NA Digest Saturday, June 7, 1997 Volume 97 : Issue 23

Today's Editor:
Cleve Moler
The MathWorks, Inc.

Submissions for NA Digest:

Mail to

Information about NA-NET:

Mail to

URL for the World Wide Web: -------------------------------------------------------

From: Gene Golub <golub@sccm.Stanford.EDU>
Date: Mon, 2 Jun 97 15:35:10 PDT
Subject: Stanford Reunion at SIAM Meeting

Dear friends,

In connection with the 45th SIAM Anniversary meeting, there will be a
reunion of former students, colleagues and friends of Stanford. If you
have been a visitor here, I'm sure there will be many friends who will
be happy to see you here. I'll announce the time and place at a later
date. If you would like to attend, please send me a note at your
earliest convenience.


Gene Golub, Fletcher Jones Professor of Computer Science

NEW ADDRESS (Please use complete address.)
Stanford University
Computer Science Dept
GATES 2B MC 9025
Stanford, CA 94305-9025

Office Phone: 415/723-3124 Home Phone: 415/323-0105
Office FAX : 415/723-2411 Home FAX : 415/323-0105


From: Cleve Moler <>
Date: Sat Jun 7 14:42:16 EDT 1997
Subject: Forsythe SIAM Session and Forsythe Tree


I'm organizing a session remembering George Forsythe at next
month's SIAM meeting. I'm thinking of making it an "Open Mike"
kind of session. So, if you are a student or friend of Forsythe,
are going to the meeting, and would like to participate, please
let me know via e-mail to

In connection with this session, I would like to update the
Forsythe Tree. That's the graph with Forsythe at the root
and "is a Ph.D. student of" links. If you should be on the
Tree, or can contribute anything to its reconstruction, please
let me know. In particular, I would like to hear from each
of the 17 level one nodes about their particular branches.


-- Cleve


From: Nicolas Robidoux <>
Date: Tue, 3 Jun 1997 12:23:46 -0600 (MDT)
Subject: Looking for Parallel 3D Poisson Solver

Anybody knows of a fast >>3D<< parallel Poisson equation solver on
tensor (hexahedral) grids uniform in each direction, preferably
compatible with combinations of Dirichlet, Neumann and periodic
boundary conditions, at most one per direction? The target
architecture is IBM SP (MIMD), but anything "portable" would be great
(in MPI or PVM, say). Commercial software is not ruled out.

With thanks,

Nicolas Robidoux
Albuquerque Resource Center of the High Performance Computing
Education and Research Center
University of New Mexico
(will be at Massey University come August)


From: Tim Davis <>
Date: Mon, 02 Jun 1997 16:47:13 -0400
Subject: LP Problems Now in Florida Sparse Matrix Collection

I maintain a large collection of sparse matrices at:


These are available via ftp and the www (with graphical pictures
of each matrix). There are currently 657 matrices (1GB compressed)
in the collection. Some of these matrices also appear in the Matrix Market
Version 3.0 ( This is simply my own
personal collection, made public. The Matrix Market has nicer graphics and
more features than my collection (such as matrix generators).

I've recently added all of the linear programming problems from
Netlib (with permission from David Gay, who maintains that collection).
All have been converted into a single standard form:

minimize c'*x, subject to Ax=b and l<=x<=u.

A program written by M.G.C. Resende and G. Veiga converts the MPS
format to a "KAR" format, and a program of mine converts KAR to
Harwell/Boeing and Matlab. These programs are available at my site, as well.
Each Matlab script contains a short description of the LP problem (relevant
excerpts from the lp/data/readme in Netlib, and such), a definition of the
problem (the matrix A, and the vectors b, c, l, u and scalar z0), and code
which optionally solves the problem.

Tim Davis
Dept. of Computer and Information Science and Engineering
Univ. of Florida


From: Randy LeVeque <>
Date: Fri, 6 Jun 1997 15:48:46 -0700 (PDT)
Subject: New Versions of CLAWPACK and AMRCLAW Available

Version 3.0 of the CLAWPACK software for solving hyperbolic conservation
laws is now available in netlib. This version includes three-dimensional
routines developed by Jan Olav Langseth, and some new options such as
dimensional splitting. For more information please visit

Version 0.3 (beta test) of AMRCLAW is also available, which combines
the CLAWPACK algorithms with the adaptive mesh refinement code of
Marsha Berger. The new version installed 5/28/97 fixes many bugs
from the previous Version 0.2, and includes some new examples.

