- Today's Editor:
- Cleve Moler
- The MathWorks, Inc.
- moler@mathworks.com

- History of Splines
- Quadrature Over Tetrahedra
- Hankel Transform
- Bernstein-Bezier Applet
- A Nonlinear Eigenproblem
- Change of Address for Armin Iske
- Change of address for Robert G. Owens
- Parallel Random Number Generator Library
- Householder Symposium
- Householder Prize
- Scottish Computational Mathematics Symposium
- Canadian Operational Research Society Conference
- SIAM Conference on Geometric Design
- Lecture Series on High Order Discretization Methods in CFD
- Copper Mountain Conference on Multigrid Methods
- Conference on Advances in Convex Analysis and Global Optimization
- Postdoctoral Positions at Coventry and Oxford
- Positions at Swiss Federal Institute of Technology, Lausanne
- Research Position at Eindhoven University of Technology
- Faculty Position at Brown University
- Postdoctoral Position at Duke University
- Positions at the University of Manchester
- Postdoctoral Positions at University of Wales, Aberystwyth
- Position at University of Newcastle upon Tyne
- Research Position at University Erlangen-Nuremberg
- Contents, IMA Journal of Numerical Analysis

**URL for the World Wide Web:**
http://www.netlib.org/na-net/na_home.html

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

From: James Epperson <epperson@s10.math.uah.edu>

Date: Thu, 9 Jul 1998 14:37:35 -0500 (CDT)

**Subject: History of Splines**

Two weeks ago I posted a query here about the connections between the

development of spline approximations and automotive body design, and received

over 30 responses, all of them very informative. Since several of them asked

me to pass along what I learned, I decided to write up a brief summary and

post it to the digest. Hence this note.

It is commonly accepted that the first mathematical reference to splines is

Schoenberg's paper [S], which is probably the first place that the word

"spline" is used in connection with smooth, piecewise polynomial

approximation. However, the ideas have their roots in the aircraft and

ship-building industries. In the forward to [BBB], Robin Forrest describes

"lofting," a technique used in the British aircraft industry during World War

Two to construct templates for airplanes by passing thin wooden planks

through points laid out on the floor of a large design loft. The planks

would be held in place at discrete points (called "ducks" by Forrest;

Schoenberg used "dogs" or "rats") and between these points would assume

shapes of minimum strain energy. According to Forrest, one possible impetus

for a mathematical model for this process was the potential loss of the

critical design components for an entire aircraft should the loft be hit by

an enemy bomb. This gave rise to "conic lofting," which used conic sections

to model the position of the curve between the ducks. Conic lofting was

replaced by what we would call splines in the early 1960's based on work by

J. C. Ferguson at Boeing and (somewhat later) by M.A. Sabin at British

Aircraft.

Interestingly, Forrest says that the word "spline" comes from an East Anglian

dialect.

The use of splines for modeling automobile bodies seems to have several

independent beginnings. Credit is claimed on behalf of de Casteljau at

Citroen, Bezier at Renault, and Birkhoff, Garabedian, and de Boor at General

Motors, all for work occuring in the very early 1960's or late 1950's. At

least one of de Casteljau's papers was published, but not widely, in 1959.

De Boor's work at GM resulted in a number of papers being published in the

early 60's, including some of the fundamental work on B-splines.

Work was also being done at Pratt & Whitney Aircraft, where two of the

authors of [ANW] (the first book-length treatment of splines) were employed,

and the David Taylor Model Basin, by Feodor Theilheimer. The work at GM is

detailed nicely in the article [B] and the retrospective [Y]. I was also

pointed to the article [BdB] by several people, but our library does not have

that volume, so I have not been able to see it for myself. Paul Davis

summarized some of this material in SIAM News in 1996; see [D].

Again, my thanks to all who sent me messages and suggestions.

References:

[ANW] Ahlberg, Nielson, and Walsh, The Theory of Splines and Their

Applications, 1967.

[B] Birkhoff, "Fluid dynamics, reactor computations, and surface

representation," in A History of Scientific Computation (Steve Nash,

editor), 1990.

[BBB] Bartels, Beatty, and Barsky, An Introduction to Splines for Use

in Computer Graphics and Geometric Modeling, 1987.

[BdB] Birkhoff and de Boor, "Piecewise polynomial interpolation and

approximation," Proc. General Motors Symposium of 1964, H. L. Garabedian,

ed., Elsevier, New York and Amsterdam, 1965, pp. 164-190.

[D] Davis, "B-splines and Geometric design," SIAM News, vol. 29, no. 5;

available at http://www.wpi.edu/~pwdavis/sinews/spline17.htm.

[S] Schoenberg, "Contributions to the problem of approximation of

equidistant data by analytic functions," Quart. Appl. Math., vol. 4,

pp. 45-99 and 112-141.

[Y] Young, "Garrett Birkhoff and applied mathematics," Notices of the AMS,

vol. 44, no. 11, pp. 1446-1449.

