NA Digest Sunday, February 18, 2001 Volume 01 : Issue 07

Today's Editor:
Cleve Moler
The MathWorks, Inc.

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From: Paul Dabrowski <>
Date: Mon, 12 Feb 2001 11:57:34 +1030 (CST)
Subject: Derivatives to Non-Integer Exponent

Hello Colleagues

Iam trying to obtain a solution to a boundary-layer flow of a fluid
modelled by a power-law constitutive relation. The governing eqn is
of the form:
(du/dy)^(N-1)*(d2u/dy2) + F(x,y,u,du/dx,du/dy) = 0
with BCs: u=0 on y=0 & u->1 as y->oo.
This eqn is discretized and solved on a uniform mesh. However, in
the far-field as u->1 the term du/dy->0 and eventually becomes zero.
For values for the fluid index N<1 the numerical scheme stops because
the computer is not capable of handling such numbers.

I would be interested in any directions/hints for handling such
eqns numerically; I presume that such eqns have arisen in other
contexts and have been solved. A cursory literature search has
not been very helpful so far.

Thanks in advance
Paul Dabrowski


From: Mark Friedman <>
Date: Mon, 12 Feb 2001 19:56:10 -0600
Subject: Solving Nonlinear Equations in MATLAB

Dear colleagues,

MATLAB uses function fzero to solve nonlinear equations,
fzero fails at double roots (of even multiplicity, in general).
Does anybody has a better MATLAB code for solving nonlinear equations?

Thank you,
Mark Friedman


From: Domenico Talia <>
Date: Mon, 12 Feb 2001 16:09:22 +0100
Subject: Special Issue of Parallel Computing

Call for Papers

Data-intensive applications are those that explore, query, analyze, visualize,
in general, manipulate very large scale data sets. Data-intensive applications
can benefit of the use of parallel and distributed computing systems both to
improve performance and quality of data analysis. When data-intensive
algorithms, applications and tools are implemented on high-performance
computers, they can analyze massive databases in a reasonable time.
Faster processing also means that users can experiment with more models
to understand complex data. High performance makes it practical for
users to analyze greater quantities of data.
Both the size of the data available and the complexity of the algorithms
required for concept extraction suggest that high-performance parallel
and distributed computing has an important role to play. In particular,
when very large data sets must be analyzed and manipulated, parallelism
is the only possibility if accuracy must be assured. On the other hand,
distributed techniques are necessary to handle
geographically distributed data repositories. This special issue offers the
opportunity to present and discuss problems and report both theoretical and
practical solutions in the area, to identify new ideas, and to shape future
directions for research.
Areas of interest include, but are not limited to:

- Parallel data-intensive algorithms;
- Data mining of very large data sets and Web mining;
- Large data warehousing and OLAP;
- Data-intensive grid systems and applications;
- Programming models for parallelization of data-intensive applications;
- Parallel data fusion;
- Data-intensive visualization;
- Parallel data reduction techniques;
- Data representation and storage for fast access.

Please submit your manuscript electronically (pdf or ps files) to either of
the guest editors by February 28, 2001:

Domenico Talia Pradip K. Srimani
ISI-CNR Dept. of Computer Science
Via P. Bucci, cubo 41-C Clemson University
8036 Rende (CS), Italy Clemson, SC 29634, USA
Voice: +39 (984) 831725 Voice: (864) 656-7552
Fax: +39 (984) 839054 Fax: (864) 656-0145
Email: Email:


From: Allison Bogardo <>
Date: Tue, 13 Feb 2001 13:51:32 -0500
Subject: SIAM Activity Group on Control and Systems Theory Prize


The SIAG/CST Prize

The SIAM Activity Group on Control and Systems Theory will present the
award at the SIAM Conference on Control and Its Applications,
July 12-14, in San Diego. The prize, the second to be given, is
awarded to a young researcher for outstanding research contributions,
as determined by the prize committee, to mathematical control or
systems theory. The contributions must be contained in a paper or
papers published in English in peer-reviewed journals.


The awardee's work must be a significant research contribution to the
mathematical theory of systems and control, as commonly defined in the
mathematical and engineering literature. At least one of the papers
containing this work must be published in English in a peer-reviewed
journal, bearing a publication date within the award period, and such
that at least one of the following two requirements is met at the
publication date: either (1) the author is not more than 35 years old,
or (2) not more than six years have elapsed since the author received
a Ph.D. or equivalent degree.

