NA Digest Sunday, January 26, 1997 Volume 97 : Issue 04

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: Steve Leon <>
Date: Fri, 24 Jan 1997 12:51:10 -0500 (EST)
Subject: Kermit Sigmon

Kermit Sigmon, 1936-1997

Kermit Sigmon succumbed to liver cancer on January 14, 1997, after being
ill only one month. He is survived by two sisters, his wife Ruth, daughter
Kristina, and two grandchildren. His many friends, colleagues and
students will greatly miss his cheerful and congenial company, generous
spirit, clearheaded leadership and outstanding teaching.

He received his Ph.D. from the University of Florida in 1966, working in
topological algebra under the direction of Alexander Doniphan Wallace. He
joined the faculty at Florida and remained there except for several summer
consulting positions and sabbatical years elsewhere.

Kermit directed three Ph.D. theses and published 14 papers on topics in
functional equations and Alexander cohomology. Over time his interests
shifted and he wrote several papers in numerical linear algebra as well
as a well known handbook, MATLAB Primer, published by CRC Press. He was
an Associate Editor for Aequationes Mathematicae (1974-1980) and SIMAX
(1989-present). He held a variety of offices in the Florida Section of
the MAA and also supported the training of math teachers.

He was a demanding but very popular teacher at Florida and won several
teaching awards. Most recently he was selected in 1995 by the Department of
Mathematics for Teaching Incentive Program award, which is given for
teaching excellence and provides a substantial salary increase. He also
won a University of Florida Teaching Award for the 95/96 academic year.

Kermit was one of the leaders of the ATLAST Project. He served
on the original planning team for the ATLAST workshops. During the period
1992-95 he served as presenter for three workshops and did an outstanding job.
ATLAST is an NSF-funded project which began in 1992 and has provided 16
workshops around the U.S. to date; the purpose of these is to encourage
and facilitate the use of software in teaching linear algebra and
to assist college faculty to update their linear algebra courses.

Throughout his career Kermit has made many invaluable contributions
to his department, including serving as Associate Chair, Undergraduate
Coordinator, Faculty Mentor for minority students, and providing academic
advising for hundreds of students. His work on curriculum development
has been substantial. He has even written software to facilitate the
department's record-keeping.

Kermit was an avid biker and tennis player, and his enthusiasm for biking is
probably what got him on the Metropolitan Planning Commission for Alachua
County and kept him there for 20 years. He also served on the University's
Transportation Committee, which developed a Master Plan for cooperation
between the university, city and county to expand local bus service and
make Gainesville a more biker-friendly city. These contributions led to
a number of recognitions, including the Gainesille City Commission
proclaiming August 5, 1985 to be "Kermit Sigmon Day".

Contributions may be made to the American Cancer Society or the the League
of American Bicyclists, 190 W. Ostend St., Suite 120, Baltimore, MD 21230,
and Ruth Sigmon can be contacted c/o Dept. of Math, Univ. of Florida,
Gainesville, FL 32611-8105.


From: Jean-Baptiste Hiriart-Urruty <>
Date: Wed, 22 Jan 1997 13:52:23 +0100 (MET)
Subject: Special Issue Honoring Stieltjes

Publication of a special issue of the journal
"Annales de la Faculte des Sciences de Toulouse", on December 1996,
entitled "100 years after Th.- J. STIELTJES", 205 pages.
Contents :
C.Berg, Moment problems and polynomial approximation
J.-P.Kahane, Sur trois notes de Stieltjes relatives aux series de Dirichlet
J.Korevaar, Electrostatic fields due to distributions of electrons
Th.W.Korner,On the representation of functions by trigonometric series
H.Stahl, Diagonal Pade approximants to hyperelliptic functions
W. Van Assche, Compact Jacobi matrices : from Stieltjes to Krein and M(a,b)
Price : 175 FF, plus sending (20 FF in Europe, 30 FF elsewhere)
Address to place orders : Mrs J.BROCKERS, Secretary of the Annales de la
Faculte des Sciences, Universite Paul sabatier, Department of mathematics,
118, route de Narbonne, 31062 TOULOUSE Cedex 4, France.