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

From: Stephen Vavasis <vavasis@CS.Cornell.EDU>

Date: Wed, 15 Jul 1998 16:48:46 -0400

**Subject: Quadrature Over Tetrahedra**

Colleagues here at Cornell who work on finite-element methods for

structural analysis asked me about high-order quadrature rules for

tetrahedra. The "classical" quadrature rule (e.g., A. Stroud and D.

Secrest, "Gaussian Quadrature Formulas", Prentice Hall, 1966) for the

tetrahedron is simply a product rule. For example, to extend the

k-point Gaussian quadrature formula to the tetrahedron, one uses k^3

quadrature points arranged in a distorted cube inside the tetrahedron

with appropriate polynomial weights. But this solution seems

inefficient because many quadrature points are clustered (apparently

needlessly) near one of the four vertices of the tetrahedron. So I'm

wondering whether more efficient rules have been developed for this

problem.

Thanks,

Steve Vavasis (vavasis@cs.cornell.edu)

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

From: Sheri Martinelli <martis@rpi.edu>

Date: Fri, 17 Jul 1998 09:39:38 -0400

**Subject: Hankel Transform**

We are students working on a project which requires us to take an accurate

Hankel transform of some data. We are wondering if anybody knows of a good

algorithm that is available (we're not so much concerned about speed as we

are accuracy). The Hankel transform is

g(k)=integral(0,inf)[r*p(r)*J0(k*r)]dr

Please email any suggestions to:

Sheri Martinelli, Dan Renzi, and Jaime Haletky

martis@rpi.edu

Thank you!

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

From: Peter Alfeld <alfeld@math.utah.edu>

Date: Tue, 7 Jul 1998 07:53:50 -0600 (MDT)

**Subject: Bernstein-Bezier Applet**

For my teaching and research I have written an applet that lets you

explore the Bernstein-Bezier Form of a bivariate polynomial, design

finite elements, and analyze spaces of splines defined on

triangulations. If you are interested check it out at

http://www.math.utah.edu/~alfeld/MDS/

Peter Alfeld, Dept of Mathematics, University of Utah, Utah 84112,

alfeld@math.utah.edu

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

From: Xiong Zhang <xzhang@me.UVic.CA>

Date: Fri, 10 Jul 1998 16:49:41 -0700

**Subject: A Nonlinear Eigenproblem**

I have a nonlinear eigenproblem:

( K(w)-w^2M)X=0

where K(w) is a nonlinear complex symmetric matrix and M is a real symmetric

matrix.

The first eigen value can be obtained by using matrix iteration method.

Is there a way to obtain the first n eigen velues and eigen vectors ?

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

From: Armin Iske <iske@mathematik.tu-muenchen.de>

Date: Tue, 7 Jul 1998 10:22:01 +0200

**Subject: Change of Address for Armin Iske**

I have moved to Munich University of Technology, Germany.

Effective since July 1st 1998, my new professional address

and related data are:

Dr. Armin Iske

Chair for Numerical Analysis

and Scientific Computing

Center of Mathematical Sciences

Munich University of Technology

Arcisstrasse 21

D-80290 Muenchen

Germany

Phone: +49-89-289-28 375

Fax : +49-89-289-28 689

E-mail: iske@mathematik.tu-muenchen.de

URL : http://www.mathematik.tu-muenchen.de

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

From: Rob Owens <rgo@maths.napier.ac.uk>

Date: Fri, 17 Jul 1998 14:13:14 +0100 (BST)

**Subject: Change of address for Robert G. Owens**

Dear all,

After 1 September 1998 my new contact details

will be as follows:

IMHEF-EPFL,

ME-Ecublens,

CH-1015 Lausanne,

Switzerland

Fax: +41 21 693 3646

email: owens@azur.epfl.ch

Best wishes,

Rob Owens

Department of Mathematics,

Napier University,

219 Colinton Road,

Edinburgh EH14 1DJ,

Scotland, UK

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

From: Ashok Srinivasan <ashoks@ncsa.uiuc.edu>

Date: Wed, 8 Jul 1998 10:22:23 -0500 (CDT)

**Subject: Parallel Random Number Generator Library**

Parallel Random Number Generator Library

We are happy to announce the release of SPRNG 1.0: a Scalable

Parallel Random Number Generator Library. (It can be used for the usual

serial random number generation too.)

These libraries are callable from C, C++, and FORTRAN programs. We

have ported the generator to the following machines: Cray T3E, Convex

Exemplar, SGI Power Challenge array, Origin 2000, IBM SP2, DEC, HP and SUN

workstations, and PC (Linux). It should be easy for users to port it to

other machines too.

We have also included a test suite. The six random number generators

included in our library have been subjected to some of the largest

random number tests ever performed, with up to 10^13 random numbers in

certain tests.

Please see our home page:

http://www.ncsa.uiuc.edu/Apps/SPRNG/

For further information.