Description of Award

The award consists of a plaque and a certificate containing the
citation. The awardee is expected to attend the award ceremony and to
present the award-winning work at the meeting.


Nominations including a copy of the nominated paper(s) should be sent by
February 28, 2001 to:

Professor Mary Ann Horn
Chair, SIAG/CST Prize Selection Committee
c/o A. G. Bogardo
3600 University City Science Center
Philadelphia, PA 19104
Telephone: 215-382-9800
Fax: 215-386-7999

Selection Committee

The members of the selection committee for the award are Mary Ann
Horn, Chair (Vanderbilt University);Marc Q. Jacobs (Air Force Office of
Scientific Research); Daniel E. Koditschek (University of Michigan);
Arthur J. Krener (University of California, Davis); and Steven I. Marcus
(University of Maryland).


From: Allison Bogardo <>
Date: Wed, 14 Feb 2001 06:19:37 -0500
Subject: Call for Nominations, Wilkinson Prize

Call for Nominations
The James H. Wilkinson Prize
in Numerical Analysis and Scientific Computing

SIAM will present the James H. Wilkinson Prize in Numerical Analysis
and Scientific Computing at the SIAM Annual Meeting in San Diego,
July 9-13, 2001.


The prize, established in 1979, is awarded for research in, or other
contributions to, numerical analysis and scientific computing during
the six years preceding the award. The purpose of the prize is to
stimulate younger contributors and to help them in their careers.

Description of the Award

The prize will consist of a hand-calligraphed, framed certificate and
a cash award of $1,000 plus travel expenses to the meeting. The
recipient is requested to present a lecture as part of the prize


A letter of nomination should be sent by February 28, 2001, to:

Wilkinson Prize Selection Committee
Dr. Andrew M. Stuart, Chair
c/o A. G. Bogardo
3600 University City Science Center
Philadelphia, PA 19104-2688
Telephone: 215-382-9800
Fax: 215-386-7999

Selection Committee

The members of the selection committee for the award are Andrew M.
Stuart, Chair (University of Warwick, United Kingdom); Marsha J.
Berger (Courant Institute of Mathematical Sciences, New York
University); and Henk van der Vorst (Utrecht University, The


From: Allison Bogardo <>
Date: Wed, 14 Feb 2001 06:20:28 -0500
Subject: W.T. and Idalia Reid Prize


The Reid Prize

SIAM will present the W.T. and Idalia Reid Prize at the 2001 SIAM
Annual Meeting at the Town and Country Hotel in San Diego, July 9-13.
The award will be given for research in, or other contributions
to, the broadly defined areas of differential equations
and control theory. The prize may be given either for a single
notable achievement or for a collection of such achievements.


The prize is awarded to any member of the scientific community who
meets the general guidelines of the prize description above.

Description of Award

The award consists of an engraved medal and a $10,000 cash prize, plus
travel expenses to attend the prize ceremony.


A letter of nomination, including a description of achievement(s)
should be sent by February 28, 2001 to:

Professor John A. Burns
Chair, Reid Prize Selection Committee
c/o A. G. Bogardo
3600 University City Science Center
Philadelphia, PA 19104-2688
Telephone: (215) 382-9800
Fax: (215) 386-7999

Selection Committee

Members of the selection committee are John A. Burns, Chair (Virginia
Institute of Technology and State University); Ruth F. Curtain
(University of Groningen); James G. Glimm (State University of New
York at Stony Brook); John Guckenheimer (Cornell University); and
Arthur J. Krener (University of California, Davis).


From: Vladik Kreinovich <>
Date: Sun, 11 Feb 2001 18:08:47 -0700 (MST)
Subject: Conference in Novosibirsk in Honor of N. N. Yanenko

In a recent message about
International Conference
Theory, Experiment and Practice
dedicated to the 80th anniversary of N.N.Yanenko
Novosibirsk, Russia, June 24-29, 2001
there was a typo in URL.
The correct URL is
For English version, see


From: Martin Homer <>
Date: Mon, 12 Feb 2001 12:02:09 +0000
Subject: Conference in Bristol on Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos: where should we go from here?

Friday 8th June to Sunday 10th June 2001,
University of Bristol, UK

The aim of the meeting is to allow the next generation of nonlinear
scientists to find an agenda for research directions of the future,
focussed on three key themes

Neural systems,
Spatially extended systems and pattern formation,
Applications to biology, physics and engineering.

