NA Digest Wednesday, August 5, 1998 Volume 98 : Issue 28

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

Submissions for NA Digest:

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Information about NA-NET:

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URL for the World Wide Web:

From: Stephen Vavasis <vavasis@CS.Cornell.EDU>
Date: Fri, 31 Jul 1998 17:47:12 -0400
Subject: Quadrature over Tetrahedra

Two weeks ago I posted a message to NA Digest asking about quadrature
over tetrahedra. I received many helpful responses. I also received a
number of messages asking me to post a summary. I have written a
summary, but since email is still arriving, I will probably want to
update my summary a few more times. Therefore, rather than including it
here, I have put the summary in my website at:

Thanks to the many people who responded.

Steve Vavasis (


From: Bernd Simeon <>
Date: Tue, 28 Jul 1998 09:57:41 -0400 (EDT)
Subject: Question on Hybrid Methods in Elastodynamics

Question on mixed/hybrid methods in elastodynamics

I am looking for extensions of mixed or hybrid finite
element methods to the dynamic case, in particular in
dynamic elasticity. Does anybody know of papers or
work done in this direction?

I am working in the field of mechanical multibody systems
(also known as constrained mechanical systems).
There, a hybrid formulation seems very natural for
the equations of motion if both rigid and elastic bodies
are part of the technical system.

Thanks a lot,

Bernd Simeon


From: Ville Savolainen <>
Date: Fri, 31 Jul 1998 11:46:30 +0300 (EET DST)
Subject: Cray T3E User's Guide available in Web

Center for Scientific Computing (CSC), the Finnish center for scientific
computing and data communications, has published the second
edition of a user's guide to the Cray T3E.

The guide is intended primarily to the users of the T3E at CSC, but most
of the material is useful for any Cray T3E user.

The user's guide (124 pages) is available in English in Adobe Acrobat PDF
format at the WWW address

The emphasis of the guide is on scientific software development in the T3E
environment, covering subroutine libraries, code optimization,
interprocess communication and programming tools. The guide contains also
an overview of the T3E hardware.

Juha Haataja and Ville Savolainen, CSC, Finland


From: Stefan Turek <>
Date: Fri, 31 Jul 1998 14:35:36 +0200
Subject: FEATFLOW Software and Virtual Album of Fluid Motion

With beginning of August, we announce the availability of the new Version 1.1
of our incompressible flow solver package FEATFLOW 1.1 and of the 'Virtual
Album of Fluid Motion'(v1.1).

As in Version 1.0, the FEATFLOW package contains the complete sources for our
fully coupled (CC2D/CC3D) and projection-like (PP2D/PP3D) FEM-solvers for the
stationary and nonstationary incompressible Navier-Stokes equations.
The package also includes the full documentation (POSTSCRIPT and online as HTML)
and Tools for grid generation/modification (new: an english manual for OMEGA2D)
and postprocessing (for AVS 5).

The complete package and the 'Virtual Album' can be downloaded from:

Stefan Turek + the FEAST Group
Institute for Applied Mathematics
University of Heidelberg
INF 294
D-69120 Heidelberg

Phone: +49-6221-54-5714
Fax : +49-6221-54-5634



From: Garry Tee <>
Date: Tue, 28 Jul 1998 16:42:30 +1200
Subject: Comment on Sir James Lighthill


Sir James Lighthill F.R.S., founder President of the Institute for
Mathematics and its Applications, was one of the scientists who were
interviewed by Louis Wolpert, for his BBC Radio series "Passionate Minds",
published by OUP in 1997. Here is a passage from that interview, on pages

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Wolpert: `Now most of your work has been in fluids. Is there
something about fluids that appeals to you?'

Aha, yes, I think so! I have a sort of general pleasurable feel
about fluids and, of course, I'm very interested in flight, and although I
worked entirely on aeronautical flight in those days, I subsequently did
very comprehensive studies of animal flight - birds, bats and insects -
during my later period in Cambridge, working with the zoology department
there. And my hobby is swimming; I have a great deal of interest in the
ocean - ocean waves, ocean currents, ocean tides - and so I enjoy observing
all that when I swim. And then I have a fellow feeling for the swimming
animals, and I've written papers about almost all varieties of swimming
fishes and invertebrates, and quite a lot of work on micro-organism

Wolpert: `Part of your passion for fluids is swimming?'

Yes, indeed.

Wolpert: `Do you swim a lot?'

Yes, I do a three-mile swim every weekend just to keep fit.