Ashok Srinivasan

National Center for Supercomputing Applications (NCSA)

University of Illinois at Urbana-Champaign

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

From: Pete Stewart <stewart@cs.umd.edu>

Date: Fri, 10 Jul 1998 13:11:41 -0400 (EDT)

**Subject: Householder Symposium**

FOURTEENTH HOUSEHOLDER SYMPOSIUM

http://roadmap.ubc.ca/hholder

The Householder Symposium on Numerical Linear Algebra will be

held June 14-18, 1999 at the Chateau Whistler, Whistler B.C., Canada,

about 2 hours drive north of Vancouver. This meeting is the

fourteenth in a series, previously called the Gatlinburg Symposia.

The name honors Alston S. Householder, one of the pioneers in

numerical linear algebra and organizer of the first four meetings.

The meeting has traditionally been held in an isolated location and is

very informal in style. Each attendee is given the opportunity to

present a talk, but a talk is not mandatory. The format of the

meeting includes scheduled presentations during the day and more

informal evening sessions that are organized electronically shortly

before the meeting. Spirited discussion is encouraged.

At the meeting, the tenth Householder prize will be awarded for the

best thesis in numerical algebra written since 1 January 1996.

We hope that the meeting will be attended by recent entrants into

numerical algebra as well as more experienced researchers. We

encourage attendance by core numerical linear algebra researchers,

matrix theoreticians, and people in applications such as optimization,

signal processing, control, etc.

The Program Committee welcomes your contribution. The meeting

facility holds only 125 people, however, so attendance may need to be

limited. We are seeking funding to provide financial assistance to

recent Ph.Ds and others who might need it.

For full consideration, the committee must receive your abstract by 11

December 1998. Information concerning the application process may be

found at the URL listed above. Please use the format provided at the

Website. The committee expects to complete the list of attendees and

scheduled presentations by 1 February 1999.

After reading the files in the Website, if you have any questions

about local arrangements, please contact Jim Varah

(varah@cs.ubc.ca|}). Other questions can be directed to

house-request@cs.umd.edu.

The Program Committee:

A. Bjorck,

A. Bunse-Gerstner,

T. Chan,

C. Davis,

A. George,

N. Higham,

D. O'Leary,

G. W. Stewart (Chair),

P. Van Dooren,

C. Van Loan,

J. Varah (ex officio)

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

From: Pete Stewart <stewart@cs.umd.edu>

Date: Fri, 10 Jul 1998 13:11:41 -0400 (EDT)

**Subject: Householder Prize**

HOUSEHOLDER AWARD X

Nominations are solicited for the Alston S. Householder Award X

(1999). The award will be presented to the author of the best

dissertation in numerical algebra submitted by the recipient of a

Ph.D. earned between January 1, 1996, and December 31, 1998.

The term numerical algebra is intended to describe those parts of

mathematical research that have both algebraic aspects and numerical

content or implications. Thus, for example, the term covers linear

algebra that has numerical applications and the algebraic aspects of

ordinary differential, partial differential, integral, and nonlinear

equations. To qualify, the dissertation must have been submitted to

fulfill requirements for a degree at the level of a United States

Ph.D. Candidates from countries in which a formal dissertation is not

normally written at that level may submit an equivalent piece of work.

The Householder Award, given every three years, was established at the

1969 Gatlinburg Symposium (now renamed the Householder Symposium) to

recognize the outstanding contributions of Alston S. Householder,

1904--1993, to numerical analysis and linear algebra.

Entries will be assessed by an international committee consisting of

James Demmel (University of California, Berkeley), Ludwig Elsner

(University of Bielefeld), Paul Van Dooren (Catholic University of

Louvain), Charles Van Loan (Cornell University), and Olof Widlund

(Courant Institute, New York University).

The candidate's sponsor (the supervisor of the candidate's research)

should submit five copies of the dissertation (or qualifying work),

together with an appraisal by February 15, 1999, to

Professor Paul Van Dooren

Catholic University of Louvain

Centre for Systems Engineering and Applied Mechanics (CESAME)

Batiment Euler (Rm A.119), 4, avenue Georges Lemaitre

B-1348 Louvain la Neuve

Belgium.

email: vandooren@anma.ucl.ac.be

The award will be presented at the Householder Symposium XIV, to be

held June 14--18, 1999, at Whistler, B.C., Canada. Candidates on the

short list will receive invitations to the meeting.

Previous Householder Award winners were F. Robert (Grenoble) in 1971,

Ole Hald (New York University) in 1974, Daniel D. Warner (University

of California, San Diego) in 1977, E. Marques de S{\'a} (Coimbra) and

Paul Van Dooren (K. U. Leuven) in 1981 (shared), Ralph Byers (Cornell

University) and James M. Demmel (University of California, Berkeley)

in 1984 (shared), Nicholas J. Higham (University of Manchester) in

1987, Alan Edelman (Massachusetts Institute of Technology) and Maria

Beth Ong (University of Washington) in 1990 (shared), Hong-Guo Xu

(Fudan University) and Barry Smith (New York University) in 1993

(shared), and Ming Gu (Yale University) in 1996.