Confirmed speakers are

Paul Bressloff (Utah, USA)
Bard Ermentrout (Pittsburgh, USA)
Jack Cowan (Chicago, USA)
John Guckenheimer (Cornell, USA)
Edgar Knobloch (Leeds, UK)
Yoshiki Kuramoto (Kyoto, Japan)
Uwe An der Heiden (Witten, Germany)
Robert McKay (Warwick, UK)
Chris Jones (Brown, USA)
Tom Mullin (Manchester, UK)
William Ditto (Georgia Tech, USA)
Raj Roy (Maryland, USA)
Art Winfree (Arizona, USA)
Matthias Fink (ESPCI, France)

We are delighted that John Casti (Santa Fe Institute), author of `Five
Golden Rules', and many other popular scientific volumes, has agreed to
give a Public Lecture, sponsored by the Colston Research Society.

The structure of the meeting will be talks of 45 minutes duration with
lots of time for discussion; there will be no parallel sessions. Each
main speaker is invited to give a talk that reflects on what their field
has learnt from the explosion of interest in nonlinear dynamics and what
needs to be learnt. All other participants will be required to present a
poster on their work and to relate it to the theme of the meeting Where
should we go from here?. It is our intention that there will be
provocative interaction between the invited speakers, and that this will
provide an inspiring experience for the generation of young scientists
who attend.

This will be an intense specialist meeting with approximately 70 people
attending; participation will be by invitation only. Since one of the
aims of the meeting is to inform debate amongst the next generation of
scientists, priority will be given to current PhD students or those who
have completed their PhD since 1990, although we welcome applications
from anyone who is interested. Applications to attend are now invited;
the closing date is 30 March 2001.

For further information, and to apply, please visit the conference
website at

The organizing committee gratefully acknowledges the support of the
Colston Research Society and EPSRC.


From: C. Freitas <>
Date: Tue, 13 Feb 2001 16:13:57 CST
Subject: Session on Parallel Computing at ASME Congress

FIRST CALL FOR PAPERS - Forum on Parallel Computing Methods VI

The American Society of Mechanical Engineers (ASME) is holding its 2001
International Mechanical Engineering Congress & Exposition (IMECE) on
November 11-16, 2001 at New York Hilton Hotel & Towers, New York, New York.
As part of this Congress, the Fluids Engineering Division is organizing the
Forum on Parallel Computing Methods VI. This is the sixth annual forum on
Parallel Computing held at IMECE and has been a very successful series of
paper sessions. Again, papers are solicited on all aspects of parallel
computing methodology, including new and innovative methods. Papers on
parallel strategies for shared and distributed memory architectures,
heterogeneous clusters of workstations (NOW) and PCs, as well as Grid
Computing studies are sought. Of particular interest are papers discussing
applications of parallel algorithms and the effective use of parallel
computing methods in industrial applications.

Information on this Forum and the IMECE may be found at
Paper abstracts are due to the organizers by March 30, 2001 and may be
submitted digitally or by hardcopy format.
Notification of abstract acceptance is by April 6, 2001, and the final paper
is due to the organizers by June 29, 2001.
Please submit your abstract to or for further information contact:

Dr. Christopher J. Freitas
Principal Engineer - Computational Mechanics
Southwest Research Institute
6220 Culebra Road
San Antonio, Tx 78238-5166
Voice: 210-522-2137, Fax: 210-522-6290


From: C. H. Lai <>
Date: Fri, 16 Feb 2001 12:19:59 +0000
Subject: Workshop in Greenwich on Domain Decomposition Methods

A three day LMS Workshop on Domain Decomposition Methods in Fluid Mechanics
will be held at the University of Greenwich - Maritime Greenwich Campus
during 5th - 7th September 2001. The organisers are Dr C.-H. Lai,
Professor M. Cross, Professor K.A. Pericleous, Professor A.K. Parrott.

