**Today's Topics:**

- NA Net List Tops 2000 Names
- Splines in Sailmaking
- New Book by Golub and Ortega
- New Book from SIAM
- The First Annual Large Dense Linear System Survey
- Douglas Arnold Wins Giovanni Sacchi Landriani Prize
- Finite Element Methods for 3D Diffusion Equation
- Shampine/Gordon Integrator in C
- Software for Hypergeometric Function Sought
- Software for Prolate Spheroidal Wave Functions Sought
- Some Remarks on Reciprocal Pythagorean Sums
- The Toeplitz Lectures in Tel Aviv
- Computational Science Workshop at Los Alamos
- Workshop on Symbolic and Numeric Computing, Helsinki
- Kahaner Report from Japan
- SIAM Conference on Applied Linear Algebra
- 2nd Annual Midwest NA day
- CERFACS Short Course
- Contents: IMA Journal of Numerical Analysis

From: Cleve Moler <moler@mathworks.com>

Date: Sun Apr 14 19:55:54 EDT 1991

This week's issue of the NA Net News Digest is being sent

to an electronic mailing list containing 2026 entries.

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

From: George Corliss <georgec@boris.mscs.mu.edu>

Date: Mon, 8 Apr 91 7:43:59 CDT

In last week's NA Digest, Gordon F. Royle

<gfroyle@athena.cas.vanderbilt.edu> asked about applications of

numerical analysis. Readers might be interested in applications of

splines to sailmaking.

Some time ago, I did some consulting for a firm which makes

sails for racing and cruising yachts. At that time (and still

today), workers spread out the sail cloth on a large, soft gym

floor. They use ice picks to constrain long (I saw a 60 footer in

use) fiberglass battens to interpolate as many as 20-30 points with

the desired curve.

My work involved computerizing a portion of the design process

to drive large (6' x 100') flat bed plotters. In some settings, we

used cubic splines to interpolate many points. In other settings,

we wanted to interpolate 3 - 5 points with slopes specified at each

point. We discovered that when the sail was set on the yacht, many

expericenced racing sailors could distinguish between a piecewise

quadratic and a piecewise cubic spline. The sailor could not say

what was different, but the cubic splines produced noticably

"better looking" (and faster) sails.

We also used cubic splines to control the acceleration and

deceleration of the head on the flat bed plotter. The head weighed

20 pounds. It was driven by servo motors using bicycle chains.

The piecewise linear acceleration functions supplied by the plotter

manufacturer burned out several motors before we replaced them with

cubic spline acceleration functions.

My client installed 25 of these plotters in sail lofts around

the world. They contributed to advances in sails for America's Cup

yachts, for example. Before the advent of this plotter technology,

the panels in nearly all sails were horizontal. If you look in a

magazine devoted to yacht racing today, you will see pictures of a

bewildering variety of panel layouts designed for the stress loading

in the sails. By the way, much of the fundamental work to determine the

stress in working sails was hydrodynamics work done by a Danish

physicist for the same firm.

We never published any of this work because of the firm's

desire to maintain a competative advantage, but I do not think this

discussion compromises any trade secrets. By now, it is old news.

George F. Corliss

georgec@boris.mscs.mu.edu

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

From: Gene H. Golub <golub@menusin.inria.fr>

Date: Fri, 12 Apr 91 15:23:20 EMT

Jim Ortega and I have recently revised and updated the 1981 book

"Introduction to Numerical Methods for Differential Equations" by

Ortega and Bill Poole. The revision is being published by Academic

Press under the new title "Scientific Computing and Differential

Equations: An Introduction to Numerical Methods." Academic is

shooting to have the book out by August so it would be available for

fall semester classes. We hope you find this book of interest; we'd

be pleased to hear your constructive comments.

For further information on ordering the book, contact Dave Pallai

at Academic Press, (617)876-3901, cdp!publisher@labrea.stanford.edu.

