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

- Who Invented Euler's Method?
- Solution Method in Search of Problems
- Permutations of a Set of Integers
- Orthogonal Polynomial Archive
- Coupled Eigenvalue Problem
- Change of Address for Charles Crawford
- Change of Address for Feng Xiao
- Note from a Colleague in Azerbaijan
- Navier-Stokes Software Available
- Software for Linear and Mixed Integer Programs
- New Code for Stiff and Differential-algebraic Equations
- Announcement of a New Journal
- Industrial Mathematics Modeling Workshop
- Southern Ontario Numerical Analysis Day
- Computational Methods and Function Theory
- Conference on Modern Group Analysis
- Studentship at University of Huddersfield
- Studentship at University of Bristol
- Postdoctoral Position at Claremont Graduate School
- Positions at Weierstrass Institute, Berlin
- Research Position at K. U. Leuven
- Contents, Applications of Mathematics
- Contents, SIAM Scientific Computing
- Contents, Numerical Algorithms

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

From: Joseph Grcar <sepp@california.sandia.gov>

Date: Mon, 14 Apr 97 13:29:17 -0700

**Subject: Who Invented Euler's Method?**

History question:

Why is Euler's method (for discretizing ode's) called Euler's

method? Did Euler invent it? If not he, then who? And who

is responsible for distinguishing between the explicit and

implicit versions as "forward" and "backward"?

Regards, Joe Grcar (na.grcar@na-net.ornl.gov)

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

From: D. Kenneth McLain <mclain@psc.edu>

Date: Mon, 14 Apr 1997 15:25:09 -0400 (EDT)

**Subject: Solution Method in Search of Problems**

Consider the following mathematical problem: Given e>0 and complex constants

Cjk, j=2,3,...,N, k=1,2,...,j, find dj such that

|C21 + C22*exp(i*d2)| < e

|C31 + C32*exp(i*d2) + C33*exp(i*d3)| < e

.

.

.

|CN1 + CN2*exp(i*d2) + ... + CNN*exp(i*dN)| < e

This mathematical problem arises from the physical problem of trying to limit

the radial runout of combustion turbine rotors constructed of disks stacked

face-to-face. These disks have machining errors resulting in the faces being

non-parallel and not aligned. The variables dj are the angular orientations

of the disks.

I have developed a method of finding a solution to this problem by converting

the (N-1)-dimensional search problem into (N-1) sequential one-dimensional

search problems. For N=100 I find a solution in a few seconds on a PC.

Does anyone know of any other physical problems which are described

mathematically by the above set of inequalities?

Ken McLain

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

From: Kwon Park <jkjain@MIT.EDU>

Date: Mon, 14 Apr 1997 22:13:55 EDT

**Subject: Permutations of a Set of Integers**

Dear NA-net members,

Is there an efficient algorithm for generating all the N! (N-factorial)

permutations of a set of N integers?

Would appreciate learning about any shareware code or book that

addresses this problem.

Thank you very much.

Kwon (Kwark) Park

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

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

Date: Wed, 16 Apr 1997 16:04:12 -0500 (CDT)

**Subject: Orthogonal Polynomial Archive**

One can of course learn all one wants to know about the classic

orthogonal polynomials in a book such as Abramowitz and Stegun, but I am

curious if anyone has archived collections of "non-standard" orthogonal

polynomials anywhere.

Can anyone point me to a source? I'd hate to re-invent the wheel if

there is something out there I can use.

Jim Epperson http://members.aol.com/jfepperson/causes.html

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

From: Ji Wang <jiwang@epal.smos.com>

Date: Fri, 18 Apr 97 08:43:42 PDT

**Subject: Coupled Eigenvalue Problem**

Hi:

I have a coupled eigenvalue problem like

KX+P^T Y=\omega^2 MX,

PX-QY=0.

The coupling matrices P and Q have very small elements comparing with

the principal one, K. For the first part, KX-\omega^2MX=0, I can

solve it without any problem. To consider the coupling, I am trying

to form a general matrix problem like

GZ-\omega^2 LZ=0,

with

G=[K P^T] L=[M 0] Z=[X]

[P - Q], [0 0], [Y].