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

From: D. M. Sloan <caas10@ccsun.strath.ac.uk>

Date: Tue, 7 Jul 1998 10:16:34 +0100

**Subject: Scottish Computational Mathematics Symposium**

SCOTTISH COMPUTATIONAL MATHEMATICS SYMPOSIUM 1998

First Announcement

10am-5pm Monday 21st September 1998

University of Strathclyde, Glasgow, Scotland

This is the seventh annual SCOTTISH COMPUTATIONAL MATHEMATICS

SYMPOSIUM. The meeting is partly supported by the London Mathematical

Society.

SPEAKERS

Malcolm Bloor Applied Mathematical Studies, University of Leeds

Tim Goodman Mathematics, University of Dundee

Philip Knight Mathematics, University of Strathclyde

Martin Stynes Mathematics, University College, Cork

Yves Tourigny Mathematics, University of Bristol

REGISTRATION

Fees: 20 pounds ( 15 pounds for graduate students)

To register, send a cheque payable to University of Strathclyde by

11th September to the address below. Fee includes tea, coffee & lunch.

SCMS98

Department of Mathematics

University of Strathclyde

Glasgow G1 1XH

The meeting is organised by D B Duncan (Heriot-Watt University)

and D M Sloan (Strathclyde University). A timetable will be circulated

shortly.

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

From: Rick Caron <rcaron@gamma.uwindsor.ca>

Date: Tue, 7 Jul 1998 10:19:49 EDT

**Subject: Canadian Operational Research Society Conference**

CORS-SCRO '99, Windsor

The 41st National Conference of the Canadian Operational

Research Society (CORS) will be held June 7-9, 1999 in

Windsor, Ontario. The theme of the conference is

"Operational Research In Motion" and the confirmed plenary

speakers are Harvey Greenberg, Carl Harris, and Gilbert Laporte.

The deadline for abstract submission is March 1, '99.

Early registrations fees are applicable until May 1, 99.

For more information visit <www.cors.ca/windsor/>

or email Richard Caron <rcaron@uwindsor.ca>.

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

From: Trini Flores <flores@siam.org>

Date: Thu, 09 Jul 98 10:15:46 -0500

**Subject: SIAM Conference on Geometric Design **

Sixth SIAM Conference on Geometric Design

November 2-5, 1999

Sheraton Old Town Hotel

Albuquerque, New Mexico

SIAM and the Organizing Committee for the Sixth SIAM Conference

on Geometric Design are pleased to announce that the conference

Call for Papers is now available on the Web. To know more about

the conference themes, invited plenary speakers, minisymposia,

and deadlines for submission of minisymposium proposals or

contributed abstracts, please visit

www.siam.org/meetings/gd99/

Trini Flores

flores@siam.org

meetings@siam.org

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

From: Timothy Barth <barth@nas.nasa.gov>

Date: Sat, 11 Jul 1998 16:58:30 -0700 (PDT)

**Subject: Lecture Series on High Order Discretization Methods in CFD**

RTO/VKI/NASA Lecture Series on

"High Order Discretization Methods in CFD"

Two Presentation Locations and Dates:

von Karman Institute for Fluid Dynamics

Rhode-Saint-Genese, Belgium

14-18 September 1998

and

NASA Ames Research Center

Moffett Field, California, USA

21-25 September 1998

Lecturers:

Prof. R. Abgrall

Applied Mathematics

Universite de Bordeaux I, France

Prof. B. Cockburn

School of Mathematics

University of Minnesota, USA

Dr. R. Henderson

Aeronautics & Applied Mathematics

CALTECH, USA

Prof. Y. Maday and C. Bernardi

Laboratoire d'Analyse Numerique

Universite Pierre et Marie Curie, France

Prof. C. Schwab

Seminar fuer Angewandte Mathematik

ETH Zuerich, Switzerland

Prof. C-W Shu

Division of Applied Mathematics

Brown University, USA

Lecture Series Topics:

- Runge Kutta Discontinuous Galerkin method for nonlinear hyperbolic

systems and extension for convection-dominated problems

- formal high-order accuracy, nonlinear stability and parallelization of

discontinuous Galerkin methods

- applications to inviscid and high Reynolds number viscous compressible

flow, shallow water flow, MHD, and semiconductor device simulation.

- h-p FE variational formulation of stationary problems: convection

diffusion, incompressible fluid flow, non-Newtonian fluids.

- h-p FE subspaces: nonuniform element order, geometric mesh refinements,

irregular nodes, isoparametric hp-FEM, spectral elements.

- algorithmic issues: selection of shape functions and quadrature, mass

lumping, hp-elements as Fortran90 objects, irregular nodes, parallel static

condensation, direct and iterative solution.

- a-posteriori error estimation

- h-p FE application to viscous, incompressible flow: regularity of the

solution, mesh design, selection of hp-subspaces, stable element pairs,

stabilization techniques

- application to convection dominated problems: boundary layers, numerical

resolution and robust spectral approximation of viscous boundary layers and

shock profiles, stabilization of hp-FEM for convection dominated problems

- application to time dependent problems, hp-time stepping schemes for

transient calculations

- construction, analysis, and application of ENO (Essentially

Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes

for hyperbolic conservation laws

- techniques to extend ENO schemes on unstructured meshes

- implementation and theoretical issues

- modified higher order TVD techniques

- applications for flow problems containing both shocks and complicated

smooth solution structures such as compressible turbulence simulations and

aeroacoustics

- numerical basics of spectral and spectral element methods for elliptic,

parabolic and hyperbolic problems

- mortar element methods

- numerical analysis of the approximation of the Stokes and Navier-Stokes

problems

- strategies for adaptive mesh refinement

- applications to transition studies and direct numerical simulations of

turbulence.

