INTERNATIONAL WORKSHOP 1998
INTERNATIONAL
WORKSHOP ON
ORTHOGONAL
POLYNOMIALS
"Numerical and Symbolic algorithms" 1998
(Review)
Universidad Carlos III de Madrid
Leganés, June 29, 30, July 1,2 1998
INTERNATIONAL WORKSHOP ON ORTHOGONAL POLYNOMIALS:
"Numerical and Symbolic algorithms"
General Information
Dear Colleagues,
It is well known the increasing attention paid in the
last years to the theory of Orthogonal Polynomials.
In particular since their applications in a lot of different areas
like numerical integration, spectral methods, interpolation,
approximation theory, etc. Also
in combinatorics, mathematical physics, quantum physics, etc. For this reason
the Universidad Carlos III de Madrid organizes every two years
an international workshop devoted to this topic. The first edition in 1992 was
dedicated to Sobolev orthogonal polynomials, in 1994 to
polynomials orthogonal in the unit circle, and the last one
IWOP'96 ,
held in 1996, to the applications of orthogonal polynomials in mathematical physics.
The main aim of the 1998's edition of the
Workshop was that a reduced number of invited mathematicians discuss and review
recent progress of the Theory of Orthogonal Polynomials with
special emphasis in the numerical applications and simbolic algorithms.
The Workshop took place
in the main building of the Escuela Politécnica Superior,
(room 2F01, located in the second floor of the building)
Universidad Carlos III de Madrid, Leganés (Madrid).
The topics considered were:
- Combinatorics
- Numerical Linear Algebra
- Quadrature formulas
- Spectral methods in boundary value problems
- Symbolic algorithms and software
There were 12 plenary lectures and 28 short communications. The titles
can be found below.
How to get Escuela Politécnica Superior
The best way to get the Escuela Politécnica Superior is by using the
trains Cercanias which can be reach from Atocha Railway Station
Cercanias Line C5 (direction Fuenlabrada) and leave the train in the
Station Leganés (not in Zarzaquemada!) which is at 5 min. waking fron the
University. Please see a scheme of getting to the
University Campus
, or if you prefer, see a more detailed map
For more details
click here
IWOP98: Main menu
Invited speakers
- Walter Gautschi (Purdue University, USA)
- Gene Golub (Stanford University, USA)
- Wolfram Koepf (Hochschule für Technik, Wirtschaft und Kultur Leipzig,
Germany)
- Yvon Maday (Université Pierre et Marie Curie, France)
- Marko Petkovsek (University of Ljubljana, Slovenia)
- Doron Zeilberger (Temple University, USA)
The Organizing Committee
The Organizing Committee was:
- M. Alfaro (Univ. de Zaragoza),
- R. Álvarez-Nodarse (Secretary) (Univ. Carlos III, Univ de Sevilla),
- J. Arvesú (Univ. Carlos III),
- F. Marcellán (Chairman) (Univ. Carlos III)
The Scientific Committee
The Scientific Committee was:
- R. Álvarez-Nodarse (Univ. Carlos III, Univ de Sevilla),
- J. S. Dehesa (Univ. de Granada),
- E. Godoy (Univ. Vigo),
- G.López Lagomasino (Univ. Carlos III),
- F. Marcellán (Univ. Carlos III)
- R. Yáñez (Univ. de Granada) and
- A. Zarzo (Univ. Politénica de Madrid)
The Proceedings
The Proceedings of the Workshop have been appeared
as a special issue of Electronic Transactions on Numerical
Analysis (ETNA) (see the URL site
http://etna.mcs.kent.edu/)
Program
The Calendar (preliminar)
On Monday, June 29, at 9:00 was be the registration and the Openning session.
(*) On Wednesday, July 1, at 13:30 took place a symbolic-software presentation by
Addlink Software Científico.