Apparent this does not work. In the past, people are using

pertubation method to get solutions.

Are there any techniques to solve the generalized problem rather

than going to using perturbation?

Any comments and suggestions are welcome.

Regards,

Ji Wang | Tel: (415)843-8336 Fax: (415)843-9106

Epson Palo Alto Laboratory | Email: jiwang@epal.com

3145 Porter Drive, Suite 104 | Coordinates: N 37.40806 W 122.14941

Palo Alto, CA 94304-1224 | WWW: http://soil.princeton.edu/~jiwang

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

From: Charles Crawford <ccrawfor@interlog.com>

Date: Mon, 14 Apr 1997 22:17:31 -0400

**Subject: Change of Address for Charles Crawford**

Greetings: I am moving electronically (not geographically) to a new

address: ccrawfor@interlog.com

-- Charles Crawford

formerly at 72163.3476@compuserve.com

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

From: Xiao Feng <xiao@atlas.riken.go.jp>

Date: Tue, 15 Apr 1997 17:32:16 +0900 (JST)

**Subject: Change of Address for Feng Xiao**

I have moved to The Institute of Physical and Chemical Research (RIKEN)

from Gunma University since the beginning of April. My new coordinates are:

Feng Xiao

Computational Science Laboratory

Institute of Physical and Chemical Research(RIKEN)

Hirosawa 2-1, Wako-shi, Saitama, 351-01, Japan

xiao@atlas.riken.go.jp

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

From: Vagif Ibrahimov <NASIB@lan.ab.az>

Date: Wed, 16 Apr 1997 11:02:05 +0400

**Subject: Note from a Colleague in Azerbaijan**

Dear colleagues,

I want to remind you of the economical situation in our Republic of

Azerbaijan, because of it we cannot receive scientific journals

and we are distracted from scientific world. Naturally scientific

world cannot receive some information about our researches.

Therefore I want to know, how can you help me? Maybe for finding

some funding to support my participate in conferences (I received

some invitation from the conferences. Problem is in financial difficulty)

or help me to fined some position for teaching at the Universities.

I send you some information about me.

We inverstigate nimerical solution of the initial value problem

for the ODE arbitrary orders. For this aim consider multistep

multiderivative methods (k-step Obrechkoff's methods) with

constant coefficients. We determined the maximal values of the

degree (maximal exactness of the considered methods) for the stable

explicit, implicit and forward-jumping methods. Also we inverstigated

l-stable methods. We suggested multistep multiderivative methods for

solving ODE arbitrary orders and show that it is effective.

Constructed A-stable method with the high degree ( degree p>2) by

the k-step method with the arbitrary coefficicnts and by the multistep

multiderivative forward-jumping methods. These results are developming

some G.Dahlquist and A.Iserles and S.P.Norsett's results. Now we

research to determine the sign of some coefficients in multi-step

multiderivative and in k-step forward-jumping method and relation

among them.

More information about my work, including a curriculum vitae, is

available on request.

Sincerely

Vagif Ibrahimov

Contact adress:

Faculty Mechanics and Mathematics, Baku State University

M. Rasulzadeh Z. Khalilov str. 23, Baku 370148 Azerbaijan

Republic

Home adress:

370006, Baku-6, pr. N. Narimanov 51/53, flat 29, tel: 39-46-74

Fax: 0099412 + 973029

E-mail: nasib@lan.ab.az

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

From: Stefan Turek <ture@gaia.iwr.uni-heidelberg.de>

Date: Fri, 18 Apr 1997 15:14:33 +0200

**Subject: Navier-Stokes Software Available**

Dear colleagues,

Our FEM software for incompressible Navier-Stokes equations, FEATFLOW1.0,

including all sources, manuals and many (!) demos for nonstationary flows

(as MPEG movies), is "downloadable" via Internet, see

http://gaia.iwr.uni-heidelberg.de/~featflow

Stefan Turek

Institut fuer Angewandte Mathematik, Universitaet Heidelberg, Germany

ture@gaia.iwr.uni-heidelberg.de

http://gaia.iwr.uni-heidelberg.de/~ture

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

From: Harvey Greenberg <hgreenbe@carbon.cudenver.edu>

Date: Wed, 16 Apr 1997 12:25:07 -0600 (MDT)

**Subject: Software for Linear and Mixed Integer Programs**

April 16, 1997

The linux versions of ANALYZE, MODLER and RANDMOD, as well as that of

MINOS, have been re-compiled with linux 2.0.0. The DOS version of MODLER

9.0 has also been updated.