AMRCLAW is available by anonymous ftp from in pub/rjl/programs/amrclaw.tar.Z
or from the webpage


From: Andreas Loebel <>
Date: Thu, 5 Jun 1997 15:02:40 +0200
Subject: MCF, A Network Simplex Implementation, and Soplex

Dear colleagues,

I am pleased to announce MCF, an implementation in C of the network simplex
algorithm. This program package provides the primal and the dual approach, which
can be used in a stand-alone program expecting input files to be in DIMACS
format or as subroutines within your own programs.

MCF has been compiled with several compilers, e.g., gcc (version 2.7.2) and
SUN-CC (version 4.0), for SunOS and Solaris on SUN workstations, for HP-UX on HP
workstations, and for Linux. Moreover, it has been installed on IBM, Sony, and
CRAY computers. MCF has been made quite robust using PURE ATRIA's Purify, a
run-time error detector for a range of memory-related software errors, for more
information see

Besides solving many academic minimum-cost flow test instances, the code has up
to now been used to solve real-world problems from vehicle scheduling in public
mass transit and frequency assignment in telecommunication. Combined with a
delayed column generation, it is possible to solve truly large-scale problems
with up to 50 thousand nodes and 70 million arcs in a few minutes to optimality.
For more information on these projects, see our web server at

The subroutines of the MCF library are currently employed for vehicle scheduling
at the Berliner Verkehrsbetriebe, which is the worlds fourth largest public
transportation company providing public transportation in Berlin, and is used
for frequency assignment at E-plus Mobilfunk GmbH, which is a German mobile
phone service provider.

MCF is available for academic use free of charge via WWW at URL

It is also possible to separately retrieve a postscript version of its
documentation, which describes MCF's data structure and interface.

I welcome and appreciate any feedback of MCF users! Please mail it to

We also would like to inform you that we took over responsibility of the
SoPlex distribution. We made a revision that is now available at

Please note that this is a new URL different from the one announced by the
SoPlex author Roland Wunderling!

The source code of SoPlex itself is unchanged, but several compilation and
installation problems have been eliminated. If not already done since May, 21,
we strongly recommend to retrieve the updated version.

The new distribution has been successfully installed for Solaris and Linux
operating systems using gcc, version 2.7.2, and SUN-CC, versions 4.0 and 4.1.

Best regards,

Andreas Loebel

Konrad-Zuse-Zentrum fuer Informationstechnik Berlin (ZIB)
Takustrasse 7, D-14195 Berlin, Germany
Phone: +49 30 / 84185-239
Secretary: -208
Fax: -269


From: Barry Koren <>
Date: Wed, 4 Jun 1997 14:35:14 +0200
Subject: New Book on Euler and Navier-Stokes Solvers

New book:
Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and
Multigrid Acceleration,
Notes on Numerical Fluid Mechanics, Vol. 57,
European Community Research in Aeronautics
(H. Deconinck and B. Koren, eds.),
Vieweg Verlag, Braunschweig (1997),
ISSN 0179-9614, ISBN: 3-528-06957-0.

Pages: 569. Price: DM 248,--

The book contains results of two joined research projects, carried out in
the framework of the BRITE/EURAM Aeronautics R&D Programme of the European
Industrial endorsers of the project were: Alenia, Aerospatiale,
British Aerospace, Dassault, Dornier Deutsche Aerospace and Fokker Aircraft.
Research partners in the project were: the Von Karman Institute for Fluid
Dynamics, the Free University of Brussels, the University of Bari, the Dutch
Centre for Mathematics and Computer Science, the Technical University of
Denmark and the Swedish Royal Institute of Technology. The first three
research partners mainly worked on multi-dimensional upwind techniques for
discretizing the compressible Euler and Navier-Stokes equations, the latter
three on (solution-adaptive) multigrid techniques for solving discrete systems
of above equations.
The book describes a nice set of modern CFD techniques.

