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A reliable algorithm for computing the topological degree of a mapping in R2

Author
KO, K. H1 ; SAKKALIS, T2 ; PATRIKALAKIS, N. M3
[1] Department of Mechatronics, Gwangju Institute of Science and Technology, 1 Oryong-dong, Buk-gu, Gwangju 500-712, Korea, Republic of
[2] Mathematics Laboratory, Agriculture University of Athens, Athens 118 55, Greece
[3] Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, United States
Source

Applied mathematics and computation. 2008, Vol 196, Num 2, pp 666-678, 13 p ; ref : 23 ref

CODEN
AMHCBQ
ISSN
0096-3003
Scientific domain
Control theory, operational research; Computer science; Mathematics
Publisher
Elsevier, New York, NY
Publication country
United States
Document type
Article
Language
English
Author keyword
Affine arithmetic Gauss map Interval arithmetic Principle of argument Topological degree Univariate polynomials
Keyword (fr)
Algorithme Analyse numérique Arithmétique intervalle Calcul erreur Degré topologique Mathématiques appliquées Polygone Polynôme 51E12 55M25 65G30
Keyword (en)
Algorithm Numerical analysis Interval arithmetic Error analysis Topological degree Applied mathematics Polygon Polynomial
Keyword (es)
Algoritmo Análisis numérico Aritmética intervalo Cálculo error Grado topológico Matemáticas aplicadas Polígono Polinomio
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis

Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02F Geometry / 001A02F01 Geometry

Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02G Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds / 001A02G02 Algebraic topology

Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01F Error analysis

Discipline
Mathematics
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
20086445

Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS

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