These systems are for linear and (mixed) integer programs.

ANALYZE - computer-assisted analysis.

MODLER - modeling language.

RANDMOD - randomizing instances (for experimentation).

For details please go to the software segment of my web page at

http://www-math.cudenver.edu/~hgreenbe/consortium/software.html

April 19, 1997

I have added "A Laboratory Manual for Teaching Linear Programming with

MODLER and ANALYZE". This is a web (html) version of the June 1994

printed version. It contains 29 exercises in four categories:

Basic structures, Formulation and Analysis, Binary variables and

logical contstraints, and Advanced exercises. The lab manual is on a

new page of mine, called my "courseware page,"

at www-math.cudenver.edu/~hgreenbe/courseware/labman.html

You will also find an LP Short course I am developing, and I welcome

your comments as I shall be completing it this year.

Please see my mathematical programming glossary and tell me what you think.

Feel free to link to it.

Thanks,

Harvey J. Greenberg

hgreenbe@carbon.cudenver.edu

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

From: Jeff Cash <j.cash@ic.ac.uk>

Date: Thu, 17 Apr 97 17:27:47 BST

**Subject: New Code for Stiff and Differential-algebraic Equations**

NEW CODE

This is to announce a new code mebdfdae.f for the solution of

stiff initial value problems and differential algebraic equations

in linearly implicit form. The underlying algorithm is

based on modified extended backward differentiation formulae.

These formulae have considerably better stability than BDF and

are A-Stable up to order 4 and A(alpha)-Stable up to order 9.

Results for mebdfdae.f on the stiff DETEST test set together with

the corresponding results for STRIDE, RADAU5, LSODE and DESI

(which may be used as comparisons) are available by anonymous ftp

and the web. Also available are results for most of the test

problems in the book of Hairer and Wanner. The main addition is that

results are also given for a set of DAEs of index 1-3 taken

from a variety of texts. These include pendulum problems, spring

problems and some of the challenging problems from the Amsterdam test

set.

The code, drivers and results are available from:

email from the author,

WWW: http://www.ma.ic.ac.uk/~jcash/IVP_software/readme.html

Any comments (good or bad) will be gratefully received by the

author on

j.cash@ic.ac.uk

-- Jeff Cash

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

From: Gaetano Continillo <gaetano@irc.na.cnr.it>

Date: Fri, 18 Apr 97 13:48:45 METDST

**Subject: Announcement of a New Journal**

Although not exactly centered on numerical analysis,

Combustion Theory and Modelling is a journal that

has a broad overlap with NA topics, that often

constitute the spinal chord of modern mathematical

modelling of combustion phenomena.

Regards

Gaetano Continillo

Editor

Combustion Theory and Modelling

(gaetano@irc.na.cnr.it)

Announcement of a new journal: Combustion Theory and Modelling

Combustion Theory and Modelling is a new quarterly journal

by the Institute of Phisics Publishing, for the publication

and dissemination of scientific articles that apply mathematical

theory, modelling, numerical simulation and experimental

techniques to the study of combustion.

Editors-In-Chief are Bill Dold, UMIST, Manchester, UK

and Mitch Smooke, Yale University, New Haven, CT, USA.

With its international Editorial Board, Combustion

Theory and Modelling will focus on providing the highest

quality forum for articles that explain combustion phenomena

and that explore the predictions and properties of

combustion models from a modern mathematically-based viewpoint.

The journal encourages submissions on fundamental theoretical

investigations into all aspects of combustion, aimed at gaining a

deeper understanding of its various phenomena and at strengthening

the predictive power of theoretical methods.