Gene Golub

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

From: SIAM Publications Department <SIAMPUBS@WILMA.WHARTON.UPENN.EDU>

Date: Fri, 12 Apr 91 14:57 EDT

Title: Mathematical and Numerical Aspects of Wave Propagation Phenomena

Editors: Gary Cohen, Laurence Halpern, Patrick Joly

Series: Proceedings -- #50

No. of Pages: 808, softcover

List Price: $68.00

Description: The first international conference on mathematical and numerical

aspects of wave propagation phenomena was held in Strasbourg, France, from

April 23 to 26, 1991. The conference program covers a broad range of topics,

both from mathematical and physical points of view. The main domain

interest was numerical methods, such as finite difference method (FDM),

finite element method (FEM), spectral methods, etc., for solving wave

equations.

For additional information please contact SIAM, 3600 University City

Science Center, Philadelphia, PA 19104-2688; telephone: 215-382-9800;

fax: 215- 386-7999; e-mail: siampubs@wharton.upenn.edu.

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

From: Alan Edelman <edelman@math.berkeley.edu>

Date: Sat, 13 Apr 91 13:48:05 PDT

This is a second call for responses to the first annual large dense

linear algebra survey from issue 12 of this digest. Those of you

who are solving large dense linear systems of equations for whatever

purpose are invited to stand up and be counted. If you know others

who would not be reading this digest, could you invite them to fill out

the survey?

The form can be readily found in issue 12 of this digest or by anonymous

FTP from math.berkeley.edu in /pub/edelman/survey1991, or by request

to me. Thank you.

-- Alan Edelman

Dept of Mathematics

University of California

Berkeley, CA 94720

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

From: Olof Widlund <widlund@WIDLUND.CS.NYU.EDU>

Date: Sat, 13 Apr 91 16:11:44 -0400

Douglas Arnold wins the First Giovanni Sacchi Landriani Prize

On February 28, the first Giovanni Sacchi Landriani Prize was awarded to

Professor Douglas N. Arnold of the Pennsylvania State University Mathematics

Department. The selection was made by a committee of the Istituto Lombardo,

Accademia di Scienza e Lettere, of Milan Italy.

The Prize honors Dr. Giovanni Sacchi Landriani, a very promising young

Italian numerical analyst, who died tragically in a traffic accident.

Dr. Arnold received the award of 10000000 Italian Lire in recognition of

his work on elasticity, collocation and boundary element methods, mixed

finite element methods and other problems of numerical analysis.

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

From: Andy Pollard <pollard@vissgi.cvrti.utah.edu>

Date: Mon, 8 Apr 91 08:09:49 MDT

Problem description

I have a finite difference program which solves a three-dimensional

modified heat equation of the form,

Du = cdu/dt + g(u,t)

where D is a Laplacian and g(u,t) is a nonlinear source term dependent

on u and t. The computational expense in the problem is associated with

the the calculation of g, which involves numerous complex exponentials

on each iteration in the solution. As one possible way to reduce my grid

size without introducing discretization error, I am interested in

implementing a finite element code to evaluate the Laplacian. Are there

general FEM routines which might be tailored to my application?

Thanks in advance

Andy Pollard (pollard@vissgi.cvrti.utah.edu)

CVRTI - Building 500

The University of Utah

Salt Lake City, UT 84112

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

From: Kathryn Brenan <brenan@aerospace.aero.org>

Date: Mon, 08 Apr 91 09:09:50 -0700

Does anyone know if the Shampine/Gordon integration

software (Adams numerical integration code for ordinary

differential equations) has been rewritten in C? I am

looking a public domain version, before similar work

is undertaken here.

Thanks in advance.

Kathryn Brenan

brenan@aerospace.aero.org

The Aerospace Corporation

M1-172

P.O. Box 92957

Los Angeles, CA 90009-2957

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

From: Tony Lin <lin@na-net.stanford.edu>

Date: Wed, 10 Apr 91 17:09:02 PDT

Does anyone know where I can obtain a fortran subroutine for

calculating the hypergeometric function 2F1(a,b,c;z)? (Not

the confluent case)

Tony Lin

lin@patience.stanford.edu

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

From: Russell Ruby <russ@math.orst.edu>

Date: 11 Apr 91 02:25:25 GMT

Does anyone know of any package (public domain or otherwise)

which can evaluate prolate spheroidal wave functions?

