NA Digest Saturday, May 8, 1999 Volume 99 : Issue 19

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

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From: Bill Hager <>
Date: Fri, 7 May 1999 18:00:01 -0400 (EDT)
Subject: Bound Infinity Norm of a Block Tridiagonal Matrix

Let T be the m by m tridiagonal matrix with 2's on the diagonal and with
-1's on the super and subdiagonal. Let E be a block tridiagonal (m^2) by (m^2)
matrix with diagonal blocks I + 2*inv(T) and with super and subdiagonal
blocks -inv(T), where I is the m by m identity matrix and "inv" denotes
inverse. From the numerical results, we know that the infinity norm
(largest absolute row sum) of inv(E) is 1.67 if m=10, 2.08 if m=20,
2.50 if m=40. Hence, the infinity norm appears to be either bounded, as a
function of m, or slowly growing. Does anyone know how to establish this?

Bill Hager


From: Zhangxin Chen <>
Date: Mon, 3 May 1999 09:45:10 -0500
Subject: New Book, Bifurcation Theory & its Numerical Analysis

New Book, Bifurcation Theory & its Numerical Analysis
Edited by: Zhangxin Chen, Shui-Nee Chow, and Kaitai Li
Springer-Verlag Singapore
ISBN: 981-4021-58-X


Peter Bates, Kening Lu, and Chongchun Zeng,
Invariant foliations of overflowing manifolds
for semiflows in Banach space
Pietro-Luciano Buono, Martin Golubitsky, and Antonio Palacios,
Heteroclinic cycles in systems with D_n symmetry
Zhangxin Chen,
Some problems in mathematical modeling and simulation
for applications of fluid flows in porous media
Natalia L. Khlopina,
Numerical experiments for a finite element approximation
of two-phase flow in porous media
Giampaolo Cicogna,
Resonant bifurcations and normal forms
Zhilan Feng,
Stability of periodic solutions in an epidemiological model
William F. Langford and Kaijun Zhan,
Hopf Bifurcations Near 0:1 Resonance
Alain Leger,
On the bifurcation diagram of the equilibrium
problem of elastic-plastic solids
Dongsheng Li and Kaitai Li,
Global bifurcation of nonlinear eigenvalue problems in cones
Mingjun Li,
Sensitive dependence on initial conditions
and topological transitivity
Yi Li,
Exact multiplicity of positive solutions of some elliptic problems
Liquan Mei and Aixiang Huang,
The coupling method of spectral method and streamline diffusion
FEM for neutron transport equations
George W. Reddien,
Applications of implicit Liapunov-Schmidt reductions
Masaharu Taniguchi,
Multiple existence and classification of
equilibrium balls in a free boundary problem
Lizhou Wang and Kaitai Li,
Existence of positive solutions of some systems of elliptic equations
Wei Wu,
Heteroclinic and Hopf points bifurcating from local singular points
Chunshan Zhao,
The asymptotic behavior of the non-autonomous sine-Gordon equation
Qingsong Zou and Jingan Lei,
Bifurcation for subdifferential operator equations


From: H. Bungartz <>
Date: Mon, 3 May 1999 19:23:22 +0200 (METDST)
Subject: Symposium Honoroing Karl-Heinz Hoffmann

Sonderforschungsbereich 438

on the occasion of his 60th birthday
Technische Universitaet Muenchen
June 30 - July 1, 1999
Muenchen, Germany

On the occasion of Karl-Heinz Hoffmann's 60th birthday, the Collaborative
Research Centre (SFB) 438 "Mathematical Modelling, Simulation, and
Verification in Material-Orientated Processes and Intelligent Systems",
together with the Graduate College "Applied Algorithmic Mathematics",
organizes a two-day scientific symposium in Muenchen on June 30 and July 1,
1999. According to the research activities of the SFB 438 and of its former
speaker Karl-Heinz Hoffmann, the thirteen talks will cover a broad range of
topics concerning the potential of modern applied mathematics and scientific

The following invited speakers will contribute to the symposium:

A. FASANO (Firenze) M. NIEZGODKA (Warsaw)
W. HACKBUSCH (Leipzig) S. J. POEPPL (Luebeck)
W. JAEGER (Heidelberg) J. F. RODRIGUES (Lisboa)
M. B. LUSKIN (Minneapolis) T. ROUBICEK (Praha)
S. MUELLER (Leipzig) J. SPREKELS (Berlin)
I. MUELLER (Berlin)

For more detailed information, please visit

or contact Ms. Marlis Clason:


From: Piyush Mehrotra <>
Date: Mon, 3 May 1999 16:02:15 -0400 (EDT)
Subject: High Performance Fortran User Group

HUG'99: The 3rd Annual HPF User Group meeting
August 1-2, 1999
Redondo Beach, California


The Third Annual High Performance Fortran User Group (`HUG') meeting will
be held on August 1-2, 1999 at the Crowne Plaza Hotel, Redondo Beach,
California. This meeting follows the first two meetings in the series held
in 1997 in Santa Fe, New Mexico, USA, and in 1998 in Porto, Portugal. It
provides an opportunity for users of HPF to meet each other, share ideas
and experiences, and obtain up-to-date information on current HPF
implementations and future plans.