1. Compact cell vertex convection schemes on unstructured meshes: ------------
--------------------------------------------- H. Paillere and H. Deconinck.
2. Multidimensional upwind residual distribution schemes for
the 2D Euler equations: --------------------- H. Paillere and H. Deconinck.
3. Matrix distribution schemes for the system of Euler equations: ------------
---------------------------------------- E. van der Weide and H. Deconinck.
4. Multidimensional upwind schemes for the 3D Euler equations on
unstructured tetrahedral meshes ---------- A. Bonfiglioli and H. Deconinck.
5. A very efficient local-adaptive multigrid method based on
a simple-wave decomposition of the Euler equations: -----------------------
---------------- L.A. Catalano, P. De Palma, M. Napolitano and G. Pascazio.
6. Genuinely multidimensional upwind methods for accurate and
efficient solutions of compressible flows: --------------------------------
---------------- L.A. Catalano, P. De Palma, M. Napolitano and G. Pascazio.
7. A general analysis of 2D/3D multidimensional upwind convection schemes: ---
------------------------------------------ P. Van Ransbeeck and Ch. Hirsch.
8. Multidimensional upwind schemes for the Euler/Navier-Stokes equations on
structured grids: ------------------------ P. Van Ransbeeck and Ch. Hirsch.
9. Multidimensional upwind scheme for the pseudo-compressible
Euler equations: ------------------------------------------ J.A. Michelsen.
10. Local grid refinements for the Navier-Stokes equations based on
truncation error estimates: ---------------------------------- P. Ekstrand.
11. Multigrid for steady gas dynamics problems: -------------------------------
----- P.W. Hemker, B. Koren, W.M. Lioen, M. Nool and H.T.M. van der Maarel.
12. Improving Euler computations at low Mach numbers: -------------------------
------------------------------------------------- B. Koren and B. van Leer.
13. BASIS3, a data structure for 3-dimensional sparse grids: ------------------
-------------------------------------------- P.W. Hemker and P.M. de Zeeuw.
14. Finite volume multigrid for 3D-problems: --------------------- P.W. Hemker.
15. Multiple semi-coarsening techniques: ----------------------- P.M. de Zeeuw.
16. Semi-coarsening in three directions for Euler-flow computations in
three dimensions: ---------------- B. Koren, P.W. Hemker and P.M. de Zeeuw.


From: Martin Peters <>
Date: Fri, 6 Jun 1997 09:17:31 +0100
Subject: New Book on Spectral Elements for Transport-Dominated Equations

D. Funaro, University of Modena, Italy
Spectral Elements for Transport-Dominated Equations
Lecture Notes in Computational Science and Engineering Vol 1.
Eds.: M. Griebel, D.E. Keyes, R.M. Nieminen, D. Roose, T. Schlick.
ISBN 3-540-62649-2; X, 211 pp. Softcover $ 52,00, available.

This new series will cover monographs, lecture course material, and
high-quality proceedings on topics from all subspecialties described by
the term "computational science and engineering". This includes theore-
tical aspects of scientific computing such as mathematical modeling,
optimization methods, discretization techniques, multiscale approaches,
fast solution algorithms, parallelization, and visualization methods as
well as the application of these approaches throughout the disciplines
of biology, chemistry, physics, engineering, earth sciences, and econo-

The book deals with the numerical approximation of various PDEs using
the spectral element method, with particular emphasis for elliptic
equations dominated by first-order terms. It provides a simple
introduction to spectral elements with additional new tools (upwind
grids and preconditioners). Applications to fluid dynamics and
semiconductor devices are considered, as well as in other models were
transport-diffusion equations arise. The aim is to provide the reader
with both introductive and more advanced material on spectral Legendre
collocation methods. The book however does not cover all the aspects of
spectral methods. Engineers, physicists and applied mathematicians may
study how to implement the collocation method and use the results to
improve their computational codes.

Contents: The Poisson equation in the square.- Steady trans-
port-diffusion equations.- Other kinds of boundary conditions.- The
spectral element method.- Time discretization.- Extensions.- Appendix.-
References.- Index.

Contact person at Springer-Verlag:

Martin Peters
Mathematics Editor phone: *49-6221-487 409
Springer-Verlag fax: *49-6221-487 355
Tiergartenstr. 17 e-mail: peters
69121 Heidelberg


From: Mario Storti <>
Date: Tue, 03 Jun 1997 20:02:31 -0300
Subject: World Congress on Computational Mechanics

Buenos Aires (Argentina), 29 June - 2 July 1998

2nd Annoncement
IACM - International Association of Computational Mechanics

Following the success of the three previous World Congresses on
Computational Mechanics held in Austin, Texas (USA (1986), Stuttgart
(Germany1990), and Chiba (Japan 1994), the International Association
for Computational Mechanics (IACM) is pleased to announce the Fourth
World Congress on Computational Mechanics (WCCM IV) to take place in
Buenos Aires (Argentina) on 29 June - 2 July 1998.


