NA Digest Monday, April 7, 2008 Volume 08 : Issue 14

Today's Editor:
Tamara G. Kolda
Sandia National Labs
tgkolda@sandia.gov

Submissions for NA Digest:

Mail to na.digest@na-net.ornl.gov

Information via email about NA-NET:

Mail to na.help@na-net.ornl.gov

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From: Joel Malard <malardj2002@yahoo.com>
Date: Sun, 30 Mar 2008 23:52:24 -0500
Subject: Question about softare perturbation analyses

Prof. Bill Kahan in section 14 of his paper "mindless", describes a way to
bracket code fragments that are hyper-sensitive to round-off errors. To my
understanding, the method is a sensitivity analysis done by applying small
(functional) perturbations to the computation, instead of the data, details:

http://www.eecs.berkeley.edu/~wkahan/Mindless.pdf

I would be interested to know of numerical applications or techniques where
perturbations are applied to the computation or to the data to locate
algorithmic or software issues that cannot be located by looking at a
continuous gradient. This is an open ended question.

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From: "Nicholas J. Higham" <Nick.Higham@manchester.ac.uk>
Date: Sat, 5 Apr 2008 17:13:28 +0100 (BST)
Subject: Release of NLEVP: A Collection of Nonlinear Eigenvalue Problems

We are pleased to announce the release of this MATLAB Toolbox
providing a collection of nonlinear eigenvalue problems:

http://www.mims.manchester.ac.uk/research/numerical-analysis/nlevp.html

It contains problems from models of real-life applications as well as
problems constructed specifically to have particular properties. The
collection is fully documented in the technical report available at

http://eprints.ma.man.ac.uk/1071/

The collection is intended to grow and contributions are welcome; see
the report for details of how to contribute.

Timo Betcke (The University of Manchester)
Nick Higham (The University of Manchester)
Volker Mehrmann (Technische Universitat Berlin)
Christian Schroeder (Technische Universitat Berlin)
Francoise Tisseur (The University of Manchester)

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From: Omar Ghattas <omar@ices.utexas.edu>
Date: Fri, 4 Apr 2008 07:42:01 -0500
Subject: Webcast: ICES/TACC Lecture on Petascale Simulation, April 10, 2008

The following webcast should be of interest to many NA Digest readers:

Distinguished Lecture Series on Petascale Simulation
Institute for Computational Engineering and Sciences (ICES)
Texas Advanced Computing Center (TACC)
The University of Texas at Austin

Title: "The Greening of HPC - Will Power Consumption Become the Limiting
Factor for Future Growth in HPC?"

Speaker: Dr. Horst D. Simon, Associate Laboratory Director for Computing
Sciences, Lawrence Berkeley National Laboratory

Abstract: See http://www.tacc.utexas.edu/petascale

Date: Thursday, April 10, 2008
Time: 3:30 to 5:00 p.m. U.S. Central Daylight Time (UTC -5 hours)
Live Webcast: http://www.tacc.utexas.edu/petascale

Note: viewing the webcast requires installing a browser plug-in, which
shouldn't take more than a minute to do. Please see the website above for
instructions. Webcasts of previous lectures in this series are archived on the
website.

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From: Bruce Bailey <bailey@siam.org>
Date: Fri, 4 Apr 2008 16:22:56 -0500
Subject: New book, Functions of Matrices: Theory and Computation

Announcing the March 26, 2008 publication of:
Functions of Matrices: Theory and Computation
by Nicholas J. Higham

2008 / xx + 425 pages / Hardcover / ISBN 978-0-898716-46-7
List Price $59.00 / SIAM Member Price $41.30 / Order Code OT104

The only book devoted exclusively to matrix functions, this research
monograph gives a thorough treatment of the theory of matrix functions and
numerical methods for computing them. The authors elegant presentation
focuses on the equivalent definitions of f(A) via the Jordan canonical form,
polynomial interpolation, and the Cauchy integral formula, and features an
emphasis on results of practical interest and an extensive collection of
problems and solutions.

This book is for specialists in numerical analysis and applied linear
algebra as well as anyone wishing to learn about the theory of matrix
functions and state of the art methods for computing them. It can be used
for a graduate-level course on functions of matrices and is a suitable
reference for an advanced course on applied or numerical linear algebra.

