NA News Digest Sunday, December 23, 1990 Volume 90 : Issue 45 Today's Editor: Cleve Moler

Today's Topics:


Date: Mon, 17 Dec 90 14:48:11 ITA
Subject: Biharmonic Equations with Periodic Boundary Conditions

Has anyone worked with
- biharmonic equations with PERIODIC boundary conditions? -

I should like to know in which REAL problems these equations have
been met and to see, if it is possible, an example of them.

Many thanks in advance for the help.
Valeria Frontini

E-mail address : AFT0 at ICINECA (EARN/BITnet)
: na.vfrontini at (NAnet)
: frontini at (Internet)
Post-mail address: Valeria Frontini
via Magnagnelli, 6/3
I-40033 Casalecchio di Reno
Phone : + 39 51 598411
Fax : + 39 51 598472


From: Christian Lantuejoul <>
Date: Mon, 10 Dec 90 11:01:47 GMT
Subject: Large Numerical Integration

I'm interested in solving the following problem:

Let A be a positive definite square matrix of order n. Compute
the numerical integration of

exp^{- x' A x}

where x' is the transposed of vector x, and x ranges over the
product domain [a_1,b_1] x ...x [a_n, b_n].

The crux is that the value of n can be as large as 100.

Thanks in advance,

Christian Lantuejoul (


From: Annie Cuyt <cuyt@cu.UIA.AC.BE>
Date: Tue, 11 Dec 90 07:47:47 EST
Subject: Multivariate Polynomial Interpolation

Who has information concerning the following multivariate problem?

In the book of J. Walsh, "Interpolation and Approximation", on page 61
a theorem (nr. 6) is given stating the uniform convergence of the Newton
interpolating series for an asymptotic sequence of interpolation points
and in the interior of a lemniscate. Does anyone know of an analogous
result in the multivariate case. I'm thinking of poly-lemniscates, maybe
grids of interpolation points built from asymptotic coordinate sequences
in each variable separately, ...

Please let me know any basic and/or advanced results with the exact
references to the literature. Many thanks in advance.

Annie Cuyt.
Dept. Mathematics & Computer Science Tel. +32 3 8202407
University of Antwerp (UIA) Telex 33646 UIA B
Universiteitsplein 1 Fax. +32 3 8202244
B-2610 Wilrijk-Antwerp e-mail:


From: John Butcher <>
Date: Wed, 19 Dec 90 17:44:51 NZD
Subject: Conference in New Zeland

International Conference on Scientific Computation and
Differential Equations

Auckland, New Zealand

Monday 3rd - Friday 7th, January,1993

Preliminary Announcement


The purpose of this conference is multifarious. First it is
intended to be a continuation of the successful conferences
held on the numerical solution of differential equations in
Albuquerque, Toronto, London and Helsinki in 1986, 1988,
1989, and 1990, respectively. Secondly it is intended as a
celebration of Professor John Butcher's sixtieth birthday and
his outstanding contributions in the area of numerical
methods for the solution of ordinary differential equations
of initial value type. For these reasons the main thrust of
the conference is in the area of differential equations.
However, the third purpose of this conference is to bring
together applied mathematicians in New Zealand and Australia
who have a computational interest in the subject. Thus
talks on any area of scientific computing are most welcome.


The major theme of this conference is the ubiquitousness of
the differential equation in Applied Mathematics and will
focus in part on both modelling and computational aspects in
this respect. Topics covered will include numerical methods
for the solution of initial value and boundary value problems
with or without algebraic constraints; delay differential
equations, Volterra integral equations, applications to time-
dependent partial differential equations and practical

As well as these, we invite contributions in other areas of
scientific computing, especially those which impinge either
directly or indirectly on the field of differential
equations. Examples of this include numerical quadrature,
linear and nonlinear equations, extrapolation processes and
simulation techniques. We particularly welcome talks which
consider algorithmic developments in a parallel environment.

Organising Committee, with e-mail addresses

Dr Kevin Burrage (Director)
Dr Horst Gerlach (Secretary)
Dr Robert Chan
Dr Colin Fox

Address for correspondence

Department of Mathematics and Statistics
University of Auckland
New Zealand

It will be most helpful for our planning if we know as soon
as possible who has an interest in taking part in this
meeting. Consequently, notices of interest or intent to
participate should be sent to Horst Gerlach either by
electronic mail or airmail. Even at this early stage, we
wish to know who is likely to be presenting a lecture to the
conference and we ask you to let Horst also know what your
likely intentions are in this respect. Horst will be glad to
answer questions not only about the conference but also about
tourist possibilities in New Zealand.

Copies of this announcement are being made available through
na-net and by traditional mail to a number of additional
people. Please copy this announcement and pass it on to
people we may have overlooked. Even if you have already told
us of your interest in taking part in the meeting, please
confirm your continued interest to Horst Gerlach.

Additional information can be attained from the Director.
However please note that, from 1st March 1991, his address
will be

Professor Kevin Burrage
Department of Mathematics
University of Queensland
St Lucia, Brisbane


From: Terje O. Espelid <>
Date: Fri, 21 Dec 90 14:12:21 +0100
Subject: NATO Workshop on Numerical Integration

NATO Advanced Research Workshop

Numerical Integration
Recent Developments,
Software and Applications.

