Umfang:
Online-Ressource (VIII, 388 p, online resource)
ISBN:
9783540386063
,
9783540111542
Serie:
Lecture Notes in Mathematics 888
Inhalt:
The long history of continued fractions and Padé approximants -- Efficient reliable rational interpolation -- Non-linear splines, some applications to singular problems -- On the conditioning of the Padé approximation problem -- Pade-approximations in number theory -- Error analysis of incoming and outgoing schemes for the trigonometric moment problem -- Generalized rational correctors -- Sur une généralisation de l'interpolation rationnelle -- Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant -- Choix automatique entre suites de parametres dans l'extrapolation de richardson -- Quelques resultats sur la structure des tables de pade-hermite -- Approximants of exponential type general orthogonal polynomials -- Multipoint Padé approximants converging to functions of Stieltjes' type -- Pade approximant inequalities for the functions of the class S -- Acceleration of convergence of power iterative process -- Generalized order star theory -- Singularities of functions determined by the poles of Padé approximants -- Pade approximants and related methods for computing boundary values on cuts -- Acceleration de la convergence pour certaines suites a convergence logarithmique -- Difficulties of convergence acceleration -- On the even extension of an M fraction -- Rate of convergence of sequences of pade-type approximants and pole detection in the complex plane -- Recurrence coefficients in case of Anderson localisation -- Atomic radiative transitions in strong fields via pade approximants -- On two general algorithms for extrapolation with applications to numerical differentiation and integration -- Formally biorthogonal polynomials -- The Padé table and its connection with some weak exponential function approximations to laplace transform inversion -- On some conditions for convergence of branched continued fractions -- Rational interpolation to meromorphic functions.
Weitere Ausg.:
ISBN 9783540111542
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Padé approximation and its applications Berlin, Heidelberg [usw.] : Springer, 1981 ISBN 3540111549
Weitere Ausg.:
ISBN 0387111549
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Padé-Näherung
;
Konferenzschrift
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
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