This meeting precedes the 8th High Performance Distributed Computing
Conference and is located at the same hotel.

The HUG meeting will include:
* invited presentations by HPF users & technology providers
* contributed talks
* poster session
* demonstrations

There will also be a panel session focussed on achieving high performance in
scientific applications using Fortran and its extensions, including HPF,
OpenMP, MPI, PVM, etc.

We invite abstracts for presentations from all those working on topics
of relevance for High Performance Fortran. Relevant subject areas
include, but are not limited to:

* applications in HPF

* HPF software, e.g.:
-- compilers
-- HPF programming support tools
-- libraries

* HPF features, e.g.:
-- HPF evaluations
-- extensions and improvements to HPF
-- interoperability of HPF with other languages

Abstracts of up to 500 words must be submitted electronically by May 7, 1999
to They must be in HTML format readable by Netscape 2.0 or
later. Authors will be notified of acceptance by March 19, 1999. The
selected abstracts will be posted on the Web prior to the conference.

Important dates
May 7, 1999: deadline for submission of abstracts
May 21, 1999: notification of acceptance.

Program committee

Piyush Mehrotra ICASE, Hampton, USA (Chair)
Barbara Chapman University of Southampton, Southampton, UK
Ken Kennedy Rice University, Houston, USA
Chuck Koelbel Rice University, Houston, USA
Vince Schuster Portland Group, Portland, USA
Henk Sips Delft University of Technology, Netherlands
Eric de Sturler University of Illinois, Urbana, USA
Yoshiki Seo NEC Corp, Japan

Further information about this event will be available on the HUG'99 Web
page at:

Enquiries may be sent to


From: Debby Lanser <>
Date: Tue, 04 May 1999 09:01:13 +0200
Subject: Workshop on the Solution of PDEs on the Sphere


The PCMDI is pleased to announce that the 8th Workshop on the Solution of
Partial Differential Equations on the Sphere will be held in San Francisco,
California, USA from November 30 through December 3, 1999.
Meetings will take place at the Marriott Hotel at Fisherman's Wharf.
Registration deadline is September 30, 1999.

Abstracts must be submiteed electronically by using the web registration form
or by sending an e-mail to

Additional details, including on-line registration may be found at:


From: Jose Castillo <>
Date: Wed, 5 May 1999 15:54:10 -0700 (PDT)
Subject: Panamerican Workshop in Chile

Call for papers. Updated Web page.

The Third PanAmerican Workshop on Applied and Computational Mathematics
(PWACM III) will be held in Chile, December 12-17, 1999. The Workshop will
emphasize applications of mathematics to industry, technology, science and
society. Proposals for mini-workshops, short talks, posters, and short
courses are solicited. See

Professor Jose E. Castillo
Interdisciplinary Research Center
San Diego State University
San Diego California 92182-7720
Phone (619)-594-7205 Fax (619)594-6746


Date: Thu, 06 May 99 11:51:13 +0300
Subject: Multigrid Workshop at Weizmann Institute

A workshop entitled:

Advanced Multigrid for Fluid Dynamics
and Inverse Problems

will take place on June 3, 1999, from 9:00am to 5:30pm at the
Weizmann Institute of Science, Rehovot, Israel. The list of
lecturers, abstracts and schedule can be found in


From: Trini Flores <>
Date: Thu, 06 May 99 08:22:44 -0500
Subject: ACM-SIAM Symposium on Discrete Algorithms

Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms
SODA 2000
January 9-11, 2000
Holiday Inn Golden Gateway Hotel
San Francisco, California

Conducted by Society for Industrial and Applied Mathematics (SIAM) and
sponsored by ACM Special Interest Group on Algorithms and Computation
Theory (SIGACT) and SIAM Activity Group on Discrete Mathematics

Deadline for Abstract Submission:
Long form (10 pages): July 13, 1999
Short form (2 pages): July 30, 1999
For instructions on how to submit extended abstracts and to obtain
more information about SODA 2000, visit:


From: Trini Flores <>
Date: Thu, 06 May 99 08:22:44 -0500
Subject: SIAM-INRIA Conference on Numerical Combustion

Eighth International Conference on Numerical Combustion
March 5-8, 2000
Amelia Inn and Beach Club
Amelia Plantation, Amelia Island, Florida

Conducted by Society for Industrial and Applied Mathematics (SIAM)
with the cooperation of Institut National de Recherche en Informatique
et en Automatique (INRIA)

September 1, 1999: Deadline for submission of minisymposium proposals
September 15, 1999: Deadline for submission of contributed abstracts
for lecture or poster presentations

For instructions on how to submit minisymposium proposals and
abstracts and to obtain more information about the Combustion
conference, visit:


From: Bernard Beauzamy <>
Date: Wed, 5 May 1999 01:37:18 EDT
Subject: Position at Societe de Calcul Mathematique, Paris

The Societe de Calcul Mathematique, SA, in Paris is offering a PhD position
in the domain "mathematical algorithms connected with satellite positioning".