Articles can cover a wide range of topics such as: premixed

laminar flames, laminar diffusion flames, turbulent combustion,

fires, chemical kinetics, pollutant formation, microgravity,

materials synthesis, vapour deposition, catalysis, droplet and

spray combustion, detonation dynamics, thermal explosions,

ignition, energetic materials and propellants, burners and engine

combustion. A wide range of mathematical methods may also be

used, including large scale numerical simulation, hybrid

computational schemes, front tracking, adaptive mesh refinement,

optimised parallel computation, asymptotic methods and singular

perturbation theory, bifurcation theory, optimisation methods,

dynamical systems theory, cellular automata and discrete

methods, probabilistic and statistical methods, and rigorous

proofs for mathematical problems that are posed directly from

models of combustion.

Combustion Theory and Modelling also accepts multimedia

material and would like to encourage the submission of

multimedia supplements to regular articles.

Submissions should be sent to

The Managing Editor

Combustion Theory and Modelling

Institute of Physics Publishing

Dirac House

Temple Back

Bristol BS1 6BE

UK

More information is available at http://www.iop.org/Journals/ct.

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

From: Hien Tran <tran@eos.ncsu.edu>

Date: Fri, 18 Apr 1997 16:04:29 -0400

**Subject: Industrial Mathematics Modeling Workshop**

1997 Industrial Mathematics Modeling Workshop for

Graduate Students

August 4-12, 1997

Center for Research in Scientific Computation

North Carolina State University

OBJECTIVES:

* to expose 30 graduate students in mathematics and statistics to the

challenging and exciting real-world problems from industry and

government laboratories

* to introduce students to the team approach to problem solving

FORMAT:

In the Workshop the students will be divided into six teams to work

on "industrial mathematics" problems brought on by experienced applied

mathematicians. These problems are not academic exercises found in

classrooms, but rather challenging, real-world problems from industry

or applied science and require fresh, new insight for their formulation

and solution. In last year Workshop, the problems were presented by

scientists and researchers from Aerospace Corporation, Armstrong Lab.

at Brooks AFB, Chemical Industry Institute of Toxicology, Hughes Aircraft

Company, Lord Corporation and National Security Agency. The problem

presenters for this year Workshop are being recruited and their names

will be announced subsequently.

ORGANIZERS:

Fernando Reitich, North Carolina State University

Jeffrey Scroggs, North Carolina State University

Hien Tran, North Carolina State University

APPLICATION PROCEDURE:

Graduate students in mathematics, applied mathematics, numerical

analysis, statistics or operations research can be nominated for this

program by a faculty member by sending a letter of recommendation. In

addition, the student is required to send in a copy of a recent transcript.

The deadline for application is June 30, 1997. The Workshop will cover

all local living expenses and will provide partial support for travel to

all U.S. citizens and permanent residents (subject to funding availability).

Funding for this Workshop has been requested with the National Security

Agency and the National Science Foundation.

Submit your complete applications or any inquiries you may have concerning

this Workshop to:

Hien T. Tran

Center for Research in Scientific Computation

Box 8205

North Carolina State University

Raleigh, NC 27695-8205

Telephone: (919) 515-8782

Fax: (919) 515-1636

e-mail: tran@control.math.ncsu.edu

Web-address: http://www2.ncsu.edu/immworkshop/announce.html

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

From: Ken Jackson <krj@cs.toronto.edu>

Date: Fri, 18 Apr 1997 19:09:56 -0400

**Subject: Southern Ontario Numerical Analysis Day**

The Fifteenth Annual Southern Ontario Numerical Analysis Day will be

held on Wednesday, 30 April 1997, in the Computer Science Department of

the University of Toronto. The meeting will begin at 9:00 a.m. and end

at about 6:30 p.m.

The distinguished speaker for the day is Professor Bob Russell of the

Mathematics Department of Simon Fraser University. Bob will give a

one-hour talk on "A Moving Mesh Method for Higher Dimensional PDEs".