Time | Monday | Tuesday | Wednesday
| Thursday
|
---|
9:30 | Koepf | Koepf | Golub | Golub |
|
---|
10:30 | Gautschi | Gautschi | Zeilberger | Zeilberger |
|
---|
11:30 | Break | Break | Break | Break
|
---|
12:00 | Calvetti | Yáñez | Alvarez | Lagomasino |
|
---|
12:30 | Perea | Yakhlef | García | Pasquini (*) |
|
---|
13:00 | Salam | P. López | Fernández | Lorente |
|
---|
13:30 | Lunch | Lunch | Lunch(**) | Lunch
|
---|
16:00 | Petkovsek | Petkovsek | Maday | Maday |
|
---|
17:00 | Reichel | Mastroianni | González-Vera | Ruano |
|
---|
17:30 | Break | Break | Break | Break
|
---|
17.45 | Milovanovic | Medem | Bello | Gil |
|
---|
18:15 | Fuchs | Ricci | Kravanja | Segura |
|
---|
18:45 | Cala | Costa | Lewanowicz | Bogatirev |
|
---|
Invited talks (50 min.)
Titles
- Walter Gautschi, Orthogonal Polynomials and Quadrature
and Rational Gauss-type Quadrature Rules
- Gene Golub, Bounds for the Entries of Matrix Functions
with Applications to Preconditioning and
Inverting Shape From Moments
- Wolfram Koepf, Software for the Algorithmic Work with
Orthogonal Polynomials and Special Functions
- Yvon Maday, The Basic spectral element and mortar element methods
for elliptic problems and The spectral element methods for resolution
of the Stokes and Navier-Stokes problems
- Marko Petkovsek, Linear Operators and Compatible Polynomial Bases
- Doron Zeilberger, The Unreasonable Power of Orthogonal Polynomials
in Combinatorics I and II
Short Communications (25 min.)
Titles
- María Alvarez de Morales
Non-standard orthogonality for Meixner polynomials
- Manuel Bello Zero distribution of orthogonal polynomials
with respect to varying measures on the unit circle
- Andrei B. Bogatyrev On construction of polynomials least
deviating from zero on a system of segments
- Francisco Cala Rodríguez Quadrature Formulas
for Rational Functions
- Daniela Calvetti Estimation of the L-curve via Lanczos bidiagonalization
- Cecilia Costa Quaternion Block Tridiagonal System
- María Victoria Fernández-Muñoz Bernstein--Sobolev operators
- Erich Fuchs Algorithms to compute polynomials orthogonal
with respect to non-standard discrete inner products
- Esther García Caballero Sobolev orthogonal polynomials:
Interpolation and Approximation
- Amparo Gil A Numerical Algorithm for Parabolic Cylinder Functions
- Pablo González-Vera Product Integration Rules on the
Unit Circle
- Peter Kravanja On locating clusters of zeros of analytic
functions
- Stanislaw Lewanowicz Recurrence relations for the coefficients
of the Fourier series expansions with respect to the
classical orthogonal polynomials
- Guillermo López Lagomasino Approximation of Transfer Functions
of Infinite-Dimensional Dynamical Systems by Rational Functions with
Prescribed Poles
- Pedro López Riesz's theorem and the Nevanlinna
parametrization for Orthogonal Matrix Polynomials
- Miguel Lorente Creation and annihilation operators for orthogonal
polynomials of discrete and continuous variables
- Giuseppe Mastroianni Numerical evaluation of integral
transforms on the real line with singular or weakly singular kernels
- Juan C. Medem On semiclasical polynomials: A singular distributional equation
- Gradimir Milovanovic Generalized Quadratures and Muntz Polynomials
- Lionello Pasquini ``Priori" Estimates of Eigenvalues
Conditioning by Spectral Portraits
- Carmen Perea Some results on nonnegative splittings of second type
- Lothar Reichel Computation of Gauss-Kronrod quadrature rules
- Paolo E. Ricci An iterative method for computing the
eigenvalues of second kind Fredholm operators and applications
- Jorge Ruano Algebraic properties of hypergeometric-type functions.
A computer algebra approach
- Ahmed Salam A new generalization of Lanczos type methods related to
the vector orthogonal polynomials
- Javier Segura Evaluation of Associated Legendre Functions Off the Cut
- Hossain O. Yakhlef On Orthogonal Matrix Polynomials
- Rafael J. Yáñez Connection coefficients for discrete hypergeometric
type polynomials on uniform and non-uniform lattices
Abstracts
Click here to see the abstracts of the
invited lectures. The abstracts of the short communications will be included
in the Book of Abstracts.
The abstracts are also available in postscript
format
Participants
Click here to see the participants.
To get more information please contact with:
R. Álvarez-Nodarse (*)
and F. Marcellán (**)
Maintained by Renato
Álvarez-Nodarse: E-Mail: ran@us.es