For further information, please consult our web site :
Bernard Beauzamy
Chairman and CEO, SCM SA.


From: Christian Bischof <>
Date: Tue, 04 May 1999 14:39:13 +0200
Subject: Faculty Position at RWTH Aachen

In the Mathematical-Scientific Faculty of the University of Technology
Aachen (RWTH Aachen) there is an opening for a new position as

Professor for Computer Science
(Visualisation of Numerical Simulations)

The position is with tenure and at the German C-3 salary level.

Representation of the field is required through research and teaching
activities. Among the duties are teaching of courses in the computer
science curriculum. The scientific emphasis should be in practical
computer science, preferably in visualization of numerical simulations.
Possible areas of specialization are methods and tools for the
representation, manipulation, and interaction with results of
numerical simulations. Active Participation in interdisciplinary
research endeavors and the formation of a competence center for
high-performance computing are desireable.

The position requires a habilitation or equivalent scientific
achievements as well as aptitude in teaching. Handicapped applicants
are encouraged to apply.

The University of Technology Aachen is striving to increase the
numbers of women in research and teaching. Applicants are asked to
apply and submit the usual material (curriculum vitae, description of
scientific or professional background, list of publications and
courses taught) until
May 21, 1999
to the Dekan der Mathematisch-Naturwissenschaftlichen Fakult=E4t
der RWTH Aachen, Templergraben 64, 52056 Aachen, Germany.

General enquiries can be directed to Christian Bischof, Aachen University
of Technology, Inst. f. Scientific Computing & Computing Center


From: Henry Greenside <>
Date: Wed, 5 May 1999 00:59:56 -0400
Subject: Postdoctoral Position at Duke and Caltech

A strong highly-motivated researcher is sought for a
joint Caltech-Duke postdoctoral position in
computational fluid dynamics and nonequilibrium physics
beginning August 1, 1999. The research will be done in
collaboration with Professor Michael Cross (Department
of Physics, Caltech) and Professor Henry Greenside
(Department of Physics, Duke University) and will
involve the development and application of new
three-dimensional computer codes that will allow
quantitative comparisons of theory with experiment for
convecting fluids in large-aspect-ratio cells. A
particular emphasis will be on studying and
understanding the transitions to weak turbulence and
properties of weak turbulence as functions of Rayleigh,
Taylor, and Prandtl numbers. Applicants should be no
more than three years beyond the date of their PhD and
they should have substantial prior experience with
computational fluid dynamics (especially algorithms for
integrating the time-dependent incompressible
Navier-Stokes equations) and with writing large
scientific codes, as well as a strong interest in the
physics of weakly turbulent systems.

Interested candidates should send a resume with three
references to:

Professor Henry Greenside
Department of Physics
Duke University
P.O. Box 90305
Durham, NC 27708-0305

This information can also be sent via e-mail to the address If you have any questions, please
contact Professor Henry Greenside at 919-660-2548 or at


From: I. G. Graham <>
Date: Fri, 07 May 1999 09:41:31 +0100
Subject: Postdoctoral Position at University of Bath

University of Bath: Department of Mathematical Sciences
Postdoctoral Research Assistant

Applications are sought for a United Kingdom Engineering and Physical
Sciences Research Council funded position which is available for up
to 3 years to work on

Parallel Methods for PDE Eigenvalue Problems

The project is funded under the EPSRC's Computational PDEs Initiative
and will develop innovative parallel algorithms for large sparse
unsymmetric eigenvalue problems arising from stability computations in
computational PDEs, with particular applications to fluid flow problems.
The eigenvalue solvers will be built around various shift-invert
iterative strategies, with the associated (indefinite and
unsymmetric) systems being solved using parallel software recently
developed at Bath (

The project is also supported by AEA Technology, Harwell, UK who have
strong industrial interest in the outcome.

The main objectives are (i) To develop and implement
parallel eigenvalue software which is efficient for 3D applications;
(ii) To test the solver on a variety of industrially relevant
applications, especially those arising from mixed finite element
discretisations of the steady incompressible Navier-Stokes equations;
(iii) To produce a public domain version of the eigenvalue solver and
to implement it in the ENTWIFE code, developed by AEA Technology. An
associated Ph.D. project will concentrate on the theory and analysis
of the eigenvalue solver.