In addition, there will be 10 contributed talks of 25 minutes each, and

3 posters. All contributed talks will be given in the plenary session;

there will be no parallel sessions. The posters will be presented

during a short reception following the talks.

There is no registration fee for the conference, but we request that

you register by April 21 to help us prepare for the meeting.

For more information on NA Day, including the program, list of talks

and posters, and to register for the meeting, see our web page

http://www.cs.utoronto.ca/~naday

If you do not have access to the web, email us at

naday@cs.utoronto.ca

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

From: Nikos Stylianopoulos <nikos@pythagoras.mas.ucy.ac.cy>

Date: Sat, 19 Apr 1997 11:45:25 +0300 (WET)

**Subject: Computational Methods and Function Theory**

UNIVERSITY OF CYPRUS

Second announcement of the International Conference

Computational Methods and Function Theory '97

Organizers:

N. Papamichael (Nicosia), St. Ruscheweyh (Wurzburg), E.B. Saff (Tampa)

Nicosia, Cyprus October 13-17, 1997

The University of Cyprus will host the 1997 International Conference on

Computational Methods and Function Theory (CMFT '97) at the Philoxenia

Hotel in Nicosia from Monday, October 13 to Friday, October 17, 1997.

The meeting will be the third of a series of such conferences, the first

of which was held in Valapraiso, Chile, in 1989 and the second in Penang,

Malaysia, in 1994. The general theme of the meeting concerns the various

aspects of interaction of complex variables and scientific computation,

but other areas from function theory, approximation theory and numerical

analysis are also covered. Because of its geographical position, Cyprus

offers itself as an ideal place for the fulfillment of one of the major

objectives of the the CMFT meetings which is: ``to assist in the creation

and maintenance of contacts of scientists from diverse cultures''.

There will be nine invited 50-minute addresses as follows:

V.V. Andrievskii, Donetsk, Ukraine,

Zeros of polynomials in the complex plane

L.L. Baratchart, Sophia-Antipolis, France,

Rational or meromorphic approximation in Hardy spaces and Morse theory

P.L. Duren, Ann Arbor, Michigan, USA,

Robin capacity

F.W. Gehring, Ann Arbor, Michigan, USA,

Title to be announced later

A.L. Levin, Open University, Tel Aviv, Israel,

Fast decreasing rationals and their applications

A.Y. Solynin, St. Petersburg, Russia,

Conformal invariants: Some extremal problems and estimates

S. Smale, City University, Hong Kong

Issues of complexity and condition in complex variables

K. Stephenson, Knoxville, Tennessee, USA,

The approximation of conformal structures via circle packing

E. Wegert, Freiberg, Germany,

Nonlinear Riemann-Hilbert problems - History and perspectives

There will be several sessions for contributed 25-minute papers. The

abstracts of such contributed papers should be submitted to the Local

Organizing Committee, preferably by e-mail (using LaTeX), by May 15,

1997. Late submissions are not going to be considered. Participants

will be notified about acceptance by May 31, 1997.

All correspondence and inquiries should be addressed (preferably by

e-mail or fax) to:

The Local Organizing Committee (CMFT'97),

Department of Mathematics and Statistics,

P.O. Box 537,

CY 1678 Nicosia, Cyprus

Phone : +357-2-338701

Fax : +357-2-339061

e-mail : cmft97@pythagoras.mas.ucy.ac.cy

For additional and updated conference information, please visit the

World Wide Web home page http://www.ucy.ac.cy/cmft97.html.

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

From: Arne Marthinsen <arnema@imf.unit.no>

Date: Sun, 20 Apr 1997 13:09:20 +0200

**Subject: Conference on Modern Group Analysis**

International Conference

MODERN GROUP ANALYSIS VII

Lie Groups and Contemporary Symmetry Analysis

Sophus Lie Conference Center, Nordfjordeid

Norway, June 30-July 5, 1997

SECOND ANNOUNCEMENT

Chairman of the Scientific Committee: Nail H. Ibragimov (South Africa)

Chairman of the Organizing Committee: Eldar Straume (Norway)

