Approximation and extrapolation of convergent and divergent sequences and series CIRM Luminy - September 28, 2009 - October 2, 2009

HOME    DEADLINES    COMMITTEES    PROGRAM    REGISTRATION    PARTICIPANTS    PROCEEDINGS    ACCOMODATION    TRAVEL    TOURISM

PROGRAM   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