Pade Approximation and its Applications, Amsterdam 1980

Proceedings of a Conference Held in Amsterdam, The Netherlands, October 29-31, 1980
Herausgegeben:Bruin, M.G. de; Rossum, H. van

• Broschiertes Buch

Produktbeschreibung

The long history of continued fractions and Pad¿pproximants.- Efficient reliable rational interpolation.- Non-linear splines, some applications to singular problems.- On the conditioning of the Pad¿pproximation problem.- Pade-approximations in number theory.- Error analysis of incoming and outgoing schemes for the trigonometric moment problem.- Generalized rational correctors.- Sur une g¿ralisation 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 Pad¿pproximants 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 Pad¿pproximants.- 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 Pad¿able 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.

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Produktdetails

• Lecture Notes in Mathematics 888
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-11154-2
• 1981
• Seitenzahl: 396
• Erscheinungstermin: 1. Oktober 1981
• Englisch, Französisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 622g
• ISBN-13: 9783540111542
• ISBN-10: 3540111549
• Artikelnr.: 23577249

Inhaltsangabe

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 exponentialfunction approximations to laplace transform inversion.- On some conditions for convergence of branched continued fractions.- Rational interpolation to meromorphic functions.