Thanks

Russell Ruby

russ@math.orst.edu

phone (503)-737-5167

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

From: Daniel P. Giesy <dgiesy@scb3.larc.nasa.gov>

Date: Thu, 11 Apr 91 14:13:51 EDT

George Miel, writing in:

defines Reciprocal Pythagorean sums as,

1/sqrt(a*a + b*b) (*)

He then states the

PROBLEM: Find a division-free algorithm for reciprocal Pythagorean sums

with similar properties to the Moler-Morrison procedure, namely, with fast

convergence and no range-reduction nor overflow/underflow for a "large" set of

pairs a,b of machine numbers...

Some thoughts which might be at least a partial solution to Miel's problem:

Without loss of generality, assume a >= b >= 0, and a > 0. For all c>0, let

d = (a*c)**2 + (b*c)**2. Then 1/sqrt(a**2 + b**2) = c/sqrt(d). This may be a

range reduction, but I think it might still serve the need. One problem is to

compute c so that the calculation of d does not experience overflow or

destructive underflow. c = 1/a or 1/(2*a) should accomplish this, but does

require a division. If even one division is unacceptable, then bit-crunching

using the exponent field of a as data should allow one to generate c of about

the correct size (if a = 1.f*2**e, then c might be 1.0*2**(-e-1)). One then

calculates 1/sqrt(d) iteratively as Meil stated in his communication. If the

convergence speed of Moler-Morrison is desired, then "the usual division-free

Newton-Raphson method for 1/sqrt" could be replaced by the iteration

y = x(i)**2

x(i+1) = x(i) + x(i)*(.875 - ([1.25*d] - [.375*d**2]*y)*y)

which converges cubicly to 1/sqrt(d).

Daniel P. Giesy (dgiesy@scb3.larc.nasa.gov)

Lockheed Engineering & Sciences Co., Hampton, VA

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

From: International Linear Algebra Society <MAR23AA%TECHNION@TAUNIVM.TAU.AC.IL>

Date: Tue, 09 Apr 91 08:33:08 IST

THE INTERNATIONAL LINEAR ALGEBRA SOCIETY ( ILAS )

ILAS-NET Message No. 110

CONTRIBUTED ANNOUNCEMENT:

FROM: Israel Gohberg

Tel Aviv University

Raymond and Beverly Sackler Faculty of Exact Sciences

School of mathematical Sciences

The Nathan and Lily Silver Chair

for Mathematical Analysis and Operator Theory

announcing the

TOEPLITZ LECTURES

1991

Tel Aviv, April 24 - May 3, 1991

L. de Brange M.A. Kaashoek

Purdue University, Vrije University,

West Lafayette Amsterdam

H.J Landau L.A. Sachnovich

AT&T Bell Laboratories, Communications Institute

Murray Hill Odessa

Operator Theory Days

Dedicated to the Memory of S.G. Mikhlin

April 29 and 30, 1991

with lecturers

A. Atzmon (Tel Aviv University) L. Lerer (Technion)

P. Bleher (Tel Aviv University) V. Lin (Technion)

I. Feldman (Tel Aviv) M.S. Livsic (Ben Gurion University)

I. Gohberg (Tel Aviv University) V. Matsaev (Tel Aviv University)

N. Krupnik (Bar Ilan University) A. Markus (Ben Gurion University)

A. Lazar (Tel Aviv University) B. Paneyach (Technion)

For further information please contact:

School of mathematical Sciences

Tel Aviv University

Tel Aviv 69978

Israel

E-mail: GOHBERG@TAURUS.BITNET

Tel: 03-5450033, 03-5414570

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

From: Bonnie Yantis <bcy@jarbidge.c3.lanl.gov>

Date: Tue, 9 Apr 91 13:04:20 MDT

Summer 1991

Los Alamos Workshop on Computational Science

May 28 - August 23, 1991

Los Alamos National Laboratory

Los Alamos, New Mexico

Deadline for Application: April 19, 1991

Cost: No charge

The Computing and Communications Division and the Advanced Computing

Laboratory invite you to participate in the Summer 1991 Workshop on

Computational Science.