Wolpert: `And in the holidays?'

In the holidays I always do each year an adventure swim, which I
do, partly because it's good for all of us to have an adventure every so
often, but partly because when I was at Farnborough I was working with test
pilots, and I was conscious that they were actually depending on the
scientific work that was done; they staked their lives on the correctness
of the science. I've done a lot of work on ocean waves and tides and
currents, and I feel I understand them well enough to be quite prepared to
swim in them, because with my theoretical knowledge, supplemented by an
immense amount of experience in swimming in these conditions, I can swim
safely; and have an exciting adventure in the process. So I do this,
usually choosing swims where there are quite difficult currents to deal
with. Sometimes one swims around islands, sometimes one swims between one
island and another.

Wolpert: `Like what?'

Well one of my famous swims is the one around Sark which I've done
five times, and one of them was during a south-westerly gale which was the
one that actually caused the Fastnet disaster. So one needed quite a lot of
nerve and stamina to complete the swim on that day, but it really was
rather an exciting experience. But I've swum between two of the Azores
which have quite a strong current between them. I've swum around an
actively erupting volcano, namely Stromboli, and watched eleven separate
eruptions from the side where you can see the volcano, where incidentally,
the water is the temperature of a hot bath because that's the side the lava
comes into the sea. And I've swum around Lundy, and my most recent swim was
round Ramsay island where there are exceptionally strong currents off the
southwest coast of Pembrokeshire.

Wolpert: `Do you actually use your knowledge of waves and tides in
order to do it?'

Oh, enormously, yes. I mean during this Fastnet swim I was
constantly having to add up vectorially my swimming velocity and the
current velocity, and the wave drift due to these very powerful waves. It
was rather interesting. I was really having to swim at right angles to the
direction I wanted to go in, which you often have to do, of course.

Wolpert: `I don't think many of us [laughter] would recognize that.'

And, of course, you meet seals and all sorts of interesting animals
who have a fellow feeling with swimmers when you do these swims.

Wolpert: `It's very nice applied mathematics I must say. [l\Laughter].'

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Sark is the smallest of the Channel Islands. From my own experience of
swimming off Sark (I never attempted to swim around that island), I was
aware that the currents and rocks make quite challenging conditions for
And on July 28 I was shocked to learn from Gene Golub that Sir
James Lighthill died on July 17 in a swimming accident near the Isle of

Garry J. Tee, FIMA,
Department of Mathematics, University of Auckland, New Zealand.


From: Trini Flores <>
Date: Tue, 28 Jul 98 09:45:14 -0500
Subject: SIAM Conference Deadlines

Ninth SIAM Conference on Parallel Processing for Scientific Computing
March 22-24, 1999
Adam's Mark San Antonio-Riverwalk Hotel
San Antonio, Texas

AUGUST 3, 1998: Deadline for submission of minisymposium proposals.


Fifth SIAM Conference on Mathematical and Computational Issues in the
March 24-27, 1999
Adam's Mark San Antonio-Riverwalk Hotel
San Antonio, Texas

SEPTEMBER 1, 1998: Deadline for submission of minisymposium

To know more about these conferences, visit:

or contact SIAM by:
phone: 215-382-9800
fax: 215-386-7999


From: Mike Botchev <>
Date: Mon, 03 Aug 1998 12:27:13 +0200
Subject: Conference on Continuum Mechanics

Let me bring you attention to the forthcoming

4th International Conference
"Modern Problems of Continuum Mechanics"

October, 27-29, 1998
Rostov-on-Don, Russia

organized by
Institute of Applied Mathematics and Mechanics and
Mechanics and Mathematics Faculty of
Rostov State University

One of the topics of the conference is Computational Mechanics.
The deadline for submission of 100-word abstract is October 1.

Rostov-on-Don is the largest city of the south of Russia, it
is <= 2 hours of flight from Moscow. There are also direct flights
from Dusseldorf, Frankfurt and Koln performed by DonAvia Airlines.

More information and registration form can be found at


With best regards,
Mike Botchev


From: Heiner Grill <>
Date: Wed, 29 Jul 1998 11:34:04 +0200 (MSZ)
Subject: Positions at Ruhr-University Bochum, Germany

Graduiertenkolleg "Computational Structural Dynamics"
Ruhr-University Bochum, Germany

Three positions are available in the Graduiertenkolleg
"Computational Structural Dynamics" at the Departments of Civil
Engineering, Mechanical Engineering and Mathematics of the
Ruhr-University Bochum:

a) 2 Ph.D. fellowships
( Oct. 1998 - Dec. 2000 )
2690 DM/month for Dipl.-Ing/Dipl.-Inform. or equivalent,
1445 DM/month otherwise

b) 1 Postdoc position
( Sept. 1998 - Dec. 1999 )
2790 DM/month

NOTE: The positions have to be accepted not later than December 1st, 1998.