Nicholas J. Higham, FRS, is Richardson Professor of Applied Mathematics at
The University of Manchester, UK. He is the author of more than 100
publications and of the books Accuracy and Stability of Numerical Algorithms
(SIAM, 2nd ed., 2002), Handbook of Writing for the Mathematical Sciences,
(SIAM, 2nd ed., 1998), and MATLAB Guide, (with Desmond J. Higham, SIAM, 2nd
ed., 2005).

For ordering or more information, please visit www.siam.org/books.

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From: Antonio Molina <amolina@addlink.es>
Date: Fri, 4 Apr 2008 02:39:54 -0500
Subject: COMSOL Multiphysics Seminars and courses in Spain, Apr 2008

COMSOL and Addlink are happy to invite you to our free multiphysics modeling
seminars in Madrid, Bilbao and San Sebastin on April 9, 24-25. The events
features a live demo as well as a computer session where you can try the tool
firsthand. Join us for this opportunity to discover COMSOL Multiphysics, and
to get a look at our latest release, version 3.4.

* Wednessday, April 9 - Madrid (Seminar)
Registration: http://www.addlink.es/productos.asp?pid=740

* Thursday, April 24 - Bilbao (Workshop)
Registration: http://www.addlink.es/productos.asp?pid=744

* Friday, April 25 - San Sebastin (Workshop)
Registration: http://www.addlink.es/productos.asp?pid=745

For new customers and experienced users we also arrange 2 days of intense
product training with modeling skills development in Madrid on April 22-23.

* Tuesday, April 22 - Madrid (Training)
Introduction to COMSOL Multiphysics
Registration: http://www.addlink.es/productos.asp?pid=742

* Wednesday, April 23 - Madrid (Training)
COMSOL Multiphysics Advanced Features
Registration: http://www.addlink.es/productos.asp?pid=743

Choose the date and location that fits your schedule, and reserve your seat today!

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From: Greg Fasshauer <fasshauer@iit.edu>
Date: Tue, 1 Apr 2008 12:34:26 -0500
Subject: Midwest Numerical Analysis Day, Minneapolis, May 2008

The April 18 registration deadline for the 2008 Midwest Numerical Analysis
Day is approaching rapidly.

Please also note that this is the cut-off date for the block of reserved
hotel rooms in Minneapolis.

The conference will take place on Saturday, May 3 at the University of St.
Thomas in the School of Law Minneapolis Campus. A plenary lecture will be
presented by Professor Mitchell Luskin of the University of Minnesota.

The purpose of the conference is to provide a forum for researchers and
practitioners at all stages of their careers, mainly from the Midwest, to
exchange ideas in numerical analysis, scientific computing and related
application areas.

Participation of graduate students is strongly encouraged.

Deadline for title and abstract submission: Friday, April 18, 2008.

For more information please contact Patrick Van Fleet
(pjvanfleet@stthomas.edu) or visit the website
http://cam.mathlab.stthomas.edu/midwest/.

For general information about Midwest Numerical Analysis see
http://www.math.iit.edu/~mwnaday.

Please pass this message along to interested students or colleagues.

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From: Hans De Sterck <hdesterck@uwaterloo.ca>
Date: Thu, 3 Apr 2008 07:56:14 -0500
Subject: Symposium on GPU and CELL Computing, Waterloo, May 2008

first announcement and call for contributions:
SHARCNET Symposium on GPU and CELL Computing

University of Waterloo, May 27th, 2008
http://www.sharcnet.ca/events/ssgc2008

Keynote Speakers:
Ben Bergen, Los Alamos National Laboratory, on CELL cluster computing and the
Roadrunner Hybrid Supercomputer
Michael McCool, University of Waterloo, on the RapidMind platform for
multi-core CPUs and many-core accelerators

Vendor Presentation: Jonathan Cohen, NVIDIA Research, on NVIDIA CUDA and GPU
computing

Call for Contributed Presentations and Posters: Please submit an abstract
(minimum one page) to merz@sharcnet.ca by April 28th, 2008, and indicate your
preference for oral presentation (20-minute talks) or poster presentation.

Important dates:
April 28th, 2008: deadline for abstract submission
May 9th, 2008: final program announced
May 14th, 2008: deadline for registration (registration is free but required)
May 27th, 2008: SHARCNET Symposium on GPU and CELL Computing

About SHARCNET: The Shared Hierarchical Academic Research Computing Network
(SHARCNET, www.sharcnet.ca) is a consortium of 16 Ontario academic
institutions in a "cluster of clusters" of high performance computers linked
by advanced fiber optics. SHARCNET provides leading-edge HPC infrastructure to
accelerate research for its academic and industry partners.