- current developments for expansions on triangles and tetrahedra,

multipole methods, and the use of high-order B-splines

Administration:

Prof. H. Deconinck

von Karman Institute for Fluid Dynamics

Chaussee de Waterloo, 72

1640 Rhode-Saint-Genese, Belgium

Tel: 32 2 359 9611 Fax 32 2 359 9600

Email: deconinck@vki.ac.be

Dr. T. J. Barth

NASA Ames Research Center

Information Sciences Directorate

Mail Stop T27A-1

Moffett Field, CA 94035, USA

Tel: 1 (650)604-6740 FAX: 1 (650)604-3957

Email: barth@nas.nasa.gov

And

Marcia Redmond (Local Coordinator)

NASA Ames Research Center

NAS Systems Division

Mail Stop 258-6

Moffett Field, CA 95035, USA

(650) 604-4373

redmond@nas.nasa.gov

On-Line Registration Information:

VKI Presentation: http://www.vki.ac.be/public/lseries/97-98/agard1.htm

NASA Ames Presentation: http://science.nas.nasa.gov/Services/Training/98NatoRtowkshp.html

Financial Assistance (NASA Ames Presentation):

No registration fee will be required for the NASA Ames presentation.

A limited number of travel stipends are available to students and

other individuals located within the U.S. who wish to attend the

lecture series. These stipends are awarded on a competitive basis

with the stipend amount depending on the number of applicants. For

further information send Email to T. Barth (barth@nas.nasa.gov)

before August 15, 1998.

Tim Barth

NASA Ames Research Center

Information Sciences Directorate

NAS Division

Mail Stop T27A-1

Moffett Field, CA 94035

Tel (650)604-6740

FAX (650)604-3957

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

From: Steve McCormick <stevem@boulder.colorado.edu>

Date: Wed, 15 Jul 1998 14:00:34 -0600 (MDT)

**Subject: Copper Mountain Conference on Multigrid Methods**

ANNOUNCING:

Ninth Copper Mountain Conference on Multigrid Methods

April 11-16, 1999

Copper Mountain, Colorado, USA

ORGANIZED BY:

The University of Colorado

The Society for Industrial and Applied Mathematics

The Center for Advanced Scientific Computation at LLNL

The Institute for Algorithms and Scientific Computing of the GMD

Front Range Scientific Computations, Inc.

TENATIVE SPONSORS:

DOE, NSF, and IBM

THEME:

GENERAL SCALABLE MULTIGRID METHODS: ALGEBRAIC AND PARALLEL TECHNIQUES.

Every effort will be made to encourage contributions from anyone whose

interest lies in these important and rapidly evolving fields.

IMPORTANT FEATURES:

STUDENT PAPER COMPETITION. We are hoping to support the participation of

several students, depending on availability of grant funds.

MULTIGRID TUTORIAL. We will offer an updated tutorial on basic multigrid

and advanced multilevel techniques, including algebraic multigrid (AMG).

CONFERENCE DEADLINES:

Student Papers Dec. 15, 1998

Author Abstracts Feb. 1, 1999

Early Registration Feb. 1, 1999

Guaranteed Lodging March 1, 1999

FURTHER INFORMATION:

Please access our web site at

http://amath-www.colorado.edu/appm/faculty/copper

or contact

Cathy Lee

FRSC

1390 Claremont Drive

Boulder, CO 80303

USA

(303) 554-1232

copper@boulder.colorado.edu

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

From: Panos Pardalos <pardalos@ufl.edu>

Date: Sat, 18 Jul 98 13:13:02 EDT

**Subject: Conference on Advances in Convex Analysis and Global Optimization**

PRELIMINARY ANNOUNCEMENT

Conference on "Advances in Convex Analysis and Global Optimization"

Honoring the memory of C. Caratheodory (1873-1950)

Date: June 5-9, 2000

Location: Pythagorion - Samos, Greece

Organizers:

Nicolas Hadjisavvas <nhad@aegean.gr> and Dimitrios Kandilakis <dkan@aegean.gr>

University of the Aegean, Greece

Panos Pardalos <pardalos@ufl.edu>

University of Florida, USA

The conference on Advances in Convex Analysis and Global Optimization

aims at fostering the cooperation among practitioners and theoreticians

in the fields of convex analysis and global optimization.

Several invited talks will report on original research (both theoretical

and experimental) in all areas of convex analysis and global optimization,

including surveys of important recent results/directions.

The conference will be held in the city of Pythagorion, on the island

of Samos, Greece. Samos, an island of astonishing natural beauty and

very old history is located in the Northeast Aegean sea, and is the

birthplace of Pythagoras, Epikouros and Aristarchos.