Full-time immersion workshop, designed to provide advanced education for

high performance computing use in computationally-intensive research, will

address science, computing, and collaboration.

For:

* Scientists and engineers in computer-intensive research fields

* Computer scientists and computer engineers

* Educators in science, engineering, and computing

* Graduate students, recent graduates, and others embarking on careers

in computer-intensive scientific research fields

* Graduate students, recent graduates, and others embarking on careers

in computer science and computer engineering

Seminars in computational science, plus work on computing aspects of their

own research, for ten or fifteen scientists, engineers, and educators from

Los Alamos, research laboratories, and academia, balancing research topics

in sciences, engineering, and computer science to promote an

interdisciplinary exchange.

This workshop provides an interdisciplinary environment for scientists,

engineers, and educators. It is centered on seminars on concepts and

issues in computational science with discussions led by local and visiting

lecturers. Participants work on computing aspects of their own research

and learn how to evaluate computational strategies in the context of their

own discipline by exploring the effects of a variety of architectures on

their own application codes. Participants will be drawn from Los Alamos

National Laboratory, research laboratories, and academia, balancing

research topics in sciences, engineering, and computer science to promote

an interdisciplinary exchange.

Schedule

The full-time workshop will be 12 weeks. Seminars and discussions are

scheduled about a third of the time. The rest of the time is devoted to

aspects of the participant's research. Participants are expected to focus

their efforts on the workshop without the distraction of other projects or

activities outside of their own workshop research.

Seminar Topics

* What is high performance computing?

* Comparative computer architectures and operating systems

* Communications and networks

* Code analysis and optimizations

* Software design

* Scientific computing languages, including Fortran, C, C++, and

Mathematica

* Scientific algorithms, numerical methods, data structures

* Vectorization and parallelization

* Scientific graphics and visualization

* Distributed workstation environments

* Large-scale scientific research and simulations

* Intimate multidisciplinary science collaboration

Cost: No charge.

Deadline for Application: April 19, 1991

Selection of Participants

Ten or fifteen participants will be chosen using the following criteria:

* Working knowledge of Fortran or C and one operating system (e.g.,

UNIX, VMS, CMS, CTSS).

* Computer-intensive research topic and a working application program.

* Balance of research topics in sciences, engineering, and computer

science; and the possibility of interdisciplinary exchanges between

participants.

* Willingness to serve as consultants or models for others interested in

promoting the integration of high performance computing technology

into research.

Computing Facilities

Each participant will be provided with a workstation in a common office

area, consulting, and computer accounts for a variety of systems:

* Cray machines

* Connection Machine CM-2

* Convex C220

* IBM 3090 600E/VF

* Other advanced architecture machines

Scientific workstations available to participants include Sun, Macintosh

II, IBM RISC 6000, and NeXT. High-performance graphics workstations, such

as Ardent Titan, FPS, and SGI 4D/380 GTX, are also available.

For further information, contact:

Ann Solem or Pat Malone

Group C-2, MS B253

Los Alamos National Laboratory

Los Alamos, NM 87544 USA

telephone: (505) 667-5460

FAX: (505) 667-4361

electronic mail: WPCS.LANL.GOV

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

From: Heikki Apiola <apiola@cc.helsinki.fi>

Date: 11 Apr 91 12:30:10 GMT

Workshop on Symbolic and Numeric Computation

Helsinki May 30-31, 1991

ORGANIZING INSTITUTIONS:

Helsinki University Computing Centre

The Rolf Nevanlinna-Institute

CSC (Centre for Scientific Computation)

GENERAL THEMES:

- Computer algebra and some of its applications

- Interaction of Computer Algebra, numerical computation and

scientific visualization

- Applications of Scientific Software and Scientific Computing

OBJECTIVES:

The workshop aims to bring together different computational cultures

represented by the symbol algebra, numerical and graphical software and

matrix-vector language communities. We will try to provide a forum for

exchanging ideas and introducing projects that develop or use some

combination of such tools.

