contenu dans Titre de série : | Journal of Scientific Computing, Vol.3, No.2 | Titre : | Quadrature methods for periodic singular and weakly singular Freedholm integral equations | Type de document : | articles et extraits | Auteurs : | Avram Sidi, Auteur ; Moshe Israeli, Auteur | Année de publication : | 1988 | Importance : | p. 201-231 | Langues : | Anglais (eng) | Mots-clés : | Fredholm integral equations singular integral equations quadrature methods boundary integrals | Résumé : | High-accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations. They are subsequently used to obtain accurate quadrature methods for the solution of singular and weakly singular Fredholm integral equations. Throughout the development the periodic nature of the problem plays a crucial role. Such periodic equations are used in the solution of planar elliptic boundary value problems such as those that arise in elasticity, potential theory, conformal mapping, free surface flows, etc. The use of the quadrature methods is demonstrated with numerical examples. |
contenu dans Journal of Scientific Computing, Vol.3, No.2. Quadrature methods for periodic singular and weakly singular Freedholm integral equations [articles et extraits] / Avram Sidi, Auteur ; Moshe Israeli, Auteur . - 1988 . - p. 201-231. Langues : Anglais ( eng) Mots-clés : | Fredholm integral equations singular integral equations quadrature methods boundary integrals | Résumé : | High-accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations. They are subsequently used to obtain accurate quadrature methods for the solution of singular and weakly singular Fredholm integral equations. Throughout the development the periodic nature of the problem plays a crucial role. Such periodic equations are used in the solution of planar elliptic boundary value problems such as those that arise in elasticity, potential theory, conformal mapping, free surface flows, etc. The use of the quadrature methods is demonstrated with numerical examples. |
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