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From: Iain Duff <I.Duff@rl.ac.uk>
Date: Tue, 1 Apr 2008 08:27:13 +0100 (BST)
Subject: Sparse Days at CERFACS, France, Jun 2008

Sparse Days at CERFACS
Registration deadline: 23 May, 2008.
Web site: http://www.cerfacs.fr/algor/

As announced earlier, the "Sparse days at CERFACS" will be held at
CERFACS this year on 23rd and 24th June 2008. The meeting will start
mid-morning on Monday June 23rd and finish late-afternoon on the 24th
although the exact schedule will depend on the papers accepted for
presentation. The meeting will be a Workshop of the VECPAR 2008
meeting that will be held in Toulouse from 24-27 June. The main theme
of the Sparse Days this year will reflect this and be on vector and
parallel computing, including also work on modern architectures like
multicores, graphics processing units etc., although any contribution
involving sparse matrix research or applications is welcome.

As usual there will be no registration fee, although you must register
beforehand with Nicole Boutet (boutet@cerfacs.fr). People who have
already registered for the workshop through the VECPAR web pages need
not re-register. You should also let Nicole know if you want to stay
in the very cheap (but very adequate) on-site accommodation. There
will be a conference dinner on Tuesday evening, the cost of which will
be 40 euros.

People wanting to speak should email Xavier Vasseur
(vasseur@cerfacs.fr) with a title and abstract (one page in plain text
or LaTeX). We do not want to have parallel sessions so we will not
necessarily be able to accept all submissions. You should indicate
the time, t, that you would ideally like for your presentation, 15 min
<= t <= 45 min and we will try to accommodate this request within the
constraint of having no parallel sessions and finishing by around
17.00 on June 24th. A poster session will be available. Please let us
know if you would prefer this mode of presentation.

In memory of Gene Golub who attended many previous Sparse Days, the
meeting and dinner will have dedications to him and any speaker who
knew Gene is welcome to include remarks in his or her presentation.

The deadline for submitting abstracts (one page in plain text or
LaTeX), for registering, and for requesting cheap accommodation is May
23rd.

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From: David Skinner <deskinner@lbl.gov>
Date: Wed, 2 Apr 2008 11:55:52 -0500
Subject: Registration Open for SciDAC 2008 Tutorials, Redmond, Jul 2008

Registration for this year's SciDAC 2008 tutorials is open. A day of
multi-tracked tutorials will be held July 18 in Redmond Washington
following the main meeting July 13-17. This year's tutorials are
sponsored in part by Microsoft Research, who will be providing
transportation from the main conference site, the Fairmount Olympic, to
the Redmond campus.

At last year's SciDAC meeting 93 students and researchers met for a day
of presentations and discussions on wide ranging research problems and
topics for which SciDAC Centers and Institutes have developed solutions.

Topics this year include:

* Introductions to Running on Cray XT4 and IBM BlueGene/P
* Scientific Data and Workflow Management
* Ultrascale Visualization Techniques
* Optimization of Parallel Applications and Meshes
* Distributed Petascale Science and Grid Challenges
* The ACTS Toolkit Hands-on Tutorial
* Computing Using the Common Component Architecture

Full abstracts and registration are available online
https://outreach.scidac.gov/scidac08/tutorials/
A multi-tracked agenda based on registration levels will be posted to
the same site July 1.

David Skinner
SciDAC Outreach Center

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From: Paul Clifford <p.clifford@warwick.ac.uk>
Date: Fri, 4 Apr 2008 09:05:37 -0500
Subject: Workshop, Computational Methods for Exotic Options, Jul 2008

Conference: Computational Methods for Pricing and Hedging Exotic Options
Mathematics Institute, University of Warwick: 11th & 12th July 2008

The conference focuses on the use of modern computational methods for the
pricing and hedging of exotic options.

Keynote Speakers:
Nasir Afaf, Commerzbank
Claudio Albanese, Level3Finance
Jesper Andreasen, Bank of America
Pat Hagan, JP Morgan Chase
Nick Webber, Warwick Business School

We are now also accepting abstracts for talks in the afternoon sessions for
both July 11th and 12th.