Additional information on travel and local accommodations will be

provided at a later date. More information on the conference can be

obtained from the organizers.

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

From: Sergei Molokov <s.molokov@coventry.ac.uk>

Date: Tue, 14 Jul 1998 15:41:51 +0100 (BST)

**Subject: Postdoctoral Positions at Coventry and Oxford**

TWO POSTDOCTORAL POSTS (COVENTRY AND OXFORD UNIVERSITIES)

Two Postdoctoral Research Assistants are required to work on a two year

EPSRC project on the fragmentation of wires due to pulsed currents. The

research involves the simulation of the propagation of stress waves in wires

carrying electric currents. The successful candidates will be required to

have considerable experience in numerical modelling; previous experience in

dealing with problems in elasticity would be an advantage. The project is a

joint one between Coventry University and the University of Oxford. One

Research Assistant will be based at each University and a close working

collaboration will be established. The salary will be 17,958 pounds sterling

p.a. rising in the second year to 18,864 (somewhat higher in Coventry).

Further particulars may be found at http://www.eng.ox.ac.uk or obtained from

Mr. C.J.Scotcher, The Senior Administrator, University of Oxford, Department

of Engineering Science, Parks Road, Oxford, OX1 3PJ, UK, to whom written

applications should be made, enclosing a curriculum vitae and the names and

addresses of two referees. Please quote "RA/JEA" in all correspondence. The

closing date for applications is 14th August, 1998. Applicants are asked to

arrange directly with their referees for references to be sent by this date.

For an informal discussion contact Dr. Sergei Molokov at

s.molokov@coventry.ac.uk

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

From: John Maddocks <maddocks@dma.epfl.ch>

Date: Tue, 07 Jul 1998 11:58:19 +0200

**Subject: Positions at Swiss Federal Institute of Technology, Lausanne**

There are positions available within the Chair of Applied Analysis at

the EPFL to work in the areas of

i) Visualization techniques applied to steered, parameter-continuation

computations

or

ii) Mathematical modelling of the mechanical properties of DNA

Appointments in either area may be possible at either the PhD or

Postdoctoral level with a range of possible starting dates. However

there are two focussed postdoctoral appointments available immediately,

with the specific research projects of

a) implementing a port of an existing continuation and visualization

code to Java3D running under NT on an alpha-chip parallel super-computer

that is being developed at the EPFL

b) bridging the gap between numerical simulations of DNA based on

Molecular Dynamics and continuum mechanics models

Further details of the group's research, terms of the appointments, and

the application procedure can be found at

http://lcvmwww.epfl.ch/Positions.html

Professor John H. Maddocks

DMA (Department of Mathematics)

EPFL (Swiss Federal Institute of Technology)

CH-1015 Lausanne

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

From: Bob Mattheij <mattheij@win.tue.nl>

Date: Wed, 8 Jul 1998 17:13:19 +0200 (MET DST)

**Subject: Research Position at Eindhoven University of Technology**

A PhD-position for research on Contour Dynamics for Chaotic Advection Studies

In the groups Scientific Computing of the Mathematics Department and Vortex

Dynamics of the Physics Department at Eindhoven University of Technology (The

Netherlands) a fundamental research program is focused on the properties of

quasi-2D flows and simulations of such flows with state-of-the-art numerical

techniques. Present project is a continuation of a successful collaboration

between both groups during the last years in the field of the dynamics of coherent

vortices in stratified or rotating fluids, self-organisation and chaotic advection

in 2D turbulence. Applications for a PhD position are invited in the area of

numerical studies of chaotic advection in quasi-2D flows with a Contour

Dynamics algorithm.

For this PhD-project a master's degree in (theoretical) physics or mathematics

and a good background in both fluid dynamics and numerical techniques are

required.

For a PhD position, the conditions are approximately as follows: As a PhD

student you will receive a gross salary that increases during your 4 year contract.

It is Dfl 2843/month in the first year and increases to Dfl 3841/month in the fourth

year.

Further information on these PhD-projects can be obtained from:

(Mathematics)

Prof.dr. R.M.M. Mattheij (email: mattheij@win.tue.nl),

(Physics)

Prof.dr.ir. G.J.F. van Heijst (email: G.J.F.v.Heijst@fdl.phys.tue.nl)

Dr. H.J.H. Clercx (email: H.J.H.Clercx@ fdl.phys.tue.nl).

For more information about the research activities of both groups see the

WWW-pages at: http://www.win.tue.nl/math/an/scg/ (scientific computing) and

http://tnj.phys.tue.nl/ (fluid dynamics laboratory).

Send detailed resume and names/addresses of three professional references to:

Prof.dr. R.M.M. Mattheij

Mathematics Department (Building HG 8.36)

Eindhoven University of Technology

P.O. Box 513

NL-5600 MB Eindhoven

The Netherlands

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

From: C.-W. Shu <shu@cfm.brown.edu>

Date: Wed, 8 Jul 1998 15:19:59 -0400

**Subject: Faculty Position at Brown University**

Position for Assistant Professorship in Scientific Computing

Division of Applied Mathematics - Brown University

The Division of Applied Mathematics, Brown University has an opening of a

tenure track position at the Assistant Professor level in the area of

Scientific Computing. Preference will be given to researchers in high order

accuracy methods with applications such as Fluid Mechanics, Electromagnetics,

Optics and/or Materials Science. Postdoctoral experience preferred. Excellent

communication skills are required for teaching at the undergraduate and

graduate levels.