Participants who wish to contribute papers to the Congress are
requested to submit a one page abstract together with Abstract Form A
(which can be downloaded at the servers below) no later than June 30,
1997 to one of the Conference Secretariats.

Conference information, including the conference programme schedule,
instructions for writing one page abstracts, pre-registration, hotels
and tours can be found on the Conference Web Page located at the
following sites:

Keynote, Contributed and Organized Sessions are envisaged in topics
related to theoretical developments and applications in any field of
Computational Mechanics. Typical topics to be covered will include:

* AI & Expert Systems * Process & Chemical Engineering
* Mesh Generation & Refinement * Environmental Science
* Biomechanics * Robotics and Control
* Metal Forming Processes * Geomechanics
* Computational Physics * Solid & Structural Mechanics
* Numerical Methods & Computing * Inverse Problems & Optimisation
* CAD, CAM and CAE * Smart Algorithms & Adaptive
* Nonlinear Dynamics * Mathematical Modeling Methods
* Computational Fluid Mechanics * Scientific Visualisation
* Parallel Computing * Stochastic Mechanics
* Electromagnetics * Material Science


From: Pat Worley <worley@haven.EPM.ORNL.GOV>
Date: Thu, 5 Jun 1997 11:05:13 -0400 (EDT)
Subject: Gordon Conference on High Performance Computing

There is still room for additional attendees at the Gordon Conference on High
Performance Computing, and the Gordon Research Conference administration has
agreed to extend the application deadline. As a practical matter,
applications need to be submitted no later than JULY 1. We will also stop
accepting applications before that date if the maximum meeting size is
reached, so please apply as soon as possible if you are interested in

The simplest way to apply is to download the application form from the web

or to use the online registration option available at the same site.
If you have any problems with either of these, please contact the organizers
at and


From: Lloyd Fosdick <>
Date: Fri, 6 Jun 1997 07:12:39 +0300
Subject: Visiting Faculty Position in Turkey

For the last two years I have been teaching in the Computer Science
Department at Dokuz Eylul University in Izmir, Turkey. The first year I did
this under a Fulbright grant and in the second year I did it under a
contract with the University. Soon I will be leaving the University and
they are very interested continuing to have an English speaking faculty
member as instruction in this program is in English. And of course they
would welcome a visitor who could bring added depth and breadth to their
program. For these reasons the chairman, Prof. Dr. Esen Ozkarahan, has
asked me to circulate the announcement below.

I believe this announcement should be especially attractive to scholars
who have retired and are interested in continuing some activity in their
profession as well as an opportunity to visit a very interesting part of
the world. On a personal note I should add that my wife and I have found
this environment so enjoyable that we have decided to continue to live
here. Izmir is on the Aegean coast and is near many famous archeological
sites. We have found the people here to be very friendly and hospitable.
There is an active Turkish-American Association here which provided us our
first language courses in Turkish and sponsors tours and cultural programs.

-- Lloyd Fosdick


The Department of Computer Science of Dokuz Eylul University (DEU) in
Izmir, Turkey is interested in a computer science academician, starting
from Fall 1997, whose native tongue is English (North American). DEU has
both undergraduate and graduate classes. This Fall we will have 130
undergraduates up to junior year, 50 MS students and 5 PhD students to be
accepted in Spring 1998. The language of instruction is English.

The Department is interested in teaching relationships of varying
degrees. We would provide a free furnished 3 bedroom apartment and a
department office in exchange for teaching one undergraduate course per
semester. The course topic should be an elementary subject such as Discrete
Computational Structures, Programming Languages, or Computer
Organization/Architecture. After being here for one semester a salaried
contract for further work can be negotiated.

Interested parties should contact either of the following Department
faculty members and should include their curriculum vitae and names of
three references.

Prof. Dr. Lloyd Fosdick (
Prof. Dr. Esen Ozkarahan (

The postal address is:
Dokuz Eylul University
Department of Computer Science
Engineering Faculty
Bornova, Izmir


From: Andy Wathen <>
Date: Fri, 6 Jun 97 17:00:48 BST
Subject: Position at University of Oxford

University-Industry Liaison Ofricer

Applications are invited for a post of University-Industry Liaison Officer
to work with the Oxford Centre for Industrial and Applied Mathematics in the
Mathematical Institute and the Numerical Analysis Group in the Computing
Laboratory. The appointment will be for three years in the first instance,
starting on October lst or as soon as possible thereafter.