Conference Web Page:
http://www2.warwick.ac.uk/fac/sci/maths/research/events/2007_2008/options/

1-day PhD Workshop:

In addition to the main conference on July 11th and 12th, there is a one-day
workshop for PhD students on July 10th. Places are limited to 20 and more
information can be found on the website

http://www2.warwick.ac.uk/fac/sci/maths/research/events/2007_2008/options/phd
workshop/

Contact Details:

For more information, contact Paul Clifford at p.clifford-at-warwick.ac.uk
or the Mathematical Research Centre(MRC) at
http://www.maths.warwick.ac.uk/mrc/index.html

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From: Vineet Dravid <vineet.dravid@comsol.com>
Date: Mon, 31 Mar 2008 12:37:37 -0500
Subject: Call for Papers - COMSOL Conference, Oct and Nov 2008

This is an invitation to present at the COMSOL Conference 2008. The worldwide
conference kicks off in Boston, MA, October 9-11, and Hannover, Germany,
November 4-6. This is the fourth annual conference highlighting multiphysics
modeling and simulation using COMSOL Multiphysics(R).

The Conference proceedings will be distributed to over 100,000 engineers and
scientists world wide. To learn more, visit

Boston:
http://www.comsol.com/conference2008/usa/papers/

Hannover:
http://www.comsol.com/conference2008/europe/papers/

Best regards,

Vineet Dravid
COMSOL Conference Boston Program Chair
781-273-3322

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From: Phan Thanh An <thanhan@math.ac.vn>
Date: Fri, 4 Apr 2008 02:19:27 -0500
Subject: High Performance Scientific Computing, Hanoi, Mar 2009

4th INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE SCIENTIFIC COMPUTING
Modeling, Simulation and Optimization of Complex Processes
March 2-6, 2009
Hanoi, Vietnam

PLENARY SPEAKERS
Robert E. Bixby (Houston)
Olaf Deutschmann (Karlsruhe)
Iain Duff (Chilton)
Roland Eils (Heidelberg)
Laszlo Lovasz (Budapest)
Peter Markowich (Cambridge)
Volker Mehrmann (Berlin)
Alfio Quarteroni (Lausanne)
Horst Simon (Berkeley)
Ya-xiang Yuan (Beijing)

LOCATION
The conference will take place at the
Institute of Mathematics
Vietnamese Academy of Science and Technology
18 Hoang Quoc Viet Road, Cau Giay District, Hanoi, Vietnam

DETAILED INFORMATION can be found at the CONFERENCE WEBSITE
http://hpsc.iwr.uni-heidelberg.de/HPSCHanoi2009
Participants can register, reserve hotel and submit data needed for
applying for a Vietnamese visa by using this conference website.

DATES TO REMEMBER
Deadline for registration and submission of abstracts: November 7, 2008.
Notification of acceptance for presentation: January 5, 2009.
Deadline for submission of data to apply for a business visa: January 9, 2009.
Deadline for submission of full papers for the conference proceedings: May 8,
2009.

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From: Gwendolyn McKeller <gjmckel@sandia.gov>
Date: Wed, 2 Apr 2008 14:45:33 -0500
Subject: Sandia Natl Labs - Uncertainty Quantification Algorithm R & D

Sandia National Laboratories is one of the countrys largest research and
engineering laboratories, employing 8,700 people at major facilities in
Albuquerque, New Mexico and Livermore, California. We apply our world class
scientific and engineering creativity and expertise to comprehensive, timely
and cost effective solutions to our nations greatest challenges. Please
visit our website at www.sandia.gov. We are searching for a Researcher in
Uncertainty Quantification Algorithm for the Optimization and Uncertainty
Quantification Department at the Albuquerque facility. The salary is
commensurate. A benefit and relocation package is available. Must be able
to obtain and maintain a DOE Security Clearance.

This position involves activities spanning fundamental algorithm research
and advanced, object-oriented software development. Fundamental research is
expected in the area of Uncertainty Quantification (UQ), including embedded
and sampling methods, adaptive UQ methods, optimization under uncertainty,
methods for epistemic uncertainties, and random fields/stochastic
processes. Research results are expected to be published in reports and
leading technical journals, and presented at technical workshops and
conferences. Results, when appropriate, are also expected to be implemented
into our UQ/Optimization and mathematical software toolkits such as DAKOTA
or Trilinos. These activities will be carried out in a collaborative, team-
based environment, requiring regular interactions with other staff,
management, the external technical community, and customers. Applicants
are preferred who are nationally recognized in the field of UQ, and who have
the program development and technical ability to build the department's
leadership reputation in UQ.