U.F.R. Math=E9matiques, Informatique, Gestion
Universit=E9 Paul Sabatier (Toulouse 3)
118, route de Narbonne
31062 TOULOUSE cedex, France


From: Ron Buckmire <>
Date: Fri, 24 Jan 1997 18:20:14 -0800
Subject: Mailing List for the Teaching of Numerical Analysis


I'm interested in online resources to assist in the teaching of (undergraduate)
numerical analysis. Does anyone know of ay mailing lists where such a discussion
could occur? If people do NOT know of one, would they be interested in joining
one? I have the capability on my machine,, to host a mailing list
and would be delighted to setup one, called NA-TEACH or something. If I get
between 5 and ten responses to this message I will interpret that as a gauge
that there IS enough interest to maintain a mailing list on the teaching of
numerical analysis.



Asst. Prof., Math Dept., Occidental College, 1600 Campus Road, L.A., CA 90041||+1 213 259 2536 (v)||+1 213 259 2958 (f)


From: Ruediger Verfuerth <>
Date: Wed, 22 Jan 1997 11:32:37 +0100
Subject: New Book on A Posteriori Error Estimation and Adaptive Grid Refinement

A review of a posteriori error estimation
and adaptive mesh-refinement techniques

Ruediger Verfuerth
Ruhr-Universitaet Bochum, Germany

Wiley-Teubner, 1996
ISBN 0-471-96795-5 (Wiley)
ISBN 3-519-02605-8 (Teubner)

This book gives an introduction to a posteriori error estimation and
adaptive mesh-refinement techniques for elliptic pdes. In Chapter I,
various a posteriori error estimators (residual, local Dirichlet and
Neumann problems, hierarchical bases, averaging) are presented and compared
for the Laplace equation as a model problem. Chapter II gives an abstract
framework for (non-) linear problems which is applied in Chapter III to
quasi-linear elliptic pdes of 2nd order, the stationary Navier-Stokes
equations, elasticity, the biharmonic equation and eigenvalue problems.
Chapter IV gives an introduction to adaptive mesh-refinement techniques and
the relevant data structures.

R. Verfuerth

Ruhr-Universitaet Bochum
Fakultaet fuer Mathematik
D-44780 Bochum

Tel. +234 - 700 3247
Fax. +234 - 709 4103


From: Martin Peters <>
Date: Thu, 23 Jan 1997 10:59:31 +0100
Subject: New Book, Foundations of Computational Mathematics

New Book Information:

Foundations of Computational Mathematics
Selected Papers of a Conference held at IMPA in Rio de
Janeiro, January 1997

F.Cucker, University of Hong Kong, M.Shub, T.J.Watson
Research Centre, Yorktown Heights, NY, USA (Eds.)

1997. Softcover DM 128,- |S 9344,40 sFr 113,-
ISBN 3-540-61647-0

This book contains articles corresponding to some of the
talks delivered at the Foundations of Computational
Mathematics (FoCM) conference at IMPA in Rio de Janeiro in
January 1997. FoCM brings together a novel constellation of
subjects in which the computational process itself and the
foundational mathematical underpinnings of algorithms are
the objects of study. The conference was organized around
nine workshops: systems of algebraic equations and
computational algebraic geometry, homotopy methods and real
machines, information based complexity, numerical linear
algebra, approximation and PDE's, optimization, differential
equations and dynamical systems, relations to computer
science and vision and related computational tools. The book
gives the reader an idea of the state of the art in this
emerging discipline.

Contact Person at Springer-Verlag:

Martin Peters
Mathematics Editor
Tiergartenstr. 17 69121 Heidelberg, Germany

e-mail: peters
tel.: +49 6221 487 409
fax: +49 6221 487 355


From: Michael Todd <miketodd@CS.Cornell.EDU>
Date: Thu, 23 Jan 1997 09:26:02 -0500 (EST)
Subject: Re: A Problem Involving Positive Matrices

In NA-digest v96n47, December 16, 1996, Avi Vardi asked about the existence and
uniqueness of a solution $x$ to $e^T x = 0$, $c(x) - B(x)x = 0$, where $e$ is
the vector of ones, $c(x)$ is a vector and $B(x)$ a symmetric matrix depending
(discontinuously) on $x$ and on a positive matrix $A$.