LOCATION, ADDRESS:

Helsinki University Computing Centre

Teollisuuskatu 23

SF-00510 Helsinki

Finland

Tel: +358-0-70851

Fax: +358-0-7084441

A tentative list of speakers and demonstrations

James Davenport, University of Bath (UK)

Jarmo Hietarinta, University of Turku (FI)

Norman Thomson, IBM/Winchester (UK)

Ari Lehtonen, University of Jyv{skyl{

Ken Rimey, Helsinki University of Technology

Esko Valkeila, University of Helsinki

Minaz Punjani, University of London

Lasse Holmstr|m, The Rolf Nevanlinna Institute

Alexei Serebrovski, USSR Acad. of Sci

Victor Kistlerov, USSR Acad. of Sci

Heikki Haario, University of Helsinki and the Kemira company

Heikki Apiola, University of Helsinki and Helsinki University of Technology

Pirkka Peltola, Espoo-Vantaa Institute of Technology

Mika Sepp{l{, University of Helsinki and Academy of Finland

ADDITIONAL INFORMATION:

Heikki Apiola apiola@cc.helsinki.fi

Juha Fagerholm fagerholm@csc.fi

Marko Laine mjlaine@cc.helsinki.fi

Esko Valkeila valkeila@cc.helsinki.fi

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

From: David K. Kahaner <kahaner@xroads.cc.u-tokyo.ac.jp>

Date: 12 Apr 91 15:24:11 GMT

[David Kahaner is a numerical analyst visiting Japan for two-years

under the auspices of the Office of Naval Research-Asia (ONR/Asia).

The following is the professional opinion of David Kahaner and in no

way has the blessing of the US Government or any agency of it. All

information is dated and of limited life time. This disclaimer should

be noted on ANY attribution. Copies of previous reports written by Kahaner

can be obtained from host cs.arizona.edu using anonymous FTP.

-- Rick Schlichting <rick@arizona.edu>]

Advances in Numerical Methods for Large Sparse Sets of Lin Eqs.

12 April 1991

ABSTRACT. Titles of papers presented at "Advances in Numerical Methods

for Large Sparse Sets of Linear Equations", Keio University, 1 March

1991 are given.

These papers were presented in Japanese. However some papers are

available in English. For information about these contact the organizer,

Dr. Takashi Nodera

Dept of Mathematics

Keio University

3-14-1 Hiyoshi Kohoku

Yokohama 223 Japan

Tel: +81-44-63-1141 ext 3762

Email: NODERA@MATH.KEIO.AC.JP

The first three papers, about special function properties are from

U-Tsukuba. That group is led by

Professor Yasuhiko Ikebe

Institute of Information Sciences and Electronics,

University of Tsukuba,

Tsukuba City, Ibaraki 305.

Tel: +81 298-53-5535 (O), -5187 (S)

Email: IKEBE@GAMA.IS.TSUKUBA.AC.JP

Interesting work on extensions of conjugate gradient are being done by

Dr. Shun Doi

Information Basic Res.Lab.,

C&C Information Tech.Res.Labs.,

NEC Corporation,

4-1-1, Miyazaki, Miyamae-ku, Kawasaki 213, Japan

DOI@IBL.CL.NEC.CO.JP

who is an author of two papers presented here.

PAX is one of the longest running distributed memory projects in Japan

(since 1970s), and one of the few machines in the world for performing

quantum chromodynamics (another is at Columbia). Algorithms for linear

equations on PAX are described by a student of

Professor Yoshio Oyanagi

Institute of Information Sciences

University of Tsukuba

Tennodai 1-1-1, Tsukuba, 305, Japan

Tel: +81 298-53-5518, -5449, Fax: +81 298-53-5206

Email: OYANAGI@IS.TSUKUBA.AC.JP

Oyanagi will be moving to the University of Tokyo this year, but this

address should be usable for a while.