The successful candidate will coordinate the OCIAM Industrial Club and the
industrial sponsorship scheme for the MSc in Mathematical Modelling and
Numerical Analysis. In addition, he/she will be involved in teaching for
the MSc and win be expected to undertake research in industrially relevant

It is hoped that the appointment will become permanent if sufficient
industrial funds can be secured. Furtner particulars can be found at

or can be obtained from Adrienne Hart-Davis, OCIAM, Mathematical Institute,
24-29 St.Giles, Oxford OX1 3LB, U.K.
(tel: +44-1865-270501, fax: +44-1865-270505, email:

Applications, including a CV and the names of two referees, should be sent
to the same address by July 1st, 1997.


From: Cleve Moler <>
Date: Sat Jun 7 15:40:46 EDT 1997
Subject: Positions at MathWorks

We have a number of open positions available at the MathWorks. We are
located in Natick, Massachusetts, fifteen or so miles west of downtown
Boston, Harvard, MIT and BU. A complete list, as well as background
information on our company and our products, is available off our home page:

One of the posted positions should be of particular interest to readers
of the NA Digest.

Numerical Analyst:

Use your skills in numerical analysis, scientific computation, and mathematical
software development to enhance the mathematical capabilities of MATLAB. You
must have a strong background in computational linear algebra and have a deep
understanding of floating point arithmetic. You will function as an individual
contributor, as part of our mathematics team in our applications development
group, as you enhance MATLAB's powerful computation environment. Minimum
qualifications: an MS or PhD in mathematics or computer science; good written
and verbal communication skills; MATLAB, C, and LAPACK programming experience

Please let me know if you want more information about this particular
position. Or, follow the resume link off our job openings page.

-- Cleve


From: Bryan Davidson <>
Date: Thu, 5 Jun 97 17:30:26 +0100
Subject: Position at Deutsche Morgan Grenfell

Position at Deutsche Morgan Grenfell

Quantitative Software Engineer

This is an excellent opportunity for a quantitative software engineer
to work in a product and system development role in FX derivatives
with a leading global investment bank.
The position is based in London.

Candidates must have
1.Mathematical knowledge in one or more of probability, statistics,
mathematical modelling, pdes, monte carlo simulation, stochastic calculus
and appreciation of the issues arising in mathematical software.
2.Solid C++ programming skills.
3.Knowledge of object orientated design, design patterns (and
preferably some methodology such as OMT, Booch, UML)
4.Experience of commercial software engineering practice in a small
project team environment.
5.UK residency.

Any of the following will also be viewed favourably:
6. Experience of developing in Microsoft developer studio under
windows NT 4.0
7. UNIX (ideally AIX)
8. Database design skills
9. Development experience with distributed applications

Interested persons should send their CV together with a covering letter to

Dr M Gorrod
Deutsche Bank London
6-8 Bishopsgate

Informal enquiries regarding this position can be made to

Dr B Davidson: (0171) 5452986
Dr M Gorrod: (0171) 5451597


From: CERCA <chantal@CERCA.UMontreal.CA>
Date: Sun, 1 Jun 1997 18:27:22 -0400
Subject: Postdoctoral Positions at CERCA, Montreal

Network for Computing and Mathematical Modeling (NCM2)

at CERCA (Centre for Research on Computation and its Applications),
Montreal, Quebec, Canada

(For more information: or

Competition CERCA-6:
Development of Parallel Codes for Numerical Weather Prediction

In order for parallel atmospheric models to be efficient, it is necessary to
optimize codes and to adapt them to the new parallel computer
architectures. The challenge is to develop new parallel algorithms for
numerical simulation of atmospheric flow. The fellow will participate in the
parallel implementation of the GEM (Global Environmental Multiscale)
atmospheric model. This project will also involve algorithmic development,
code testing and optimization. Candidates must have experience in modern
computation methods used in fluid mechanics and in parallel computing.

The deadline for receipt of applications is July 1, 1997.