A PhD in the field of computational science, such as applied or
computational mathematics, engineering or a related discipline, and have
academic or work experience specializing in the targeted areas. The proven
ability to work in a collaborative, multi-disciplinary research and software
development environment is required. The following are also required:
Research experience, as evidenced by technical publications and
presentations, in the field of Uncertainty Quantification; Advanced C++
programming skills, with relevant software development experience in a team-
based environment; Expert knowledge of stochastic partial differential
equations, functional analysis, and stochastic Galerkin methods; Knowledge
of one or more engineering application areas (e.g., thermal, fluids, solids,
etc.); Knowledge of verification and validation technologies and processes;
and excellent written and oral communication skills. Knowledge of
advanced optimization methods and PDE-constrained optimization; knowledge of
advanced HPC architectures and operating systems; and experience with and
understanding of formal software quality engineering principles are
desirables.

Please apply online at http://www.sandia.gov, under Employment/Career
Opportunities/Sandia internet Careers site, reference Job Requisition
Number: 59987.

U.S. Citizenship Normally Required. Equal Opportunity Employer. M/F/D/V.

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From: Nick Trefethen <nick.trefethen@comlab.ox.ac.uk>
Date: Thu, 03 Apr 2008 15:44:15 +0100
Subject: Permanent job in NA Group at Oxford

I am delighted to announce an opening for a permanent
academic in the Numerical Analysis Group at
Oxford. The existing permanent academics in this group
are myself, Raphael Hauser, Ian Sobey, Endre Suli, and
Andy Wathen (also until recently Mike Giles and Nick
Gould). With 15-20 PhD students and many visitors,
this is one of the leading numerical analysis research
groups in the UK and, indeed, in the world.

In the standard Oxford manner, the appointee will also
hold a tutorial fellowship at a college, with
responsibilities for teaching undergraduates. The title
will be University Lecturer by default, or possibly
Reader or Professor for appointees at a sufficiently
senior level. The college is Exeter, right in the heart
of medieval Oxford, founded in 1314 (Tolkien was an
undergraduate and Inspector Morse died in the Front Quad).
Further details at https://www.maths.ox.ac.uk/node/6646.
DEADLINE APRIL 30.

Nick Trefethen

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From: "Luis N. Vicente" <lnv@mat.uc.pt>
Date: Wed, 2 Apr 2008 13:43:15 -0500
Subject: 5-year research position (Portugal)

5-YEAR RESEARCH POSITION

The Centre for Mathematics of the University of Coimbra
invites applications for a 5-year research position in
Applied and Computational Mathematics.

Applicants should have a PhD in Mathematical Sciences and
at least three years of postdoctoral experience, with a strong
publication record and a demonstrated ability to perform
independent research. Preference will be given to candidates
with a solid background in Computational Mathematics,
but applications from excellent candidates working in related
areas are also encouraged. A good command of English is required.

Successful applicants will develop their research activities in
the framework of the Laboratory for Computational Mathematics
http://www.mat.uc.pt/cmuc/lcm and may also participate in graduate
programs.

The position does not involve teaching duties and may revert to
tenure-track in the future. The basic salary is in the order of
42500 euros a year. Benefits include private health insurance
and social security.

The deadline for application is May 2, 2008, and the
application details are given in

http://www.mat.uc.pt/~cmuc/5-year.pdf

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From: Professor Stefan Sauter <stas.admin@math.uzh.ch>
Date: Mon, 31 Mar 2008 06:09:54 -0500
Subject: PhD position in Numerical Anaysis

The Institute of Mathematics of the University of Zrich invites applications
for a:

Three - year PhD position in Numerical Analysis and Mathematical Modelling

in the research group Computational Mathematics of Prof. Dr. S. Sauter.
Candidates must have a master degree in Mathematics or a closely related subject.

Applications should be sent by April 30th, 2008, either by eMail to
stas.admin@math.uzh.ch or by regular mail to Prof. Sauter. They must include

a) curriculum vita
b) complete record of academic education including grades and all achievements
c) two letters of recommendation.