It turns out that a reformulation of this problem allows an easy solution.
Indeed, one can show that
[c(x) - B(x)x]_i = \sum_h [a_{hi}(x_i - x_h + 1)_+ - a_{ih}(x_h - x_i + 1)_+],
where $\lambda_+$ denotes $\max\{\lambda, 0\}$, which shows that
$c(x) - B(x)x$ is indeed continuous, and in fact is the gradient
of the function
f(x) := \sum{h,i} a_{hi}(x_i - x_h + 1)_+^2.
The existence and uniqueness now easily follow since $f$ is strictly convex
on $X := \{x: e^T x = 0\}$ and $\{x \in X: f(x) \leq f(0)\}$ is compact.

The problem arises in ranking teams or players based on their records.

-- Mike Todd


From: Jeff Cash <>
Date: Thu, 23 Jan 97 10:57:50 GMT
Subject: New Codes for Stiff Two-Point Boundary Value Problems

This is to announce two new codes, ACDC.f and COLMOD.f, for
the solution of singularly perturbed two-point boundary value
problems. These are extensions of the NETLIB codes TWPBVP.f and
COLNEW.f, and are designed to solve stiff boundary value problems
in an efficient way. The code ACDC.f is a deferred correction code
based on Lobatto Runge-Kutta formulae while the code COLMOD.f is a
modification of the collocation code COLNEW. Both codes are set in
an automatic continuation framework to allow extremely stiff problems
to be solved efficiently. The codes can be accessed from NETLIB under
the directory ode.

Extensive results comparing these new codes with some existing
NETLIB codes, together with double precision versions of ACDC.f and
COLMOD.f are on the Imperial College web page. This can be accessed at

Any comments will be gratefully received by


From: Jerry Taylor <>
Date: Thu, 23 Jan 97 10:03:58 MST
Subject: Optimization Code Available

The optimization code conmax.f is now available in netlib/opt/


A Fortran program is now available to solve the following general
nonlinearly constrained optimization problem:
Choose x1,...,xn to minimize w subject to
abs(fi - gi(x1,...,xn)) .LE. w, 1 .LE. i .LE. m1
gi(x1,...,xn) .LE. w, m1 + 1 .LE. i .LE. m2
gi(x1,...,xn) .LE. 0, m2 + 1 .LE. i .LE. m3
where m1, m2, m3 are integers with 0 .LE. m1 .LE. m2 .LE. m3, the fi are
given real numbers, and the gi are given smooth functions. Constraints
of the form gi(x1,...,xn) = 0 can also be handled without problem. Each
iteration of our algorithm involves approximately solving a certain
nonlinear system of first order ordinary differential equations to get a
search direction for a line search and using a Newton-like approach to
correct back into the feasible region when necessary. Our experience to
date has been that the program is more robust than any of the library
routines we have tried, although it generally requires more computer time.
We have found this program to be an extremely useful tool in diverse
areas, including polymer rheology, computer vision, and computation of
convexity-preserving rational splines. The package contains an SLP
routine as a backup, as well as user-callable subroutines for Muller's
method real root finding, line search, free-variable LP, and least-
distance QP. The program and its extensive user's guide can be obtained
by sending the message send conmax from opt to For a
discussion of the algorithm, program, and experimental results, please
see "An ODE-based approach to nonlinearly constrained minimax problems,"
E. H. Kaufman, Jr., D. J. Leeming, and G. D. Taylor, Numerical Algorithms
9 (1995), 25-37. The authors gratefully acknowledge the assistance of
Central Michigan University, University of Victoria (Canada), and
Colorado State University.