The workshop intends to bring graduate students, researchers and industrialists
to a 3-day meeting at Greenwich in order to disseminate the state-of-the-art
domain decomposition methods applied to various engineering problems related
to fluid mechanics. The workshop may be served as a short intense course
for graduate students who will be exposed to review and overview lectures
and current research interests and results.
Further information of the workshop and contacts may be found in

Some scholarships, covering accommodation and meals, are available to
graduate students with priority given to those participants from UK mathematics

Inivited speakers:
Dr C. Bailey (University of Greenwich),
Professor X.-C. Cai (University of Colorado, Boulder),
Professor M. Garbey (Universite de Lyon 1),
Professor I.G. Graham (University of Bath),
Professor G. Lube (Universitat Goettingen),
Professor F. Nataf (Ecole Polytechnique)


From: Meshfree Methods <>
Date: Fri, 16 Feb 2001 15:06:06 +0100
Subject: Workshop in Bonn on Meshfree Methods for PDEs

International Workshop
Meshfree Methods for Partial Differential Equations
Bonn, Germany
September 11 - 14, 2001


Prof. Ivo Babuska (University of Texas, Austin, USA)
Prof. Michael Griebel (Universitaet Bonn, Germany)
Prof. Wing Kam Liu (Northwestern University, USA)
Prof. Helmut Neunzert (Fraunhofer-Institut ITWM, Germany)
Prof. Harry Yserentant (Universitaet Tuebingen, Germany)

Important Dates and Deadlines:
May 1, 2001 Early Registration and Abstract submission
August 1, 2001 Confirmation and Program

Meshfree methods for the solution of partial differential equations
gained much attention in recent years, not only in the engineering but
also in the mathematics community. One of the reasons for this
development is the fact that meshfree discretizations and particle
models are often better suited to cope with geometric changes of the
domain of interest, e.g. free surfaces and large deformations, than
classical discretization techniques such as finite differences, finite
elements or finite volumes. Another obvious advantage of meshfree
discretizations is of course their independence of a mesh. Mesh
generation is still the most time consuming part of any mesh based
numerical simulation. Since meshfree discretization techniques are based
only on a set of independent points these costs of mesh generation are
eliminated. Finally, the coupling of particle models to continuous
models gained enormous interest in recent years from a theoretical as
well as from a practical point of view.

Among the most prominent meshfree discretization techniques are:

stochastic particle models,
smoothed particle hydrodynamics,
reproducing kernel particle methods,
partition of unity methods,
radial basis functions,
vortex methods.

The aim of the workshop is to bring together european and american
researchers from different fields-inside and outside mathematics-not
only to strengthen the mathematical understanding and analysis of
meshfree discretizations but also to promote the exchange of ideas on
their implementation and application.

Topics of interest in the workshop are:

analysis of meshfree methods,
implementational issues of meshfree methods,
coupling of particle models to continuous models,
industrial applications of meshfree methods.

The four day workshop program will consist of invited lectures,
contributed papers and poster sessions.

If you are interested in contributing to this workshop, please submit an
abstract of about 300 words by e-mail to the contact address by May 1, 2001.


From: Linda Petzold <>
Date: Tue, 13 Feb 2001 10:32:29 -0800
Subject: Faculty Position at University of California Santa Barbara

Faculty Position
Computational Science and Engineering
University of California, Santa Barbara

The College of Engineering at the University of California, Santa Barbara
is in the process of developing a multidisciplinary college-wide program in
Computational Science and Engineering (CSE). An objective of the CSE
program is to build strengths in the core areas of numerical methods,
algorithms and software tools for scientific computation, high performance
computing and communications, and scientific visualization, as well as to
establish collaborative linkages in the applied areas of CSE such as
computational fluid dynamics, quantum computation, nanoelectronics, control
systems, computational materials, etc.

Applications are invited from outstanding candidates at the senior level.
Candidates should have established an international reputation in an area
within the broad framework of the program, and a track record of
interdisciplinary collaboration.

Please send a complete application consisting of a curriculum vita and the
names and addresses of at least four professional references to: Search
Committee in Computational Science and Engineering, Dean's Office, College
of Engineering, Engineering I Bldg., Room 1038, University of California,
Santa Barbara, CA 93106. Applications and nominations will be received
until the position is filled. UCSB is an equal opportunity, affirmative
action employer.


From: Andrea Toselli <>
Date: Fri, 16 Feb 2001 14:06:27 +0100 (CET)
Subject: PhD Position at ETH Zuerich

"Implementation and analysis of domain decomposition preconditioners
for hp finite element approximations"

The Seminar for Applied Mathematics, ETH Zentrum, is seeking a highly
qualified candidate for a position as Ph.D. student in Computational
Science or Mathematics. The position is for three years starting as
soon as April 2001, but no later than September 2001.