The starting date for the position is February 1999. A Ph.D is required; all

requirement for the degree must be completed by January 31, 1999.

Applicants should have a curriculum vitae, at least three letters of

recommendation and relevant publications sent to: Professor C.-W. Shu, Chair,

Scientific Computing Position, Division of Applied Mathematics, Box F, Brown

University, Providence R.I. 02912.

To receive full consideration, complete applications should be received by

November 1, 1998.

Brown University is an affirmative action/equal opportunity employer. Women

and minorities are encouraged to apply.

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

From: Henry Greenside <hsg@phy.duke.edu>

Date: Wed, 8 Jul 1998 17:25:54 -0400

**Subject: Postdoctoral Position at Duke University**

A strong highly-motivated researcher is sought for a

joint Caltech-Duke postdoctoral position in computational

fluid dynamics and nonequilibrium physics. 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 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. This is a

two-year position that will begin in fall of 1998.

Interested candidates should send a resume with three

references to:

Professor Henry Greenside

Department of Physics

P. O. Box 90305

Duke University

Durham, NC 27708-0305

This information can also be sent via e-mail to the

address hsg@phy.duke.edu. Further information about this

position can be obtained by contacting Professor Henry

Greenside at 919-660-2548 or at hsg@phy.duke.edu.

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

From: Mike Pettipher <zlsiimp@cs6400.mcc.ac.uk>

Date: Thu, 9 Jul 1998 09:19:02 +0100 (BST)

**Subject: Positions at the University of Manchester**

Manchester Computing

The University of Manchester

Manchester

United Kingdom

High Performance Computing Staff

Manchester Computing, the computing service of the University of

Manchester, in conjunction with Silicon Graphics Cray Research

Division and Computer Sciences Corporation Supercomputing Division has

just secured the prestigious contract to provide, on

behalf of the Research Councils, the new flagship high performance

computing service to UK Academia. We wish to recruit a number

of staff to help provide this and other high performance computing

services. The new service will be based around a 576 processor

Cray T3E system, (the fourth most powerful computer in the world), and a

Silicon Graphics Origin2000 system. In addition, the

University runs a number of other Origin2000 servers.

We are seeking to fill the following posts;

Project Manager (#23,000 - #33,000) (ref: 439/98)

Senior Application Specialists (circa #25,000)

Application Specialists (#18,000-#20,000)

Trainee Application Specialists(#15,000-#17,000) (ref: 440/98)

Front-line Support Staff (#15,000 - #22,000) (ref: 441/98)

The University is also establishing an Institute of Computational

Science and is seeking applications for

Research Assistants/Software Engineers: (#15,000-#22,000) (ref: 441b/98)

All the above posts are fixed term appointments for two years, with the

possibility of further extensions dependent upon the success

of this six-year contract with the Research Councils. All salaries are

in UK pounds sterling.

As an Equal Opportunities Employer, the University welcomes applications

from suitably qualified people from all sections of the

community, regardless of race, religion, gender or disability.

For informal discussion about the positions contact Terry Hewitt on 0161

275 6095 (44 161 275 6095 from outside the UK).

Further information and application forms can be obtained from Ms Sue

Wan, Office of the Director of Personnel, University of

Manchester, Manchester M13 9PL, telephone: 0161 275 2442; email:

sue.wan@man.ac.uk quoting one of the above reference

numbers. The closing date for applications is 24th July 1998.

For further details of HPC at Manchester please see

http://www.mcc.ac.uk/hpc

For further details of the posts themselves please see

http://www.man.ac.uk/MVC/general/mvcjobs-03.shtml

For preliminary details of the new HPC service see

http://www.cfs.man.ac.uk/

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

From: T. N. Phillips <tnp@aber.ac.uk>

Date: Thu, 09 Jul 1998 10:15:21 +0100

**Subject: Postdoctoral Positions at University of Wales, Aberystwyth**

DEPARTMENT OF MATHEMATICS

UNIVERSITY OF WALES, ABERYSTWYTH

POSTDOCTORAL POSITIONS

The Department of Mathematics has been awarded funding for

two postdoctoral positions. The first is funded by the

EPSRC Chemical Engineering Programme for a project concerned with

the computation of non-Newtonian flows on heterogeneous

networks of processors.

This project will start on 1 December 1998

or possibly at a later date to be mutually agreed.

Familiarity with the spectral element method and/or

parallel computing hardware and message passing

software would be an advantage.

The second is funded by the EU for a project

concerned with the dynamics of polymeric liquids.

This project can begin with immediate effect and

is part of a European Network involving ten universities.

Applicants for both positions should hold, or expect to obtain in the near

future, a PhD in applied mathematics or engineering.