PCG Symposium Keio University (March 1st, 1991)

(1) The Numerical Solution of xJ'_m(x)+HJ_m(x)=0, where

m > -1 and m > M.

Nobuyoshi Asai(College of information Science, University of Tsukuba)

(2) The Numerical Computation of Zero of Bessel Function

of Order < -1

Kouichi Takanashi(College of Information Science, Univ of Tsukuba)

(3) Solving J_k(x) = e and J''_k(x)= 0 for a Given e > 0 and k > 1.

Minoru Harada(College of Information Science, University of Tsukuba)

(4) Evaluating the Bi-CGSTAB Algorithm, Vorst's New Iterative Method

for Nonsymmetric Systems

Hiroshi WATANABE(NEC Scientific Information System Development Corp.)

Email: H-WATABE@NSIS86.CL.NEC.CO.JP

Shun DOI(C&C Information Technology Research Laboratories, NEC Corp.)

Email: DOI@IBL.CL.NEC.CO.JP

(5) Direct QR Method for finding the Approximate

estimates of large dense symmetric matrices

Yoshitaka Beppu (Shotoku Gakuen Women's College)

Unpei Nagashima (Institute for Molecular Science)

(6) The Effectiveness of Gustafsson's Modification for

Parallel Ordered ILU Preconditioning

Shun DOI(C&C Information Technology Research Laboratories, NEC Corp.)

Email: H-WATABE@NSIS86.CL.NEC.CO.JP

(7) Modified Incomplete Decomposition Method for a Time Dependent Problem

Seiji Fujino(Institute of Computational Fluid Dynamics)

(8) Gauss Elimination on the Distributed Memory Parallel Computer PAX

Kimio Takahashi(Institute Information Science, University of Tsukuba)

(9) Conjugate Residual Method for Solving Singular Systems

Shaoling Zgang(Institute of Computational Fluid Dynamics)

Seiji Fujino(Institute of Computational Fluid Dynamics)

Yoshio Oyanagi(Institute of information Science, University of Tsukuba)

(10) Reorthoginalization in the Block Lanczos Method

Hiroko IGUCHI ( Institute of Information

Makoto Natori Science and Electronics,

Hitoshi IMAI University of Tsukuba)

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

From: SIAM Conferences Department <SIAMCONFS@WILMA.WHARTON.UPENN.EDU>

Date: Fri, 12 Apr 91 15:06 EDT

SIAM Conference on Applied Linear Algebra

September 11-14, 1991, Minneapolis, Minnesota

Dear Colleague:

Just a friendly reminder...... the deadline for submission of

abstracts for presentation at the SIAM Conference on Applied

Linear Algebra is April 19. You can submit your abstracts

(approximately 100 words in length) by

fax to: 215-386-7999

e-mail to: siamconfs@wharton.upenn.edu

phone to: 215-382-9800

Include title of presentation, preference (15-minute lecture

format, or poster presentation), full name and affiliation

(speaker and coauthors), and name of conference.

We look forward to your participation. See you in Minneapolis.

Richard A. Brualdi

Conference Chair

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

From: Steven Lee <slee@csrd.uiuc.edu>

Date: Sat, 13 Apr 91 09:30:47 CDT

SECOND ANNOUNCEMENT

for the

2nd Annual Midwest NA Day

CALL FOR PRESENTERS

Location: Champaign-Urbana, IL

Digital Computer Laboratory

1304 W. Springfield Ave, Urbana

Date: Saturday, May 11 1991

8:30AM - 4:30PM

The 2nd Annual Midwest NA Day is scheduled for Saturday, May 11 1991

on the University of Illinois, Urbana-Champaign campus. The first NA

Day was held in April of last year to take special note of the

retirement of Bill Gear from the University of Illinois. This year,

the conference coincides with the May graduation ceremonies in which

Gene Golub is to receive an honorary doctorate from the University.