The 7th International Conference on Modern Group Analysis will take

place in Nordfjordeid, Norway, from Monday, June 30, to Saturday, July

5, 1997. Arrival day is Sunday June 29. The aim of the conference is

to bring together leading scientists in this field. The main topics of

the conference will include:

* Classical heritage and historical aspects of Lie group analysis

* Invariant and partially invariant solutions of differential equations

* Applications in fluid mechanics

* Symmetries in mathematical physics and physical chemistry

* Geometric and group theoretic analysis of initial value problems

* Applications in mathematics of finance and in industrial problems

* Approximate groups,perturbation methods and deformations of Lie algebras

* Group analysis of integro-differential and finite-difference equations

* Nonlocal, conditional and other generalized symmetries

* Computational aspects

The Organizers are pleased to report that more than 60 abstracts have

been received. Potential participants who are not already on our

mailing list should contact us as soon as possible to be registered.

The conference marks the formal opening of the Sophus Lie Conference

Center, and on this occasion recent biographical research on Sophus

Lie will be featured. In particular, two exhibitions will be presented

at the Center, and a biographical talk about Sophus Lie will be given

during the conference.

More information is available at URL:

http://www.math.ntnu.no/conferences/lie/

Questions may be addressed by email to the organizing committee:

sophus.lie@math.ntnu.no

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

From: I. J. Anderson <scomija@zeus.hud.ac.uk>

Date: Mon, 14 Apr 1997 10:06:00 +0100

**Subject: Studentship at University of Huddersfield**

EPSRC CASE Studentship in Computational Mathematics

at University of Huddersfield

A 3-year CASE Project Award of an EPSRC PhD studentship plus

an additional GBP 2500 per annum is available from Sep/Oct 1997

with Professor J C Mason in the School of Computing and Mathematics

at the University of Huddersfield.

The project, "Approximation Algorithms for Data Fusion in

Metrology", is in cooperation with Professor M G Cox

of the National Physical Laboratory and involves data approximation

techniques, as well as related Kalman filtering and statistical

alternatives, for combining data sets of differing character in

industrial measurement. It will have a high

mathematical and numerical content, and contact with industry.

Applicants should have or expect a 2(i) honours degree or better

in a numerate discipline. Other relevant (e.g., MSc) experience

would be welcome.

CASE students are normally fully funded only for UK residents,

but EC students may be funded on a "fees only" basis.

Please contact :

Prof J.C.Mason

School of Computing and Mathematics

University of Huddersfield

Queensgate,

Huddersfield

United Kingdom

HD1 3DH

Phone : 01484 472680

01484 473133

Email : j.c.mason@hud.ac.uk

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

From: Yves Tourigny <Y.Tourigny@Bristol.ac.uk>

Date: Tue, 15 Apr 1997 11:16:07 +0100 (BST)

**Subject: Studentship at University of Bristol**

Ph.D studentship in computational PDEs at Bristol

There is an opportunity for a suitably qualified graduate

to work on an EPSRC funded project studentship

in the area of computational partial differential equations,

starting in October 1997.

The studentship is part of a project entitled

"Moving mesh multilevel methods for partial differential equations".

The aim of the project is to extend a moving mesh technique recently

developed for elliptic equations to problems of fluid flow.

EC citizens are eligible for full funding. For students from countries

outside the EC, the studentship does not cover the fees in full.

Please contact Yves Tourigny (Y.Tourigny@bris.ac.uk)

for further details. General information on postgraduate studies

within the Applied Mathematics and Numerical

Analysis Group, School of Mathematics, University of Bristol,

can be found at the URL

http://www.maths.bris.ac.uk/~amnag/pg.html

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

From: Mary Solberg <solbergm@cgs.edu>

Date: Tue, 15 Apr 1997 14:28:07 -0700

**Subject: Postdoctoral Position at Claremont Graduate School**

POST-DOC POSITION

MCDONNELL DOUGLAS AEROSPACE, LONG BEACH

AND CLAREMONT GRADUATE SCHOOL

Applications are invited from recent math sciences Ph.D.'s for

a post-doc position jointly funded by the NSF Mathematical Sciences

University-Industry Post-Doctoral Program and McDonnell Douglas

Aerospace. The mentors are Tuncer Cebeci from Douglas and

Ellis Cumberbatch from Claremont.