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From: Choi-Hong Lai <C.H.Lai@gre.ac.uk>
Date: Wed, 2 Apr 2008 04:36:35 -0500
Subject: MSc in Applied Mathematical Modelling and Scientific Computing

University of Greenwich
MSc Applied Mathematical Modelling and Scientific Computing (AMMSC)
PhD Applied Mathematics

This advertisement is aimed at overseas students. Potential students
aiming at distinctive MSc results with migration to PhD studies in
applied mathematics are invited to apply. Fundings are not available
for students at the MSc level. However students successfully completed
the MSc with distinctive results will be selected to continue a PhD
research programme, which will then be fully funded, at the
Centre for Numerical Modelling and Process Analysis. Please refer to
http://www.cms.gre.ac.uk for a full description of the research activities.

Deadline for application: 30/06/2008 for September 2008 entrance.
Deadline for application: 09/11/2008 for January 2009 entrance.
Application form from http://ammsc.gre.ac.uk

The Masters programme is run by the Department of Mathematical
Sciences at Greenwich, within the School of of Computing and Mathematical
Sciences. This highly regarded department was ranked 10th in the 2007
UK departmental ranking
(http://www.timesonline.co.uk/section/0,,6734,00.html),
and the MSc is taught by members of the Centre for Numerical Modelling
and Process Analysis, an award winning research group.

This Masters programme aims to train and equip Honours graduates in
engineering, science or mathematics and suitably qualified professionals,
with the skills required to understand, and use, applied mathematical
modelling techniques and scientific computing technologies in industry.
Emphasis will be placed on modelling phenomena governed by the physics of
fluid flow, heat transfer, electromagnetics and solid mechanics using CFD,
FEA and other software tools. A core philosophy of the programme is to
introduce the students to the concept of multi-physics modelling, where
interactions between the governing physics, and hence the relevant solution
and software technologies, are important. A strand of the programme is
devoted to Fire and Evacuation modelling, for candidates with Fire Safety
degree background. Details of available modules can be found at:
http://ammsc.gre.ac.uk

Entry requirements: A good Bachelor's degree in engineering, physics,
mathematics or a relevant related discipline. Those who have
substantial commercial or industrial experience but lack formal
qualifications should seek an interview with the programme leader.

Further details of the programme, applications, enquiries should
reach cmsinfo@gre.ac.uk (Mrs. Marilyn Nichols) or cse@gre.ac.uk

Professor C.-H. Lai
Programme leader - MSc AMMSC

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

From: Zoe Crossman <zoe.crossman@iop.org>
Date: Mon, 31 Mar 2008 08:59:09 -0500
Subject: Inverse Problems Editorial Board Highlights of 2007

The Inverse Problems Editorial Board Highlights of 2007 are now online and
free to read until 31 December 2008:
http://herald.iop.org/IPHighlights2007NADigest/m103/cid//link/1477

This selection of articles chosen by the Inverse Problems Editorial Board
highlights the breadth and quality of the research published in Inverse
Problems in 2007. This is intended not as a list of the 'best' articles, but
as an interesting and stimulating reading list. Articles were selected for
many reasons, some contain outstanding research and breakthroughs, some may
have an especially clear exposition and are beautifully presented, others are
instructive, containing results and tools useful to many readers.

We hope you enjoy reading these articles as much as we have.

Kate Watt
Publisher, Inverse Problems
ip@iop.org

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From: badih@future-in-tech.net
Date: Wed, 02 Apr 2008 04:04:05 +0000
Subject: Contents, Intl J Math and Computer Science, Vol. 3, No. 1, 2008

Below please find the contents of the International Journal of
Mathematics and Computer Science, Vol. 3, No. 1, 2008:

1) Hisham Y. Abdallah, Kifah R. Tout, Reduction of a Set of
Qualitative Variables. Application to the
Discriminant……………………………………………………1
2) P. Selvagopal, P. Jeyanthi, On Ck-supermagic
Graphs……………………………25
3) J. Baskar Babujee, V. Vishnupriya, Permutation Labeling for some
Trees………31
4) B. Gayathri, V. Mohanaselvi, On Co-edge Tree Domination and Co-edge
Spanning Tree Domination in
Graphs………………………………………………39
5) B. Sharma, J. Vanualailai, K. Raghuwaiya, A. Prasad, New Potential
Field Functions for Motion Planning and Posture Control of 1-Trailer
Systems…………45
6) Hazem A. Attia, Steady Flow Through a Circular Pipe of a Dusty
Oldroyd 8-Constant Fluid……………………………73

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End of NA Digest

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