The aim of the Ph.D. project is to develop and implement various types of
domain decomposition preconditioners in two and three dimensions, using
an already available library for hp finite element approximations, first
on a serial machine and then on the ETH-Beowulf 250 node LINUX cluster ASGARD.
Students with stronger mathematical interests can be involved in the
analysis of the methods as well.

The successful candidate must hold a Diploma in Applied and
Computational Mathematics, Electrical Engineering, or Computer
Science, and have good experience in Fortran, C, or C++
programming. Some experience in large scale numerical computation
or parallel programming is desirable, but is not necessary.
Knowledge of German is not expected a-priori.

To apply for this position, please submit your curriculum vitae (complete
with contact information including telephone and fax numbers and e-mail
address), description of your interests, skills, and programming experience,
and the name and complete addresses of three persons willing to
write letters of reference. Electronic applications are welcome.

"Domain Decomposition Project"
c/o Mrs Pfister
Seminar of Applied Mathematics
ETH Zuerich
Raemistrasse 101
8092 Zuerich


For more information about the position and our Department see or contact Dr. Andrea Toselli


From: Yuriko Renardy <>
Date: Fri, 16 Feb 2001 14:44:32 -0500 (EST)
Subject: Postdoctoral Position at University of Vermont

Postdoctoral research associate sought to work on NSF funded project.
The research concerns 3D transient numerical investigation
of interfacial deformation and breakup for multiphase flows. Novel
volume-of-fluid algorithms are devised and modified.
Appointment is for two years. Applicant must have a PhD and research
experience in computational science and fluid dynamics, programming in
Fortran and C, and more specifically, experience in VOF methods applied
to viscous/viscous flows. Enquiries should include a vitae, email to


From: Vladik Kreinovich <>
Date: Mon, 12 Feb 2001 14:53:28 -0700 (MST)
Subject: Contents, Reliable Computing

Reliable Computing
Volume 7, issue 3, 2001


Mathematical Research

On Bounding Solutions of Underdetermined Systems
Michael A. Wolfe

On The Theory of Error Control Based on Moduli with Common Factors
Andraos Sweidan, Amman, Jordan, Ahmad A. Hiasat

Robust Control Using Interval Analysis
Vladimir N. Shashikhin

Reliable Minimax Parameter Estimation
Luc Jaulin

Spigot Algorithm and Root Computing
Dang-Khoa Do

Short Communication

A Comment on the Shape of the Solution Set for Systems of Interval
Linear Equations with Dependent Coefficients
Goetz Alefeld, Vladik Kreinovich, Guenter Mayer, Michael Huth


Interval talks at the

Reliable Computing
Volume 7, issue 4, 2001

Mathematical Research

Synchronous and Asynchronous Interval Newton-Schwarz Methods for a
Class of Large Systems of Nonlinear Equations
Hartmut Schwandt

Validated Bounds for Taylor Coefficients of Analytic Functions
Markus Neher

Computer Implementation

Automatic Forward Error Analysis for Floating Point Algorithms
Walter Kraemer, Armin Bantle


Interval Methods in Non-Destructive Testing of Material Structures
Keith Worden, Roberto Osegueda, Carlos Ferregut, Soheil Nazarian,
Debra L. George, Mary J. George, Vladik Kreinovich, Olga Kosheleva,
Sergio Cabrera


From: Kendall Atkinson <>
Date: Fri, 16 Feb 2001 14:07:25 -0600 (CST)
Subject: Contents, Journal of Integral Equations and Applications

WINTER 2000, Volume 12, Number 4

1. Asymptotic Error Analysis of a Quadrature Method for Integral Equations
with Green's Function Kernels
By William F. Ford, James A. Pennline, Yuesheng Xu and Yunhe Zhao

2. On a Boundary Integral Method for the Solution of the Heat Equation in
Unbounded Domains with a Nonsmooth Boundary
By Olaf Hansen

3. Upper and Lower Bounds for Solutions of Nonlinear Volterra Convolution
Integral Equations with Power Nonlinearity
By Nikolai K. Karapetyants, Anatoly A. Kilbas, Megumi Saigo and
Stefan G. Samko

4. Boundedness of the Global Error of Some Linear and Nonlinear Methods
for Volterra Integral Equations
By Antonia Vecchio


End of NA Digest