This is an informal conference with an emphasis on scheduling a

variety of talks from speakers with interests in numerical analysis

and scientific computing. Bill Gear and David Young are two examples

of old friends of Gene's who have already agreed to give talks.

Those who wish to be included on the electronic mailing list for news

on this event (schedule information, travel directions, etc.) should

send email to:

naday@martini.cs.uiuc.edu

For those who plan to attend and are also interested in giving a

20-minute or 40-minute presentation, please send the title and a brief

abstract of your proposed talk to the e-mail address listed above.

Organizers: Paul Saylor, Robert Skeel, Faisal Saied, Ahmed Sameh,

Michael J. Holst and Steven Lee

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

From: Iain Duff <ISD%IBM-B.RUTHERFORD.AC.UK@pucc.PRINCETON.EDU>

Date: Sun, 14 Apr 91 08:32:03 BST

FINAL REMINDER

CERFACS

(European Centre for Research and Advanced Training in Scientific Computation)

will hold

A three-day advanced short course

on

An Introduction to Parallel Computing

Monday 22nd April - Wednesday 24th April 1991

in

Toulouse, France

The course is aimed at scientists in industry and academia who wish to

learn about parallel computing and familiarize themselves through hands-on

experience with a range of parallel computers.

On the first day, some introductory lectures on vector and parallel

architectures will be followed by a more detailed description of the

parallel computers available to students on the course. These will include

a BBN TC2000, an Alliant FX/80 and FX/2812, a TMC Connection Machine CM-2,

an INTEL hypercube, a CRAY 2 and an IBM 3090/VF.

The second day will examine techniques for programming these machines and

tools available to assist in their use. These lectures will be followed by

a discussion of basic numerical algorithms and software.

The final day will address more large scale computing on such

architectures, including the solution of sparse equations, and will provide an

opportunity for students to run their own codes on the machines.

Throughout the course, there will be a strong emphasis on hands-on

experience and it is the intention that students will finish the course

with a basic knowledge of parallelism and how to appreciate, compare, and

use a range of different parallel architectures.

Lecturers include: Amestoy, Arioli, De Roeck (CERFACS), Dongarra (ORNL and

Tennessee), Duff (RAL, CERFACS, and Strathclyde), Jalby (IRISA and Rennes),

Levine (Argonne), Ruiz and Valdettaro (CERFACS).

Contact

Dominique BENNETT

CERFACS

42 Ave Gustave Coriolis

31057 TOULOUSE Cedex

FRANCE

Tel : (33) 61 07 96 96

Fax : (33) 61 07 96 13

EMail : bennett@orion.cerfacs.fr

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

From: Iain Duff <ISD%IBM-B.RUTHERFORD.AC.UK@pucc.PRINCETON.EDU>

Date: Sun, 14 Apr 91 08:33:40 BST

The contents of the current issue of the IMA Journal of Numerical

Analysis are given below.

IMA JOURNAL OF NUMERICAL ANALYSIS - VOLUME 11, NUMBER 2

The first five papers were presented in the minisymposium on Numerical

Analysis at the IMA Silver Jubilee Conference at Cambridge in September 1989.

C T H Baker and N J Ford Some applications of the boundary locus

method and the method of D-partitions.

M G Cox and P M Harris The approximation of a composite Bezier

cubic curve by a composite Bezier quadratic

curve.

I S Duff, N I M Gould, The factorization of sparse symmetric

J K Reid, J A Scott, and indefinite matrices.

K Turner

A Iserles Complex dynamics of convergence

acceleration.

K W Morton and E Suli Finite volume methods and their analysis.

R C Mittal and S Gahlaut High-order finite-difference schemes to

solve Poisson's equation in polar

coordinates.

Gh Adam and A Nobile Product integration rules at Clenshaw-Curtis

and related points: a robust implementation.

J R Dormand, Corrigendum: High -order embedded

M E A El-Mikkawy and Runge-Kutta-Nystrom formulae.

P J Prince (Original paper in Vol 7, 423-430)

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

End of NA Digest

**************************

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