Competition CERCA-7:
Flood simulation and risk

The challenge is to use dynamical atmospheric models and hydrological models
to improve our ability to forecast severe precipitation and their impact on
flash floods. Together with the Atmospheric Environment Service, a research
team will examine the use of coupled atmospheric-hydrological models for
flash flood simulation. The fellow will join the environment research team
at CERCA to work on the coupling of a high resolution regional atmospheric
model with a distributed hydrological model. The goal is to simulate severe
precipitation events and their impact on flash floods. The candidate should
have experience with either mesoscale meteorological models or distributed
hydrological models, and familiarity with the other.

The deadline for receipt of application is August 31, 1997.


From: Edward Sisson <>
Date: Mon, 02 Jun 97 09:07:03 EST
Subject: Contents, SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing
Volume 18, Number 4, JULY 1997

A High-Order Godunov-Type Scheme for Shock Interactions in Ideal
Wenlong Dai and Paul R. Woodward

An Iterative Riemann Solver for Relativistic Hydrodynamics
Wenlong Dai and Paul R. Woodward

An Adaptive Mesh Projection Method for Viscous Incompressible Flow
Louis H. Howell and John B. Bell

Merging Computational Elements in Vortex Simulations
Louis F. Rossi

A Linearized Crank-Nicolson-Galerkin Method for the Ginzburg-Landau Model
Mo Mu

Accuracy Enhancement for Higher Derivatives Using Chebyshev Collocation and a
Mapping Technique
Wai Sun Don and Alex Solomonoff

Efficient Derivative Codes Through Automatic Differentiation and Interface
Contraction: An Application in Biostatistics
P. Hovland, C. Bischof, D. Spiegelman, and M. Casella

Mean-Square Numerical Methods for Stochastic Differential Equations with Small
G. N. Milstein and M. V. Tret'yakov

Fast and Exact Simulation of Stationary Gaussian Processes Through Circulant
Embedding of the Covariance Matrix
C. R. Dietrich and G. N. Newsam

Subspace Orthogonalization for Substructuring Preconditioners for
Non-self-adjoint Elliptic Problems
Gerhard Starke

Numerical Methods for a Nonconvex Optimization Problem Modeling Martensitic
Roy A. Nicolaides, Noel Walkington, and Han Wang

Asymptotic Expansion of the Free-Space Green's Function for the Discrete 3-D
Poisson Equation
Richard H. Burkhart

The Orthogonal qd-Algorithm
Urs von Matt

Domain Decomposition Using Spectral Expansions of Steklov-Poincare Operators II:
A Matrix Formulation
Ramesh Natarajan

Implementation of Jacobi Rotations for Accurate Singular Value Computation in
Floating Point Arithmetic
Zlatko Drmac

Regularization by Truncated Total Least Squares
R. D. Fierro, G. H. Golub, P. C. Hansen, and D. P. O'Leary


From: ETNA <>
Date: Tue, 3 Jun 1997 14:52:12 -0400
Subject: Contents, Electronic Transactions on Numerical Analysis

Electronic Transactions on Numerical Analysis (ETNA).
Volume 5, Spring 1997.

1. An algorithm for the numerical solution of differential equations
of fractional order. Kai Diethelm.

7. On a converse of Laguerre's Theorem. Thomas Craven and George Csordas.

18. Circulant preconditioners for convolution-like integral equations
with higher-order quadrature rules. Michael K. Ng.

ETNA articles can be obtained via the World Wide Web (URL, Gopher (, anonymous ftp
(, or e-mail (send requests to


From: Edit Kurali <>
Date: Thu, 5 Jun 1997 00:56:44 -0400 (EDT)
Subject: Contents, J. Approximation Theory

Table of Contents: J. Approx. Theory, Volume 89, Number 2, May 1997

Wolfgang Luh
Multiply universal holomorphic functions

K. H. Kwon, D. W. Lee, and S. B. Park
New characterizations of discrete classical orthogonal polynomials

Michael Schreiner
Locally supported kernels for spherical spline interpolation

D. Leviatan and I. A. Shevchuk
Some positive results and counterexamples in comonotone approximation

Eyangelos K. Ifantis
A criterion for the non uniqueness of the measure of orthogonality

Hans-J\"org Wenz
On the limits of (linear combinations of) iterates of linear operators

Amiran Ambroladze and Hans Wallin
Convergence of rational interpolants with preassigned poles

Rachid Benzine
Asymptotic behavior of orthogonal polynomials corresponding
to measure with infinite discrete part off a curve


End of NA Digest