Research areas of the Graduiertenkolleg include:

- numerical mathematics
- continuum mechanics
- computational methods in structural dynamics
- theory of dynamic systems
- wave propagation

Further information on the Graduiertenkolleg is available at

Applicants with a degree of high qualification ( diploma/masters
degree for a), doctoral/Ph.D. degree for b) ) in one of the above
mentioned research areas are asked to send their curriculum vitae
with passport photo, copies of certificates and an indication of their
research interest to the following address:

Prof. Dr. G. Schmid, Ph.D.
Theorie der Tragwerke und Simulationstechnik
Ruhr-Universitaet Bochum
Universitaetsstr. 150
44780 Bochum, Germany
Tel.: +49 (0)234 - 700 6141
Fax: +49 (0)234 - 7094 463


From: Jean-Charles Gilbert <>
Date: Wed, 29 Jul 1998 15:39:22 +0200 (MET DST)
Subject: Postdoctoral Position at INRIA, France

Postdoctoral Position in Optimization at INRIA (France)

We invite applications for a postdoctoral position at INRIA in the OPINEL
project. This project involves researchers from INRIA-Rocquencourt,
INRIA-Lorraine, the University of Limoges (France), the University of Toulouse
(France), and the University of Geneva (Switzerland). It aims at developing
nonlinear interior point algorithms in view of its application to a variety of
large scale practical problems, such as parameter estimation, optimal control,
shape optimization, etc. A detailed description (in French) of the project can
be obtained from the web page
The successful candidate will contribute substantially in the development of
the theoretical aspects and the implementation of a nonlinear interior point
algorithm for solving large scale optimal control problems.

The appointment is for a period between 6 months and 1 year. The position is
available immediately. Applications will be accepted until the position is

Candidates should have a Ph.D. in differentiable optimization, numerical
analysis, or applied mathematics. A strong background in computational
optimization is required, and familiarity with software tool development for
scientific computing is highly desirable. Good communication skills and a
willingness to work in a collaborative environment are important. Knowledge of
French is not explicitly required; a good command of English is sufficient.

INRIA is located in the western suburbs of Paris (near Versailles, at about 10
km from Paris); see "" for more information. Our research
group has a long-standing interest in the analysis and development of
optimization algorithms for engineering science applications.

Candidacy should be addressed to J. Charles Gilbert, INRIA-Rocquencourt, BP 105,
78153 Le Chesnay Cedex, France. Applicants should send their CV, a list of
publications, an extended abstract of their Ph.D. Thesis (not longer than three
pages), and the names and addresses of two references. For electronic
submission of applications, please email to
Further inquiries can be obtained at the same addresses.


From: Francesc Arandiga Llaudes <>
Date: Fri, 31 Jul 1998 10:31:30 +0100 (WET DST)
Subject: Postdoctoral Position at UVEG-Valencia, Spain

Departament of Matematica Aplicada.
Universitat de Valencia.
Burjassot. Valencia (SPAIN)

Wavelets and Multiscale Methods in Numerical Analysis and Simulation.

The University of Valencia located in Burjassot-Valencia (SPAIN)
expects to offer a post-doctoral grant in the field of
Wavelets and Multiscale Methods in Numerical Analysis and Simulation
and related topics for the academic year 1998-99.
This position will be available from 1998-10-01 for 11 months.

Young scientists whose research interests
are in the area of partial differential equations,
numerical analysis and/or Scientific computation are
encouraged to apply.

The following topics:
Discretization of Non Linear Problems,
Fast Computation of Non Linear Terms, Applications to Conservation Laws,
Wavelets, Multiresolution Techniques,
and related areas of studies are among the interests of our group.