The research will involve studies in computational fluid dynamics.

Candidates should have strong backgrounds in numerical analysis,

computer programming and fluid dynamics.

The position is open immediately, and is currently funded for

twelve months. The position requires US citizenship or permanent

resident status. Applications will be closed June 2, 1997, but

an appointment may be made before that date. A vita and three

reference letters should be sent to

Ellis Cumberbatch, Mathematics Department

Claremont Graduate School, Claremont, CA 91711

Phone: 909-621-8080. Email: cumberbe@cgs.edu

CGS is an affirmative action/equal opportunity employer and

encourages applications from minorities and women.

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

From: WIAS-Berlin <cierzyns@wias-berlin.de>

Date: Tue, 15 Apr 97 10:50:05 +0200

**Subject: Positions at Weierstrass Institute, Berlin**

Weierstrass Institute

for

Applied Analysis and Stochastics (WIAS)

The Weierstrass Institute is an institute of the Forschungsverbund Berlin.

WIAS performs mathematical research projects in various fields of the

applied sciences. These research projects include:

* Modeling in cooperation with researchers from the applied sciences

* Mathematical analysis of these models

* Development of numerical algorithms and software

* Numerical simulation of processes in economy, science and technology

For further information, please contact the WIAS-Server

http://www.wias-berlin.de

The Weierstrass Institute offers research positions starting 01.07.1997

for new projects jointly funded by the German ministry for science,

education and research (BMBF). For further information, please contact the

WIAS-Server

http://www.wias-berlin.de/WIAS_Jobs

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

From: Dirk Roose <Dirk.Roose@cs.kuleuven.ac.be>

Date: Thu, 17 Apr 1997 09:14:37 +0200

**Subject: Research Position at K. U. Leuven**

Research position at K.U.Leuven on

Dynamic Load Balancing for Parallel Scientific Computing

The Scientific Computing research group at the dept. Computer Science,

K.U.Leuven, Belgium, has a vacancy for a researcher on a project about

dynamic load balancing for parallel finite element applications.

In this project, the Scientific Computing group of the K.U.Leuven

will collaborate with four other partners (in Germany and France) on the

development of dynamic load balancing techniques for parallel finite

element software packages, for time-dependent simulations using adaptive

meshes.

These algorithms will be integrated in two commercial softwares. This is a

project in the Information Technology program of the E.C. (Esprit, 'Long

Term Research').

The position is available for 2 years, starting September 1997.

Candidates with a Ph.D. should have experience in numerical methods,

parallel computing and/or software development. Also candidates without a

Ph.D. can apply: the research may be continued via other projects and

can lead to a Ph.D.

More information about the research group can be found at

http://www.cs.kuleuven.ac.be/cwis/research/natw/research-E.shtml .

Interested candidates should send their C.V. to :

Prof. D. Roose

Dept. Computer Science, K.U.Leuven

Celestijnenlaan 200A

B-3001 Heverlee-Leuven

Phone: + 32-16-32 75 46 Fax: + 32-16-32 79 96

Email: Dirk.Roose@cs.kuleuven.ac.be

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

From: Prikryl <PRIKRYL@math.cas.cz>

Date: Mon, 14 Apr 1997 09:19:00 -0100

**Subject: Contents, Applications of Mathematics**

CONTENTS

Application of Mathematics, Volume 42, No. 3

M. D. Esteban: A general class of entropy statistics

161--170

J. Haslinger, R. A. E. M\"{a}kinen: Shape optimization of materially

non-linear bodies in contact

171--194

O. Do\v{s}l\'{y}: A remark on polyconvex envelopes of radially

symmetric functions in dimension 22

195--212

O. Lindblom, R. N\"{a}slund, L.-E. Persson, K.-E. F\"{a}llstr\"{o}m:

A study of bending waves in infinite and anisotropic plates

213--232

S. Korotov: On equilibrium finite elements in three-dimensional case

233--242

Book reviews

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

From: Edward Sisson <sisson@siam.org>

Date: Mon, 14 Apr 97 09:54:16 EST

**Subject: Contents, SIAM Scientific Computing**

SIAM Journal on Scientific Computing

Volume 18, Number 3, MAY 1997

CONTENTS

An Accurate and Robust Flux Splitting Scheme for Shock and Contact

Discontinuities

Yasuhiro Wada and Meng-Sing Liou

A Stable Penalty Method for the Compressible Navier-Stokes Equations: II.