From: Alex Pothen <>
Date: Sun, 26 Jan 1997 11:54:56 -0500 (EST)
Subject: Change in ICASE Phone Numbers

On Feb 1, the area codes in the Hampton Roads region will change
from 804 to 757. Hence our new coordinates are:

Alex Pothen:
(757) 864-7497 (office) (757) 683-4414 (office)
(757) 864-2173 (secretary) (757) 683-3915 (secretary)
(757) 864-6134 (FAX) (757) 683-4900 (FAX)

David Keyes:
(757) 864-6873 (757) 683-4928
(757) 864-2173 (secretary) (757) 683-3915 (secretary)
(757) 864-6134 (FAX) (757) 683-4900 (FAX)

ICASE Department of Computer Science
MS 403, 6 North Dryden St. Education Building
NASA LaRC Old Dominion University
Hampton, VA 23681-0001 Norfolk, VA 23529-0162

Best wishes.
--Alex Pothen


From: Daniel Okunbor <>
Date: Wed, 22 Jan 1997 22:31:14 -0600 (CST)
Subject: NSF Summer Research Program for Undergraduates

sponsored by
National Science Foundation
Department of Computer Science/Intelligent Systems Center
University of Missouri-Rolla
Rolla, Missouri
June 2 - July 25, 1997


* for undergraduate juniors who have limited or no opportunities for research, to learn how to do research and to be involved in a parallel numerical
linear algebra research project.

* to learn state-of-the-art numerical algorithms in linear algebra.

* to learn new programming paradigms for use in parallel processing.

* to have access to an undergraduate research laboratory and computer
facilities to do parallel processing.

* to present a research paper at a special parallel processing conference
specifically designed for undergraduates.

* to earn up to six credit hours for undergraduate research.

Stipend of $2000, room, board and travel
allowance for each participant.

For further information contact:

Dr. Daniel Okunbor
NSF Undergraduate Research Program
Department of Computer Science
University of Missouri-Rolla
Rolla, MO 65409-0350
Phone: (573) 341-4491, FAX: (573) 341-4501


From: Maya Neytcheva <>
Date: Thu, 23 Jan 1997 08:41:09 +0100 (MET)
Subject: Conference on Preconditioned Iterative Solution Methods

Preconditioned Iterative Solution Methods
for Large Scale Problems in Scientific Computations
May 27-29, 1997, University of Nijmegen, The Netherlands

Owe Axelsson, Nijmegen, The Netherlands
Robert Beauwens, Brussels, Belgium
Tony F. Chan, Los Angeles, California
Richard E. Ewing, College Station, Texas
Wolfgang Hackbusch, Kiel, Germany
Piet Hemker, Amsterdam, The Netherlands
Rik Huiskes, Nijmegen, The Netherlands
Yuri A. Kuznetsov, Moscow, Russia
Ulrich Langer, Linz, Austria
Jean-Francois Maitre, Lyon, France
Frank Natterer, Munster, Germany
Panayot S. Vassilevski, Sofia, Bulgaria
Harry Yserentant, Tubingen, Germany

The purpose of the conference is to provide a forum for the presentation
and the discussion of recent progress in the analysis and implementation
of of preconditioned iterative solution methods.
This includes their implementation on parallel computer architectures.
A stress will be put on applications in various fields where a strong
demand of efficient solution of large scale problems exists.

TOPICS COVERED INCLUDE preconditioned iterative solution methods for
- second and fourth order elliptic scalar equations and systems of equations
- mixed variable variational problems
- nonselfadjoint problems and indefinite matrix problems
- inner-outer iteration methods
- parallel implementations, efficiency measures, scalability
- robust implementations, i.e. convergence uniform with respect to meshsize
parameter and singular perturbation parameters
- applications for Navier's equations and Stokes problem
- applications for nonlinear problems, such as electromagnetic field,
plastic flow, Navier-Stokes, and Miscible displacement problems
- Biomechanical applications; Helmholtz equation and
applications in Computer Tomography.

Papers intended for presentation at the conference should be submitted to
Owe Axelsson. The papers accepted for presentation at the conference are
planned to appear in a proceedings volume ready for the conference.
The intention is to have the whole proceedings volume refereed by some
international refereeing journal.
Some selected papers of original content will be considered for publication
in a special issue of Numerical Linear Algebra with Applications. All such
papers will be refereed according to the editorial policy of the journal.
Papers accepted for the journal are planned to appear in an issue
about six months after the conference.

Deadline for submission of full papers: April 2, 1997.
Referee reports and notification of acceptance: May 2, 1997.

