Approximation and extrapolation of convergent and divergent sequences and series
CIRM Luminy - September 28, 2009 - October 2, 2009
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Timetable (updated September 22, 2009).
Book of Abstracts (updated September 21, 2009).
LIST OF THE TALKS
OPENING SESSION
Bernhard Beckermann
On the convergence of rational Ritz values, with applications to rational interpolation of rational functions
SLIDES
Dzevad Belkic
Froissart Doublets: Unequivocal Signal-Noise Separation by Padé-Based Quantifications of Time Signals Applied to Cancer Diagnostics through Magnetic Resonance Spectroscopy
SLIDES
Carl M. Bender
PT symmetry
SLIDES
Claude Brezinski
From numerical quadrature to Padé approximation
SLIDES
Adhemar Bultheel
The convergence of Fourier-Takenaka-Malmquist series
SLIDES
Oscar Catà
Padé approximants and the prediction of non-perturbative parameters in particle physics
SLIDES
Ruyman Cruz-Barroso
Positive rational interpolatory quadrature formulas on the unit circle and the interval
SLIDES
Annie Cuyt
Accelerating the convergence of continued fraction representations
SLIDES
André Draux
Block QD Algorithm
Jan Fischer
The ambiguities in the determination of field correlators represented by asymptotic perturbation series
Jacek Gilewicz
100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions
Pablo González-Vera
Computation of Rational Szegö-Lobatto Quadrature Formulas
SLIDES
David Greynat
Asymptotic expansions and Mellin-Barnes representation
SLIDES
Xing-Biao Hu
Some results on integrable algorithms
SLIDES
Ulrich Jentschura
Bender-Wu Formulas and Generalized Nonanalytic Expansions for Odd Anharmonic Oscillators
SLIDES
Kerstin Jordaan
Convergence of ray sequences of Padé approximants for 2F1(a,1;c;z), c>a>0
SLIDES
Hagen Kleinert
Converting divergent weak-coupling expansions into exponentially fast convergent strong-coupling expansions
SLIDES
George Labahn
Exact computation of Simultaneous Rational Approximants
SLIDES
Dirk P. Laurie
Acceleration of convergence of series via orthogonal polynomials
SLIDES
Guillermo López Lagomasino
On the perfectness of Nikishin systems
SLIDES
Lisa Lorentzen
Convergence of sequences of linear fractional transformations
SLIDES
Ana Matos
Smoothing the Gibbs phenomenon using Pad\'e-Hermite approximants
SLIDES
Rafal Nowak
Method of summation of some slowly convergent series
SLIDES
Walter Pauls
Studying the asymptotic structure of solutions of hydrodynamical equations
SLIDES
Santiago Peris
Large-Nc Quantum Chromodynamics and Rational Approximants
SLIDES
Ignacio Porras
Implementations of the Levin-Weniger convergence accelerator and applications to problems in physics
SLIDES
Michela Redivo-Zaglia
An extended procedure for extrapolation to the limit
SLIDES
Françoise Richard-Jung
Convergent and divergent series, solutions of the Prolate Spheroidal differential equation
SLIDES
Tanguy Rivoal
Rational approximations to values of the Gamma function at rational points
SLIDES
Hassan Safouhi
Generalized techniques in Numerical Integration
SLIDES
Juan Jose Sanz-Cillero
Padé Theory and phenomenology of resonance poles
SLIDES
Avraham Sidi
Survey of Numerical Stability Issues in Convergence Acceleration
SLIDES
Harris J. Silverstone
On the JWKB expansion and Borel summability, with particular attention to modifications of the radial Schrödinger equation
SLIDES
Igor M. Suslov
Strong Coupling Asymptotics of the \beta-Function in \phi^4 Theory and QED
SLIDES
Ian Thompson
Analysis of divergent series by Euler--Maclaurin summation
SLIDES
Joris Van Deun
Unusual convergence behaviour of certain rational interpolants
SLIDES
Ernst Joachim Weniger
Inverse Factorial Series: A Little Known Tool for the Summation of Divergent Series
SLIDES
Pawel Wozny
Efficient algorithm for summation of some slowly convergent series
SLIDES
Jaroslav Zamastil
Divergent series in quantum mechanics
SLIDES
Jean Zinn-Justin
Order-dependent mapping: Summation of divergent series
SLIDES
LIST OF THE POSTERS
Riccardo Borghi
Asymptotic expansions of Euler series truncation errors via Bell polynomials
Concepción González-Concepción
Numerical advances from rational approximation in modelling economic time series data
Fahima Hebhoub
Padé approximant in complex points revisited
Elie Leopold
Asymptotic Behaviours and General Recurrence Relations
Dong Won Lee
Recurrence relations for multiple orthogonal polynomials of classical weights by a generating function
Ana Filipa Loureiro
Quantum Appell polynomials and their quadratic decomposition
Maria Rosaria Russo
Extrapolation Methods: a tool for accelerating real life problems