One-Dimensional Domain Decomposition Schemes

J. S. Hesthaven

Parallel Algorithms for Adaptive Mesh Refinement

Mark T. Jones and Paul E. Plassmann

Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface

Tension

Randall J. LeVeque and Zhilin Li

Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon

"Approximate Approximations"

Vladimir Karlin and Vladimir Maz'ya

Regularization of Higher-Index Differential-Algebraic Equations with

Rank-Deficient Constraints

Linda R. Petzold, Yuhe Ren, and Timothy Maly

Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation

Studies with Global Eigenfunction Expansions

Anil K. Bangia, Paul F. Batcho, Ioannis G. Kevrekidis, and George Em.

Karniadakis

Parallel Algorithms for the Spectral Transform Method

Ian T. Foster and Patrick H. Worley

Parallel Preconditioning with Sparse Approximate Inverses

Marcus J. Grote and Thomas Huckle

Orderings for Parallel Conjugate Gradient Preconditioners

S. A. Stotland and J. M. Ortega

A Parallelizable Eigensolver for Real Diagonalizable Matrices with Real

Eigenvalues

Steven Huss-Lederman, Anna Tsao, and Thomas Turnbull

Computing Least Area Hypersurfaces Spanning Arbitrary Boundaries

Harold R. Parks and Jon T. Pitts

Computation of Invariant Tori by the Fourier Methods

Huang Mingyou, Tassilo Kupper, and Norbert Masbaum

On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method

Tony F. Chan, P. Ciarlet, Jr., and W. K. Szeto

Timely Communication

Multiscale Algorithm for Atmospheric Data Assimilation

Achi Brandt and Leonid Yu. Zaslavsky

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From: Baltzer Science <mailer@ns.baltzer.nl>

Date: Thu, 17 Apr 1997 16:03:50 +0200

**Subject: Contents, Numerical Algorithms**

Numerical Algorithms 14 (1997) 1-3

Special Issue: Dynamical Numerical Analysis

Editors: Luca Dieci, Don Estep and Eric Van de Velde

Luca Dieci, Don Estep and Eric Van de Velde

Preface

Uri M. Ascher

Stabilization of invariants of discretized differential systems 1-24

W.-J. Beyn and J.-M. Kleinkauf

Numerical approximation of homoclinic chaos 25-53

Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer

Long periodic shadowing 55-78

Luca Dieci and Jens Lorenz

Lyapunov-type numbers and torus breakdown: numerical aspects and a case study

79-102

E. J. Doedel, M. J. Friedman and B. I. Kunin

Successive continuation for locating connecting orbits 103-124

Mark E. Johnson, Michael S. Jolly and Ioannis G. Kevrekidis

Two-dimensional invariant manifolds and

global bifurcations: some approximation and visualization studies 125-140

Peter E. Kloeden and Bjoern Schmalfuss

Nonautonomous systems, cocycle attractors and variable time-step

discretization 141-152

Martin W. Lo

Libration point trajectory design 153-164

Andrei A. Lyashenko

On the stability of the spectral Galerkin approximation 165-178

James C. Robinson

Convergent families of inertial manifolds for convergent approximations 179-188

Tony Shardlow

Inertial manifolds and linear multi-step methods 189-209

M. W. Smiley

Numerical bifurcation and stability analysis for steady-states of

reaction diffusion equations

211-225

A. M. Stuart

Probabilistic and deterministic convergence proofs for software for initial value problems

227-260

Alexander Tovbis

Homoclinic connections and numerical integration 261-267

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End of NA Digest

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