**Today's Topics:**

- Positions at University of Linz, Austria
- Jobs at Bristol
- Leslie Fox Prize 1988
- Constrained Approximation Problem
- Using Netlib
- AMS Reviews in Numerical Analysis

From: Heinz Engl <K310773%AEARN.BITNET@forsythe.stanford.edu>

Date: Tue, 29 Mar 88 15:33:59 EDT

Several positions as 'Universitaetsassistent' (roughly equivalent

to U.S. Assistant Prof., both temporary and tenure track) will be

available from July 1988 or some months later at the newly created

Chair for Industrial Mathematics at the Johannes-Kepler-Universitaet

in Linz, Austria.

Consideration will be given to applicants holding a Ph.D. (or at least

a diploma or master's degree) in any area of applied and computational

mathematics. Preference will be given to those with some experience

in solving industrial problems, since duties include (besides teaching

and research) work on research projects from industry. Some knowledge

of German is desirable, but not absolutely necessary. However, it

would be necessary to learn enough German for teaching as soon as

possible.

Yearly salary is around $US 20000 -- at current exchange rate.

This is not yet a formal advertisement, but a preliminary information.

Those interested should send relevant information (including e-mail

address, if applicable) as soon as possible to

Prof. Heinz W. Engl

Institut fuer Mathematik

Johannes-Kepler-Universitaet

A-4040 Linz, AUSTRIA

E-mail: K310773 at AEARN.BITNET or na.engl at na-net.stanford.edu

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

From: Andy Wathen <Wathen%aucc.ac.uk@NSS.Cs.Ucl.AC.UK>

Date: Wed, 30 Mar 88 14:36+0100

UNIVERSITY OF BRISTOL

TEMPORARY POSTS IN DEPT. OF MATHEMATICS

Applications are invited for:

(a) a temporary lectureship in NUMERICAL ANALYSIS

(b) a temporary lectureship in STATISTICS

both tenable for one year, and

(c) a two-year post of COMPUTER OFFICER to assist with software

and hardware management for courses and projects within the

department. This is an opportunity for a graduate to participate

in a wide range of computer-related activities involving PCs

and mainframes

The above posts are tenable from a mutually agreed date before October 1988

on a salary within the range UK pounds 8675-14500 depending on age,

qualifications and experience.

Further particulars can be obtained from the Registrar and Secretary,

University of Bristol, Senate House, Bristol BS8 1TH, England to whom

applications, containing a c.v. and names of three referees should be

sent, to be received by 16 May 1988, quoting ref JC1.

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

From: Iain Duff <duff@anl-mcs.ARPA>

Date: Wed, 30 Mar 88 12:48:36 cst

The high standard of the previous Leslie Fox Prize Competitions was

maintained this year in the presentations given by the finalists at a meeting

at Imperial College, London on Monday March 28th.

In a very hotly contested competition, the first prize was awarded to

Nick Higham of the University of Manchester for his presentation on Analysis

of the Cholesky decomposition of a semi-definite matrix.

The standard was so high that the Committee decided to present second prizes

to the other finalists, who were (in alphabetical order) ...

T Hagstom (SUNY, Stony Brook). Asymptotic boundary conditions for

computational studies of wave propagation.

P T Harker (Univ of Pennsylvania) Accelerating the convergence of the

diagonalization and projection algorithm for finite-dimensional variational

inequalities.

R H Jackson (Univ of Cambridge) An order of convergence for radial basis

functions.

T Tang (Univ Leeds) On the spline collocation methods for non-standard

Volterra Integro-Differential equations.

Congratulations are due to all candidates for providing a memorable and

stimulating occasion providing ample evidence of the continued health of

numerical analysis research amongst the younger ( < 31) members of our

community.

The next Fox Prize will be awarded in 1989, either in June or September.

An announcement and call for entries will appear shortly.

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

From: Ken Jackson <krj%csri.toronto.edu@relay.cs.net>

Date: Wed, 30 Mar 88 14:35:27 EST

Constrained Approximation Problem

An economist here posed the following question:

Given a set of interpolation points (x(i),y(i)), i=1,..,n, and two

values b1 and b2, does there exist a twice continuously differentiable

function y which interpolates the points (x(i),y(i)) and satisfies

|y'(x)| <= b1 and |y''(x)| <= b2?

An alternate form of the question is:

Given the interpolation points (x(i),y(i)), i=1,...,n, what are the

minimum values of b1 and b2 such that there does exist a function y

satisfying the problem above?

He's also interested in other generalizations of these problems.

Clearly, b1 has to be at least as large as the maximum magnitude of the

first divided difference of each pair of adjacent data points and b2

has to be at least as large as twice the magnitude of the second

divided difference of each adjacent triple of data points. If b1 or

b2 is smaller than this, then the problem has no solution. But, if b1

and b2 are equal to these bounds, then it is easy to construct examples

of problems that have no solution as well. So this simple first try

at a solution is not sufficient.

I would guess that problems of this sort are quite common in science

and engineering, but I have not seen any discussion of them in the

literature. Do you know a reference? Or do you know a good solution

technique for problems of this sort?

Ken Jackson, krj@csri.toronto.edu (csnet)

Department of Computer Science, uunet!csri.toronto.edu!krj (uucp)

University of Toronto, krj@csri.toronto.cdn (ean x.400)

Toronto, Canada M5S 1A4 krj%csri.toronto.edu@relay.cs.net (arpa)

(416) 978-7075 krj@csri.utoronto (bitnet)

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

From: Matt Crawford <matt@oddjob.uchicago.edu>

Date: 29 Mar 88 20:41:46 GMT

Given the writeup in this month's Unix Review, I think I had better

send this reminder and correction. To access the mathematical

software in the Argonne "netlib", write to netlib@anl-mcs.arpa only

if you are using the internet. (There is no underscore after

"netlib", although the Unix Review "Off the Shelf" column had one.)

If you are using UUCP, write to research!netlib instead.

Someone in uucp-land just asked for five complete libraries and the

requests had bad return addresses, so oddjob no longer forwards uucp

requests to anl-mcs.

Matt Crawford

University of Chicago

matt@oddjob.uchicago.edu

crawford@anl-mcs.arpa

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

From: Mary Medeiros <MFH@MATH.AMS.COM>

Date: Wed 30 Mar 88 9:46:41-EST

The American Mathematical Society has just published a five-volume set "Reviews

in Numerical Analysis, 1980-86." The books contain the complete reviews as

they appeared in Mathematical Reviews during 1980-86 of all of the over 17,600

reviews of articles, books, and conference proceedings in numerical analysis.

Author and key indexes appear in Volume 5. Prices: List $250, Individual AMS

members $150, MR Reviewers $125. Order code: REVNAN/86EM. To order, call

1-800-556-7774 in the continental U.S. or write to American Mathematical

Society, P.O. Box 6248, Providence, RI 02940. Visa and Master Card accepted.

Prepayment required.

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End of NA Digest

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