Before March 15, 1997 f. 450.
At the registration desk f. 600 (currently \$ 350).
Fee includes a copy of the conference proceedings, three lunches and coffee
and tea during breaks.

attn. O. Axelsson or M. Neytcheva
Department of Mathematics
Toernooiveld 1, NL-6525 ED Nijmegen, The Netherlands
e-mail: fax: +31 (0)24 3652140


From: Florian Jarre <>
Date: Thu, 23 Jan 1997 19:10:49 GMT
Subject: Summer School on Nonlinear Systems of Equations

Summer School on

As part of the
"Harburger Sommerschulen zur numerischen Software"
this School is concerned with the solution of systems of
nonlinear equations and of overdetermined (nearly consistent)
nonlinear systems.
Special emphasis is put on high-dimensional systems as
arising from modelling of complex systems or from the
discretization of of differential and integral equations.
The basic solution methods and their implementations will
be discussed, and also discretization effects and the
bifurcation and stability of the solutions.

Aims: The seminar is aimed towards young scientists from industry
and universities. With the intention to motivate and support
the use of pubic domain software in in practical applications,
the seminar will also focus on software demonstrations.

Speakers: Peter Deuflhard, FU Berlin,
Eusebius Doedel, Concordia University, Montreal
Carl T. Kelley, North Carolina State, Raleigh
Florian Potra, University of Iowa, Iowa City
Klaus Schittkowski, Universitaet Bayreuth

Outline: There will be one class with about 24 participants,
the talks will be be given in English or in German.
In the mornings there will be two lectures with discussions
and problem sessions, in the afternoons software packages will
be introduced and the participants will apply the packages
to sample problems. A room with 24 workstatons will be
available for the sofware applications.

Date (of the School): 17.-21. Maerz 1997
Place: Technische Universitaet Hamburg-Harburg, 21073 Hamburg

Registration by www:
or by e-mail
Marcus Dietz


From: Mei-Qin Chen <>
Date: Fri, 24 Jan 1997 22:55:06 -0400 (EDT)
Subject: SIAM Southeastern-Atlantic Section

The Second Announcement and Call for Papers
The 21st Annual Meeting of SIAM Southeastern-Atlantic Section
April 4-5, 1997
North Carolina State University, Raleigh, North Carolina

The 21st annual SIAM-SEAS meeting will be held in Harrelson Hall on the
campus of North Carolina State University on Friday, April 4 and Saturday,
April 5, 1997. The organizing committee consists of H. T. Banks (co-chair),
Mei-Qin Chen, Jim Epperson (minisymposium coordinator), Pierre Gremaud,
Tim Kelley (co-chair), Jeff Scroggs, and Hien Tran (student paper
coordinator). We're looking forward to an amazing meeting.

Invited Speakers:
John E. Dennis, Jr., Rice University
"Optimization Using Surrogate Objectives"

Cass T. Miller, University of North Carolina
"Recent Advances in Object-Oriented Scientific Computing"

Douglas N. Arnold, Penn State University

Parallel Computing
"Architecture" - Ed Davis, NCSU
"Education" - Mladen Vouk, NCSU
"Min Exec" - Bob Funderlic (organizer), NCSU
"Applications" - Bob Plemmons, WFU
If you would like to organize a mini-symposium, please send your proposal
to Jim Epperson at by February 15.

Contributed Papers:
Several sessions of 20 minute presentations of contributed papers will
be held. Papers in all areas of applied mathematics are welcome. The
deadline for contributed abstracts is Feb 15. Please use the SIAM (available
from SIAM's web page or the web page for the meeting) abstract form to
submit your 75 word abstract for contributed talks. Please also include a
short list of keywords with your abstract (see question 7 on the electronic
abstract form). You can submit abstracts electronically to
Please put SIAM-SEAS 97 in the subject line. You may also send a hard copy
of your completed form to
Center for Research in Scientific Computation
North Carolina State University, Box 8205
Raleigh, NC 27695-8205
voice: (919) 515-5289 fax: (919) 515-1636

Student Papers:
Sessions of 20 minute presentations of student papers will be held, and
cash prizes will be given for the best student papers. Students who desire
to contribute a paper to one of these sessions should follow the directions
for submitting an abstract above, with a clear indication that this is a
student paper, and also send the abstract to Hien Tran at,
the student paper coordinator.

