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A comparison of some methods for the evaluation of highly oscillatory integrals

Author
EVANS, G. A1 ; WEBSTER, J. R2
[1] Department of Mathematical Science, De Montfort University, Leicester LE1 9BH, United Kingdom
[2] Department of Mathematical Sciences. Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom
Issue title
Numerical evaluation of integrals
Author (monograph)
LAURIE, Dirk (Editor)1 ; COOLS, Ronald (Editor)2
[1] Potchefstroom University for Christian Higher Education, P.O. Box 1174, Vanderbijlpark, South Africa
[2] Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 Heverlee, Belgium
Source

Journal of computational and applied mathematics. 1999, Vol 112, Num 1-2, pp 55-69 ; ref : 32 ref

CODEN
JCAMDI
ISSN
0377-0427
Scientific domain
Computer science; Mathematics
Publisher
Elsevier, Amsterdam
Publication country
Netherlands
Document type
Article
Language
English
Keyword (fr)
Algorithme Equation différentielle Etude comparative Fonction Bessel Fonction hypergéométrique Implémentation Interpolation polynomiale Intégration numérique Oscillation Polynôme Legendre Polynôme Tchebychev Singularité Transformation Fourier Formule Gauss Legendre Intégrale oscillatoire Méthode Clenshaw Curtis Symbole Pochhamer
Keyword (en)
Algorithm Differential equation Comparative study Bessel function Hypergeometric function Implementation Polynomial interpolation Numerical integration Oscillation Legendre polynomial Tchebychev polynomial Singularity Fourier transformation Gauss Legendre rule Oscillatory integrals Clenshaw Curtis method Pochhamer symbol
Keyword (es)
Algoritmo Ecuación diferencial Estudio comparativo Función Bessel Función hipergeométrica Ejecución Interpolación polinomial Integración numérica Oscilación Polinomio Legendre Polinomio Tchebychev Singularidad Transformación Fourier
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01D Numerical approximation

Discipline
Mathematics
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
1215845

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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