Applicants should have an interest and experience in
large scale scientific computing applied to the numerical solution
of PDEs. Knowledge of one or more of the languages C, C++ and Fortran
is essential. Experience in parallel programming using message passing
techniques and in modern domain decomposition and
multilevel iterative techniques would be a distinct advantage.

Recent theoretical and practical work arising from the DOUG project can be
viewed at .
More details of activity on eigenvalue solvers at Bath
can be found at .

The position is available on or as soon as possible after September 1st
1999 for up to three years.

The appointment will be at the Grade 1A level and the salary will be
up to 20,107 pounds sterling, depending on qualifications,
age and experience.

Further details of the project may be obtained
from either of the Investigators, Professor Alastair Spence
(}, email: or
Dr Ivan Graham (, email:
at the Department of Mathematical Sciences,
University of Bath. Telephone +44 (1225) 826989, fax +44 (1225) 826492.

The official closing date for applications is May 14th 1999.

Anyone interested in applying should immediately contact either Ivan Graham or
Alastair Spence directly by email at the addresses above.

In addition applicants should also contact Hazel Thorburn
( at the Personnel Office of the University of
Bath, Bath BA2 7AY, quoting Ref No 99/131 stating their interest in
this position.


From: Mark Ainsworth <>
Date: Fri, 7 May 1999 15:35:08 +0100 (BST)
Subject: Postdoctoral Position at University of Strathclyde

Department of Mathematics, University of Strathclyde
Postdoctoral Research Assistant

Adaptive finite element procedures for computational electromagnetic simulation

Applications are invited for this three year EPSRC funded project held
jointly by Prof. M. Ainsworth in the Department of Mathematics at
Strathclyde University, Glasgow, Scotland and Prof. K. Morgan at the
Department of Civil Engineering, University of Wales at Swansea.

The project is funded under the Computational PDEs Initiative and will
develop the mathematical theory and computer implementation of adaptive
finite element methods with application to computational electromagnetic
simulation. The first two years of the appointment will be spent at
Strathclyde and the final year at Swansea. The research work will
involve interaction with staff at British Aerospace plc, who are also
supporting the project.

Applicants should ideally have, or be close to completing, a PhD in
numerical or applied analysis of partial differential equations, and have
experience and interest in numerical simulation using finite element
methods. The appointment will be at the Grade 1A level and the salary
will be 15,735-20,107 pounds, depending on qualifications, age and

Further details of the project may be obtained from either of the
Investigators: Prof. Mark Ainsworth, Tel. 0116 252 3896,
or Prof. Ken Morgan, Tel. 01792.295515,

For application form (available on request in alternative format for
applicants with a disability) contact the Personnel Office, University
of Strathclyde, Glasgow, G1 1QX. Tel 0141 553 4133 (24 hour Voicemail
Service). Applications Closing Date: 25th May 1999. Overseas applicants
are encouraged to contact either investigator directly by email.


From: Thomas Hogan <>
Date: Mon, 3 May 1999 16:14:11 -0400 (EDT)
Subject: Contents, Journal of Approximation Theory

Table of Contents: J. Approx. Theory, Volume 98, Number 1, May 1999

Mar\'ia J. Carro, Stefan Ericsson, and Lars-Erik Persson
$S$-divisibility property and a Holmstedt type formula

Anna Kamont
Weighted moduli of smoothness and spline spaces

S. M. Gomes, A. K. Kushpel, J. Levesley, and D. L. Ragozin
Interpolation on the torus using sk-splines with number theoretic knots

Say Song Goh, S. L. Lee, and K. M. Teo
Multidimensional periodic multiwavelets

Stephen D. Fisher and E. B. Saff
The asymptotic distribution of zeros of minimal Blaschke products

V. N. Temlyakov
Greedy algorithms and $M$-term approximation with regard to redundant

Bo Rui and R. Wong
A uniform asymptotic formula for orthogonal polynomials associated with

Jacek Tabor and J\'ozef Tabor
Stability of the Cauchy type equations in the class of differentiable

Ying Guang Shi
On Gaussian quadrature formulas for the Chebyshev weight


From: Oleg Burdakov <>
Date: Wed, 5 May 1999 21:06:53 +0200 (MET DST)
Subject: Contents, Optimization Methods and Software

Table of Contents
Optimization Methods and Software (OMS)
Volume 10, Number 4 (April, 1999)

L. Grippo and M. Sciandrone
Globally convergent block-decomposition techniques in unconstrained

G. Poenisch, U. Schnabel und H. Schwetlick
Computing multiple points by using simple extended systems and
computational differentiation

Latex style files:

Instructions for authors, subscription information, free sample copies:

Complete table of contents for the journal OMS, forthcoming papers:


End of NA Digest