Details on travel and hotel information can be obtained on the web at
Please do look at this web page as you plan your travel.


From: Jack Dongarra <>
Date: Sat, 25 Jan 1997 09:47:40 -0500
Subject: BLAS Technical Forum

BLAS TECHNICAL FORUM, February 27-28, 1997, Dallas, TX

We are planning a BLAS Technical Forum meeting on February 27-28.
The meeting will be hosted by Hsin-Ying Lin of HP/Convex and the
meeting will be held at the Clarion Hotel in Dallas, TX (a couple
of miles from HP):

Clarion Hotel
1981 North Central Expressway
Richardson, TX 75080
(800) 285-3434

The Forum has been established to consider expanding the Basic Linear
Algebra Subprograms (BLAS) in a number of directions in the light of
modern software, language, and hardware developments. The first meeting
of the Forum was held in Nashville on February 19-20, 1996 and the
previous meeting was in Eagan, MN on November 7-8, 1996.

Working groups have been established to consider the overall
functionality, possible extensions, and a lightweight interface
for the BLAS, as well as the short term goals of the forum. Other
subgroups have also been established, either to advise the current
working groups or as placeholders for future working groups on parallel
processing issues, sparse operations, and language binding issues.

We strongly urge and encourage attendance at the meeting
so that we can make tangible progress towards much needed standards.
Wide input is needed to help ensure that emerging proposals are useful
and acceptable to the community.

It is appreciated that it is not easy for everyone to attend the
meetings of the Forum, but we would nevertheless welcome your input
since we wish the discussion to be as open as possible, and the results
to reflect consensus from the community at large.

Please send us items you would like to see on the agenda
or that you would like to discuss.

We will plan to start the meeting with lunch at 12:00 pm on Thursday,
February 27th and end by mid-afternoon on Friday, February 28th. Lunch is
provided on site both days.

Jack Dongarra, Sven Hammarling, and Hsin-Ying Lin


From: Graham de Vahl Davis <g.devahldavis@unsw.EDU.AU>
Date: Sun, 26 Jan 1997 08:19:08 +1000 (EET)
Subject: Travel Grants for ICHMT Symposium in Turkey


We are pleased to advise that the National Science Foundation has given
funds to permit a small number of travel grants to be made to
participants in the ICHMT symposium CHT-97: Advances in Computational
Heat Transfer, Cesme, Turkey, May 26-30, 1997. Full information about
the Symposium is available at the web site

The grants, up to a maximum of $1,000 per person, may be made to
applicants who satisfy the following criteria:

- They are authors or co-authors of a paper which has been accepted for
presentation at CHT-97;

- They are junior faculty members, early in their research careers, or,
in special cases, are PhD students nearing completion, who in either
case do not have access to travel funds;

- They are US citizens or are working in the US on a Green Card.

To enable potential recipients who may not already have done so to submit
abstracts to CHT-97, the closing date for such persons has been extended
to 28 February, 1997.

Submission of Abstracts and Papers

Papers will be selected for presentation on the basis of a 1000 word
(2-3 page) extended abstract. They should not have been previously
published. A bound volume of abstracts will be provided to participants
at the meeting. Review copies of the full papers will be due on the
opening day of the Symposium. Subject to review, all presented papers
will be published in the Proceedings by Begell House Inc.

Abstracts may be submitted by fax or email to Professor de Vahl Davis.

Applications for Travel Support

Applications for travel support should be sent to Professor Pepper. They
should contain a brief CV and be accompanied by a letter of support from
the Department Chair or Faculty Advisor as appropriate. The closing
date for applications is 28 February, 1997.