Applications should be made by sending a curriculum vitae and names

of two academic referees to Dr. T.N. Phillips, Department

of Mathematics, University of Wales, Aberystwyth SY23 3BZ.

Informal enquiries are welcomed either by phone

(01970 622769) or by email (tnp@aber.ac.uk).

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

From: Chris Petrie <Chris.Petrie@newcastle.ac.uk>

Date: Thu, 9 Jul 1998 17:14:16 +0100 (BST)

**Subject: Position at University of Newcastle upon Tyne**

UNIVERSITY OF NEWCASTLE UPON TYNE

DEPARTMENT OF ENGINEERING MATHEMATICS

LECTURESHIP IN ENGINEERING MATHEMATICS

This post is available from 1st August 1998. The person appointed

should have a PhD and research interests in applied mathematics or the

fundamentals of engineering science. He or she will be required to

contribute to teaching mathematics in the Faculty of Engineering and to

research in the Department, which was awarded a Grade 4 in the 1996 RAE.

The Department has strong research interests in application of

mathematics to engineering and physical problems, in particular

multiphase flow, non-Newtonian fluids, wave propagation and

mathematical modelling of engineering systems.

Salary will be at an appropriate point on either the Lecturer Grade A

scale: 16,366 - 21,436 pounds per annum or Lecturer Grade B scale:

22,332 - 28,545 pounds per annum, according to qualifications and

experience.

For further information, including how to apply, please telephone

(0191) 222 5429 (24 hour answerphone) quoting reference A6312 or

write to: Personnel Section, University of Newcastle, 1 Park Terrace,

Newcastle upon Tyne NE1 7RU.

Closing date for applications: 7th August 1998.

See http://www.ncl.ac.uk/news/vacancies.html (soon)

and http://www.ncl.ac.uk/engmaths/

Informal enquiries to "Engineering.Maths@ncl.ac.uk".

Information supplied by

Chris Petrie, Professor of Non-Newtonian Fluid Mechanics

Department of Engineering Mathematics, University of Newcastle upon Tyne.

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

From: Christof Eck <eck@fauam3c.am.uni-erlangen.de>

Date: Fri, 10 Jul 1998 15:56:44 -0600

**Subject: Research Position at University Erlangen-Nuremberg**

PhD POSITION IN APPLIED MATHEMATICS

The Institute for Applied Mathematics of the University Erlangen-Nuremberg,

Germany, is searching candidates for a position connected with a research

project in applied mathematics.

Funding for the project is applied for at the Bavarian Research Foundation.

Its aims are the modeling and simulation of solidification, fluid flow and

solute transport in casting processes. The task of the project researcher

is the simulation of fluid flow and solute transport in the porous

intermediate zone between liquid and solid material. The models are

nonlinear partial differential equations. The algorithm shall be implemented

into an existing code for the simulation of casting processes which is

written in C++. The position depends on the confirmation of the Bavarian

Research Foundation and is expected to have a term of two years.

The ideal candidate has a degree in mathematics or a similar subject.

He/She should be familiar with applied mathematics/scientific computing

and/or partial differential equations. Knowledge of the German language is

not expected and only advantageous as far as everyday life is concerned. The

candidate is expected to write a PhD thesis during the work on the project.

Salary is according to the German BAT IIa/2 tariff for both positions.

It depends on age and family status. (A 25 year old unmarried person

receives about DEM 33,000 / US$ 20,000 gross payment per annum.)

Candidates which are interested in this position should contact

me as soon as possible, and provide their CV and a description of their

scientific background and interests.

Prof. Dr. Peter Knabner

Institute for Applied Mathematics Tel. +49(0)9131 857015 or 857016

Martensstr. 3 Fax. +49(0)9131 857670

D 91058 Erlangen e-mail: knabner@am.uni-erlangen.de

Germany

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

From: Iain Duff <I.Duff@rl.ac.uk>

Date: Fri, 10 Jul 1998 09:45:36 +0100 (BST)

**Subject: Contents, IMA Journal of Numerical Analysis **

IMA JOURNAL OF NUMERICAL ANALYSIS --- Volume 18, Number 3.

Goodman, T. N. T., Micchelli, C. A., Rodriguez, G., and Seatzu, S.

On the limiting profile arising from orthonormalizing shifts of exponentially

decaying functions.

pp 331-354

Dussault J-P

Augmented penalty algorithms.

pp 355-372

Hegland, M. and Osborne, M. R.

Wrap-around partitioning for block bidiagonal linear systems.

pp 373-383

Vasconcelos P B and d'Almeida F D

Preconditioned iterative methods for coupled discretizations of fluid flow

problems.

pp 385-397

Guglielmi N

Delay dependent stability regions of $\THETA$-methods for delay differential

equations.

pp 399-418

Bj{\/o}rhus M

Operator splitting for abstract Cauchy problems.

pp 419-443

Jeltsch, R, Renaut, R A, and Smit, J H

An accuracy barrier for stable three-time-level difference schemes for

hyperbolic equations.

pp 445-484

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

End of NA Digest

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