Candidates must be nationals of a European Community Member
State other than Spain or a State associated with the TMR Program and
must not be over 35 years of age.
People who are interested should submit their applications
(Curriculum Vitae, a list of published works, research
interest and two letters of recommendation) before 1998-09-15.
Correspondence should be sent to:

TMR Postdoc Programme - Wavelets in numerical simulation.
Attn: Rosa Donat
Departament of Matematica Aplicada.
Universitat de Valencia.
C/ Dr. Moliner 50, 46100 Burjassot.
Valencia (SPAIN)
tel 34-96 386 47 27,
fax 34 96 386 40 85,


From: (Francoise Chatelin)
Date: Fri, 31 Jul 1998 15:20:27 +0200 (MET DST)
Subject: Research Position at CERFACS, France

Position at CERFACS

Space missions using altimetry are a major component for the global
monitoring of the oceans. The French-American TOPEX/POSEIDON mission is
the current best example of such an approach. The NASA-CNES JASON
project will follow TOPEX after year 2000 and will have improved performance.
The objective is to know JASON's altitude with a precision of 1 cm rms
(the error level for TOPEX is currently around 3 cm using the DORIS and
Laser tracking systems). JASON will also use DORIS and Laser, as well as
a GPS receiver.
CNES is in charge of the precise orbit determination of JASON. It is thus
necessary to improve the processing of GPS measurements at CNES in order
to reach the required accuracy through a combination of GPS with the other
two systems. Correct use of GPS phase measurements is a keypoint for this

CERFACS has been charged by CNES to develop accurate algorithms to compute
the phase ambiguities associated with the GPS measurements. In this context
we are looking for a researcher at post-doc level with experience, interest,
and background (with publications) in scientific computing to participate
in the development of these algorithms. The position is already open and
should be filled as soon as possible.

The position is in the Qualitative Computing Group at CERFACS, whose main
research activities are
- study of the stability and the reliability of numerical methods,
specifically in the neighbourhood of singularities,
- design of robust codes for computing some eigenelements of very large
and nonnormal matrices (Arnoldi Tchebycheff method),
- influence of high nonnormality on reliability of numerical methods,
- software tools for assessing the quality (reliability, robustness) of
numerical methods.
This group is part of the Parallel Algorithms Project lead by Iain Duff.
For detailed information about CERFACS
URL address :
For more information about Toulouse, the city where CERFACS is located
URL address :

Technical questions should be adressed to Prof. Chaitin-Chatelin
( Applications should be sent to Mrs Campassens
according to the CERFACS recruitment procedure described at the
URL address :


From: Fran Moshiri <>
Date: Fri, 31 Jul 1998 14:57:27 -0600
Subject: Postdoctoral Position at Rice University

Postdoctoral Position at Rice University:

The Numerical Linear Algebra Project within the Center for
Research on Parallel Computation has a one year postdoctoral
position in software and algorithm development for large scale
discrete ill-posed problems. The applicant should have a Ph.D.
and be knowledgeable in the areas of parallel programming,
numerical software development, numerical linear algebra, and
Krylov subspace projection methods. In addition to a research
interest in this area, it is crucial that the applicant be a
good writer and speaker and have an interest in modern software
design and implementation. The position will be under the direction
of Professor Danny C. Sorensen and will be a research appointment
in the Department of Computational and Applied Mathematics at
Rice University in Houston, Texas.

Contact Danny C. Sorensen,, immediately if you
are interested in this one year position. Applications should be
received before 28 Aug 98 for full consideration. Please send
a vita and the names of three references.



From: Chantal <chantal@CERCA.UMontreal.CA>
Date: Mon, 3 Aug 1998 18:18:42 -0400
Subject: Postdoctoral Position at CERCA/Universite de Montreal

Montreal, Quebec, Canada

For more information:


The fellow will take part in a research program involving stellar evolution
and the simulation of turbulent particle transport in stars. In current
work, microscopic transport is calculated in detail in evolutionary stellar
models and particle turbulent transport is computed in detail in rotating
stars. The candidate is expected to have experience in stellar evolutionor
in the simulation of turbulence and have obtained his Ph.D. since January
1997. The annual stipend is CAN$35,000. In accordance with immigration
regulations, preference will be given to citizens or permanent residents
of Canada.

The deadline for receipt of applications is September 10, 1998.


From: Alan Li <>
Date: Tue, 4 Aug 1998 10:58:19 -0700 (PDT)
Subject: Research Position at MathSoft, Seattle


The person will be responsible for: (1) maintaining and developing
releases of the S+WAVELETS and MathCad Wavelets products -- guide the
implementation of state-of-the-art wavelet algorithms and be responsible
for software engineering aspects of the product, and (2) strengthening the
research program at MathSoft by defining new research directions and
developing new product ideas.