Professor Darrell Pepper Professor Graham de Vahl Davis
Dept. of Mechanical Engineering School of Mech. & Manuf. Eng.
University of Nevada, Las Vegas University of New South Wales
Las Vegas, NV 89154-4027 Sydney, NSW, Australia 2052
Tel: +1 702 895 1056 Tel: +61 2 9385 4099
Fax: +1 702 895 3936 Fax: +61 2 9663 1222
pepperu @ g.devahldavis @


From: John Coleman <>
Date: Thu, 23 Jan 1997 13:13:52 +0000 (GMT)
Subject: Lectureships at the University of Durham

Department of Mathematical Sciences
Temporary Lectureships in Mathematical Sciences

Applications are invited for two or more two-year Temporary Lectureships in
Mathematical Sciences, to be held from 1st October 1997 or as soon as possible
after that date. The Department of Mathematical Sciences has active research
groups in Pure Mathematics, Mathematical Physics, Numerical Analysis and
Statistics, and is committed to excellence in both research and teaching. Pure
Mathematics and Applied Mathematics (Mathematical Physics and Numerical
Analysis) were each graded 5 in the recent Research Assessment Exercise.
It is expected that the appointments will be made in the areas of Pure and
Applied Mathematics, with at least one in each area. Salaries are likely to
be on the Lecturer A scale ( 15,154 - 19,848 pounds p.a.).

Further particulars may be obtained from the Director of Personnel, University
of Durham, Old Shire Hall, Durham DH1 3HP, to whom applications (three copies,
including curriculum vitae and the names of three referees) should be sent no

Prospective candidates may contact the current Chairman,
Professor E. Corrigan (01913742372) or one of Dr.J.P.Coleman (01913742383),
Professor A.J. Scholl (01913742355), for further information.

Information about the Department may be found on our www page

www - http: //

John P. Coleman, Telephone:
Dept. of Mathematical Sciences, (+44) 0191 374 2383 (direct line)
University of Durham, (+44) 0191 374 2349 (department)
South Road, Fax: (+44) 0191 374 7388
Durham DH1 3LE


From: Robert McLachlan <>
Date: Fri, 24 Jan 1997 17:24:20 +1200
Subject: Postdoctoral Position at Massey University

Mathematics Department, Massey University, Palmerston North, New Zealand


"Unconventional methods and structures in numerical differential equations"

The project is to develop and explore existing and new methods for systems
with special properties such as symmetries, integrals, or preservation of
symplectic or volume structures, methods which offer improved long-time
performance and which shed light on the foundations of numerical analysis.


The project is funded by a research grant from the Marden Fund of New Zealand.
The appointment is to commence as soon as possible and will be offered for
a term of up to three years. To apply you should have completed, or expect
to soon complete, a Ph.D. in mathematics or a related discipline, and have
a good record of independent publication in your field. A background in
numerical differential equations, dynamical systems, differential geometry
or complexity theory would be desirable: the project can flex to suit your

For further information and application details, please see

-- Robert McLachlan


From: Dorothy Bollman <bollman@RUMMAT1.UPR.CLU.EDU>
Date: Sat, 25 Jan 1997 12:29:19 -0500 (EST)
Subject: Faculty Positions at the University of Puerto Rico


The Mathematics Department of the University of Puerto Rico at Mayaguez
anticipates two open temporary (or possibly tenure-track) positions
for the academic year 1997-98. One is for an applied/computational
statistian. The other is for a computational mathematician with some
background in computer science, preferably computer architecture.
Ph.D. prefered. Knowledge of Spanish is a plus, although not required.

Interested persons may send a CV and have three letters of reference sent to:

Dorothy Bollman, Chair
Department of Mathematics
University of Puerto Rico
Mayaguez, PR 00681-5000


From: Bengt Aspvall <>
Date: Sat, 25 Jan 97 20:55:07 +0100
Subject: Postdoctoral Position at University of Bergen

Postdoctoral Position at University of Bergen, Norway.

The Norwegian Research Council has awarded a four-year grant for
the project "Analysis and Implementation of Parallel Algorithms
for Scientific Computing." The program will, among other activities,
have a sequence of Postdoctoral positions.

