equations (T. Ogita, S. Oishi, Y. Ushiro); title: Schröder-like Methods for the Simultaneous Inclusion of Polynomial Zeros (L.D. Petkovic, M.S. Petkovic); title: Interval Root-finding Methods of Laguerre's Type (L.D. Petkovic, M.S. Petkovic, D. Zivkovic); title: Exact Behaviour of Singularities of Protter's Problem for the 3-D Wave Equation (N. Popivanov, T. Popov); title: Construction of Shortest Line of Restricted Curvature in a Non-singly-connected Polygonal Area (S.V. Smelyakov).