Inclusion Methods for Nonlinear Problems

With Applications in Engineering, Economics and Physics

AvJürgen Herzberger

Häftad, Engelska, 2002

Del 16 i serien Computing Supplementa

1 067 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-12-10
Mått:178 x 254 x 15 mm
Vikt:462 g
Format:Häftad
Språk:Engelska
Serie:Computing Supplementa
Antal sidor:244
Förlag:Springer Verlag GmbH
ISBN:9783211838525

Utforska kategorier

Innehållsförteckning

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.