We invite applications for a one-year Postdoctoral appointment
effectively immediately. For more information, please, see

or contact one of the principal investigators,,, and,
or write to

Strategic Project in Scientific Computing
Parallab, University of Bergen
N-5020 Bergen, Norway
Phone: +47 - 55 58 41 70, Fax: +47 - 55 58 41 99


From: Ake Bjorck <>
Date: Wed, 22 Jan 1997 10:06:26 +0100 (MET)
Subject: Contents, BIT

CONTENTS BIT Volume 37, No. (March 1997)
ISSN 0006-3835

On the discretization of differential and Volterra integral
equations with variable delay
H. Brunner, pp. 1--12

Linear M-estimation with bounded variables
O. Edlund, pp. 13--23

Time-stepping and preserving orthonormality
D. J. Higham, pp. 24--36

Dissipativity of Runge-Kutta methods in Hilbert spaces
A. T. Hill, pp. 37--42

Rooted tree analysis of the order conditions of ROW-type
scheme for stochastic differential equations
Y. Komori, T. Mitsui, and H. Sugiura, pp. 43--66

Relative perturbation bounds for the unitary polar factor
R.-C. Li, pp. 67--75

Algorithms for spline wavelet packets on an interval
E. Quak and N. Weyrich, pp. 76--95

Computing projections with LSQR
M. A. Saunders, pp. 96--104

Constrained approximation by splines with free knots
T. Sch\"utze and H. Schwetlick, pp. 105--137

A data modeling abstraction for describing triangular mesh
R. B. Simpson, pp. 138--163

Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations
E. Sterner, pp. 164--178

On optimal backward perturbation bounds for the linear least
squares problem
J.-G. Sun, pp. 179--188

Identies for trigonometric B-splines with an application
to curve design
G. Walz, pp. 189--201

Computing the optimal commuting matrix pairs
H. Zha and Z. Zhang, pp. 202--220


On implicit Runge-Kutta methods with high stage order
C. Bendtsen, pp. 221--226

On a conjecture of D. B. Hunter
H. Brass and K. Petras, pp. 227--231

A de Casteljau algorithm for generalized Bernstein polynomials
G. M. Phillips, pp. 232--236

Contributions in LaTeX are preferred. Information for subscription and style
files are available from the Editor or from the WWW server for BIT at:


From: SIAM <>
Date: Wed, 22 Jan 97 09:48:16 EST
Subject: Contents, SIAM Scientific Computing

SIAM Journal on Scientific Computing
MARCH 1997, Volume 18, Number 2

Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I
Barna L. Bihari and Ami Harten

A Spectral Element Technique with a Local Spectral Basis
Kelly Black

A Galerkin Method for Linear PDE Systems in Circular Geometries with Structural
Acoustic Applications
Ralph C. Smith

A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
June-Yub Lee and Leslie Greengard

Revenge of the Semicoarsening Frequency Decomposition Multigrid Method
J. E. Dendy, Jr.

Multilevel Solution of Cell Vertex Cauchy-Riemann Equations
A. Borzi, K.W. Morton, E. Suli, and M. Vanmaele

t-Extrapolation - Theoretical Foundation, Numerical Experiment, and Application
to Navier-Stokes Equations
Klaus Bernert

Hierarchical Basis Preconditioners in Three Dimensions
Maria Elizabeth G. Ong

Preconditioning of Block Toeplitz Matrices by Sine Transforms
Fabio Di Benedetto

CIMGS: An Incomplete Orthogonal Factorization Preconditioner
Xiaoge Wang, Kyle A. Gallivan, and Randall Bramley

GPBi-CG: Generalized Product-Type Methods Based on Bi-CG for Solving
Nonsymmetric Linear Systems
Shao-Liang Zhang

The Accumulation of Rounding Errors and Port Validation for Global Atmospheric
James M. Rosinski and David L. Williamson

Computation of Pseudospectra by Continuation
S. H. Lui

Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for
Nonlinear Systems
R. Baker Kearfott

Equidistribution on the Sphere
Jianjun Cui and Willi Freeden

Timely Communications

Diagonal Edge Preconditioners in p-Version and Spectral Element Methods
Mario A. Casarin

Efficient Algorithms for Solving a Fourth-Order Equation with the
Spectral-Galerkin Method
Petter E. Bjorstad and Bjorn Peter Tjostheim


End of NA Digest