June 17-21, 1991
University of Bergen
Bergen, Norway

An Advanced Research Workshop on numerical integration, sponsored by
NATO, will be held at University of Bergen, Bergen, Norway, June 17-21,
1991. The meeting will emphasize recent developments in theory
and software, and will include talks on applications. Among those
who have already agreed to participate are: J. N. Lyness, P. Rabinowitz,
W. Gautschi, P. Keast, A. Genz, R. Piessens, I. Sloan, G. Hammerlin,
E. de Donckers- Kapenga, R. Cools, J. Berntsen. Attendance will be
limited to about 40 participants. Limited funding is available for travel.
For further information, contact

T. O. Espelid
Department of Informatics
University of Bergen
Thormohlensgate 55
5008 Bergen, Norway



Date: Mon, 17 Dec 90 14:38:03 CST
Subject: Position at Iowa State

Numerical Analysis Position at Iowa State University
Senior or entry level

Iowa State University is searching for a senior level numerical
analyst to fill a position beginning fall 1991. We have recently expanded
the search to include lower level (tenure track) candidates. At either
level, the successful candidate will have ample support and opportunity
to develop an important research program.

The candidate should be interested in an area of application of
numerical analysis, preferably one present at Iowa State in the
physical sciences or engineering.

If you are a good candidate or know of a good candidate, please
notify me via regular mail or email at, or inform
the candidate directly if you think he or she would apply without further
prompting. Applications should be sent to Dr. Howard Levine, Chair,
Department of Mathematics, Iowa State University, Ames, Iowa 50011.
The screening process will begin on January 21, but applications will
be accepted until the position is filled.

James L. Cornette
Department of Mathematics
Iowa State University
Ames, Iowa 50011


From: Alan Craig <>
Date: Tue, 18 Dec 90 15:09:54 GMT
Subject: Position Available at Durham

Lectureship in Mathematical Sciences

Applications are invited for a Lectureship in Mathematical Sciences to be
filled from 1st October 1991, or as soon as possible after that date.
Candidates from any area of the Mathematical Sciences, including Statistics,
are encouraged to apply. The department is committed to excellence in both
research and teaching, and has active research groups in Mathematical
Physics, Numerical Analysis, Pure Mathematics and Statistics. The salary
is likely to be initially on the Lecturer A scale (12 086 - 16 755 sterling).

Applications should be sent to

Personnel Officer
University of Durham
Old Shire Hall
Durham DH1 3HP

not later than Wednesday, 13th February 1991, quoting reference 587,
from whom further particulars may be obtained.

Prospective candidates may contact the current Chairman, Dr. M.A.Armstrong
(091 372 2352) or any one of Dr. J.P.Coleman (Numerical Analysis, 091 374 2383),
Professor M.Goldstein (Statistics, 091 374 2365), Professor A.J.Scholl
(Pure Mathematics, 091 374 2355), Professor E.J.Squires (Applied Mathematics,
091 374 2361) for further information.

Alternatively, reply by e-mail to

and your query will be dealt with.


From: Biswa Datta <>
Date: Wed, 19 Dec 90 15:27:59 CST

First Announcement
Second NIU Conference

The Second NIU Conference on Linear Algebra, Numerical Linear Algebra
and Applications will be held at Northern Illinois University,
DeKalb, Illinois, May 3 - 5, 1991.

The purpose of the conference is to bring together researchers in linear
algebra, numerical linear algebra and various application areas such as
control and systems theory and signal processing, for an effective
exchange of ideas and discussion of recent developments and future
directions of research.

The conference has been sponsored by International Linear Algebra Society and
Northern Illinois University's Department of Mathematical Sciences, the
Graduate school and College of Liberal Arts and Sciences.

All areas of theoretical, numerical and applied linear algebra will be
addressed by the conference. The journal "Linear Algebra and Applications"
will publish a special issue on the conference with Professors Biswa Datta
and Robert Plemmons as special editors. Papers should be submitted to one
of the two special editors by July 31, 1991. They will be refereed in the
normal way.

Besides invited lectures, there will be several sessions on contributed

Inquiries about the conference and the titles and abstracts for
contributed presentations should be addressed to:

Biswa Nath Datta
Dept. of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115

Tel: (815) 753-6759
E-Mail: or
Fax: (815) 753-1824

Deadline for receiving contributed abstracts is February 15, 1991.


From: R. Chella <>
Date: 22 Dec 90 07:56:20 GMT
Subject: Research Position at Florida State

I am looking for a postdoctoral researcher or Ph.D. graduate student
with experience in finite elements and/or boundary element methods to
work on a project on the thermomechanical characterization of composites
If you are interested, please send email to or
regular mail to :
R. Chella
Florida State University Computing Center
P.O. Box 2175
Tallahassee, Florida 32316-2175
I would prefer someone who could start asap.


From: NA Net and Jerzy Wasniewski
Date: Sun Dec 23 16:59:31 PST 1990
Subject: Season's Greetings

+ +
A Merry Christmas and +O+ =============
+ + | . | . |
a Happy New Year +* O+ | . | . |
+ O + | . | . |
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+ @ * + |----+----|
+ @ O + | .| .. |
+ * O + | . | . |
+ 0X O #+ | . | . |
+ O *#* + =============
+O 0 * @ +
+O * * 0 & +
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|#-#-| ------- |#-#-#|
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End of NA News Digest