The ideal candidate will have: (1) expertise in various aspects of
state-of-the-art of wavelets (from theory to practical implementations),
(2) Ph.D. in Statistics, Mathematics, Electrical Engineering, or related
field and a minimum of two years of industry experience, (3) extensive
experience in C programming; additional experience with C++ or Java are
desirable, and (4) strong communication skills including the ability to
write technical proposals and reports, make technical presentations, and
work in a team.

The research group at MathSoft is a strong dynamic group and a variety of
projects are underway here ranging from commercial software development to
research in wavelets, image segmentation, image compression, target
detection, and query-by-content for applications in medical imaging,
document imaging, tactical imaging, and remote sensing.

Mail, fax, or e-mail your resume to:
Human Resources, Data Analysis Product Division, MathSoft, Inc.,
1700 Westlake Ave. N., Suite 500, Seattle, WA 98109
FAX: (206) 283-6310. e-mail:


From: Deidre Wunderlich <>
Date: Thu, 30 Jul 98 08:37:42 -0500
Subject: Contents, SIAM Review

SIAM Review
Volume 40, Number 3, SEPTEMBER 1998

Thin Films with High Surface Tension
T. G. Myers

On the Asymptotic and Numerical Solution of Linear Ordinary Differential
A. B. Olde Daalhuis and F. W. J. Olver

Well-Solvable Special Cases of the Traveling Salesman Problem: A Survey
Rainer E. Burkard, Vladimir G. Deineko, Rene van Dal, Jack A. A. van der
Veen, and Gerhard J. Woeginger

>From Potential Theory to Matrix Iterations in Six Steps
Tobin A. Driscoll, Kim-Chuan Toh, and Lloyd N. Trefethen

Collective Coordinates and Length-Scale Competition in Spatially
Inhomogeneous Soliton-Bearing Equations
Angel Sanchez and A. R. Bishop

A Similarity Approach to the Numerical Solution of Free Boundary Problems
Riccardo Fazio

Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on
Arnold Neumaier

A Model of Dieting
Ronald E. Mickens, Denise N. Brewley, and Matasha L. Russell

Note on the Optimal Intercept Time of Vessels to a Nonzero Range
Martin J. Gander

What Makes a Good Friend? The Mathematics of Rock Climbing
Matthew Bonney, Joshua Coaplen, and Erik Doeff

On Particular Solutions of Linear Difference Equations with Constant
Ramesh C. Gupta

Calculation of Weights in Finite Difference Formulas
Bengt Fornberg

The Global Positioning System and the Implicit Function Theorem
Gail Nord, David Jabon, and John Nord

Centrosymmetric Matrices
Alan L. Andrew

A Note on the Matrix Exponential
Eduardo Liz

The Power of a Matrix
M. Kwapisz

A Simple Proof of the Leverrier-Faddeev Characteristic Polynomial Algorithm
Shui-Hung Hou


CHAOS: An Introduction to Dynamical Systems (Kathleen T. Alligood, Tim D.
Sauer, and James A. Yorke), David Chillingworth

Introduction to Asymptotics: A Treatment Using Nonstandard Analysis (D. S.
Jones), Adri B. Olde Daalhuis

Numerical Linear Algebra (Lloyd N. Trefethen and David Bau, III), Ricardo
D. Fierro

The Mathematica Programmer II (Roman E. Maeder), Alfred Gray

Nonlinear Programming (Dimitri P. Bertsekas), W. W. Hager and O. L.

Elliptic Boundary Value Problems in Domains with Point Singularities (V. A.
Kozlov, V. G. Maz'ya, and J. Rossmann), R. Bruce Kellogg

Information and Randomness: An Algorithmic Perspective (Christian Calude),
Vladik Kreinovich

Mathematical Models in the Applied Sciences (A. C. Fowler), J. David Logan

Theory and Applications of Partial Functional Differential Equations
(Jianhong Wu), C. V. Pao

Computational Differential Equations (Kenneth
Eriksson, Don Estep, Peter Hansbo, and Claes Johnson), Todd E. Peterson

Discrete Hamiltonian Systems: Difference Equations, Continued Fractions,
and Riccati Equations (Calvin D. Ahlbrandt and Allan C. Peterson), Leiba

Nonlinear Dynamics: A Two Way Trip from Physics to Math (Hernan G. Solari,
Mario A. Natiello, and Gabriel B. Mindlin), Timothy Sauer

Handbook of Numerical Analysis. Volume V. Techniques of Scientific
Computing. (Part 2) (P. G. Ciarlet and J. L. Lions), Zhimin Zhang

Selected Collections

Later Editions



End of NA Digest