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

- Quaternion Specification from Vector Transformation
- Fast Multipole Methods Toolbox
- NMath Core from CenterSpace Software
- Journal of Complexity Best Paper Award
- New Book on Differential Equations
- New Book on Structured Matrices
- Workshop in Bonn on Continuum Models for Epitaxial Growth
- Conference at Brown on Spectral and High-Order Methods
- Conference in Spain, Dynamics Days
- Faculty Position at Freie Universitaet Berlin
- Postdoctoral Position at Ecole Nationale des Ponts et Chaussees
- Short Term Position at ETH, Zurich
- Staff Position at GlaxoSmithKline
- Studentships at University of Huddersfield
- Contents, Reliable Computing
- Contents, Computational Statistics and Data Analysis
- Contents, Journal of Approximation Theory
- Subscribe, unsubscribe, change address, or for na-digest archives:
- http://www.netlib.org/na-net

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

From: Ken Turkowski <turk@worldserver.com>

Date: Mon, 19 May 2003 12:56:34 -0700

**Subject: Quaternion Specification from Vector Transformation**

Can a [unit] quaternion be specified by its action on two normalized vectors?

I'm thinking, in particular, about the transformation of two particular

vectors: straight ahead and up.

If you represent points on the unit sphere with angles (theta, phi),

and the ahead and up vectors by

(theta=0, phi = 0), (theta=0, phi = pi/2)

and their transformation by quaternion multiplication

v' = q v q*

then it seems like

(theta_ahead, phi_ahead, theta_up, phi_up)

are 4 parameters that should be able to uniquely specify a quaternion

q = (qw, qx, qy, qz)

Right? The restrictions on the normalized quaternion should be balanced

out by the conformal (angle-preserving) nature of the quaternion

transformation. I realize that this is hand-waving. Is there some

justification for this?

There are many practical formulas to convert between quaternions and

rotation matrices, but the embedding into a higher-dimensional space

and projection seems like a waste of effort.

Ken Turkowski turk@worldserver.com

Immersive Imaging Technologist http://www.worldserver.com/turk/

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

From: Leslie Greengard <greengar@CIMS.nyu.edu>

Date: Fri, 23 May 2003 21:51:30 -0400 (EDT)

**Subject: Fast Multipole Methods Toolbox**

The FMM 2D Toolbox v1.0 for MATLAB is now available from MadMax Optics

for free download. This Toolbox provides three kinds of solvers based on

optimized Fast Multipole Methods (FMMs).

- Particle codes for 2D Coulombic and screened Coulombic interactions

- Solvers for homogeneous boundary value problems in interior or exterior

multiply connected domains with Dirichlet or Neumann conditions:

(Laplace and modified Helmholtz equations)

- Solvers for inhomogeneous boundary value problems in interior or exterior

multiply connected domains with Dirichlet or Neumann conditions:

(Poisson and modified Helmholtz equations)

The PDE solvers are true black-box tools, based on FMM-accelerated integral

equations using high-order quadrature and interpolation schemes.

Solutions are obtained in O(N) time, where N is the number of points in the

discretization. Boundaries are easily described as a sequence

of points. Volume source data (for the Poisson and inhomogeneous modified

Helmholtz equation) can be specified at a set of arbitrary locations,

allowing the solver to be coupled with virtually any underlying data

structure. No grid generation is required.

In order to provide solvers with the maximum of flexibility, we have

incorporated a number of novel features, including algorithms that can be

applied to regions with corners and discontinuous boundary data.

Thus, while the amount of work is of the order O(N), the solvers

are optimized for flexibility rather than speed. The latter would require

stricter control of the user's discretization schemes and more detailed

assumptions about the user's data.

The Toolbox and user manual are available for free download at

www.madmaxoptics.com/technology/products/FMMToolbox.asp.

Selected 3D FMM algorithms will be available on this website

in the near future.

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

From: Trevor Misfeldt <misfeldt@centerspace.net>

Date: Mon, 19 May 2003 13:34:48 -0700

**Subject: NMath Core from CenterSpace Software**

CenterSpace Software is pleased to announce the release of NMath Core 1.0:

<http://www.centerspace.net/products.php>http://www.centerspace.net/products.php

NMath Core contains vector, matrix, and complex number classes, random

number generators, and other high-performance functions for object-oriented

numerics on the .NET platform. NMath Core is designed to run with

machine-specific, highly optimized versions of the public domain linear

algebra subroutine libraries known as the BLAS (Basic Linear Algebra

Subroutines) and LAPACK (Linear Algebra PACKage). This gives NMath Core

classes performance levels comparable to C, and often results in

performance an order of magnitude faster than non-platform-optimized

implementations. Fully CLS-compliant, all NMath Core routines are callable

from any .NET language, including C# and Visual Basic.NET.

A free evaluation version of NMath Core is available from our website,

along with complete user documentation, performance benchmarks, whitepaper,

and code examples.

Trevor Misfeldt

CEO, CenterSpace Software

http://www.centerspace.net

misfeldt@centerspace.net

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

From: Joseph Traub <traub@cs.columbia.edu>

Date: Tue, 20 May 2003 11:19:09 -0400 (EDT)

**Subject: Journal of Complexity Best Paper Award**

JOURNAL OF COMPLEXITY

2002 BEST PAPER AWARD

The Award Committee consisting of Fred Hickernell and Peter Mathe

has selected the paper "Topological Complexity of Zero Finding with

Algebraic Operations" by Peter Hertling which appeared in December 2002,

Vol. 18, No. 4, Pages 912-942.

The author will be presented with a plaque and the $3,000 prize at

a suitable location.

Harald Niederreiter

Joseph F. Traub

Henryk Wozniakowski

Editors

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

From: Graham Robertson <gsr100@cambridge.org>

Date: Wed, 21 May 2003 10:29:40 +0100

**Subject: New Book on Differential Equations**

New Textbook From Cambridge:

"Differential Equations: Linear, Nonlinear, Ordinary, Partial"

by A.C. King, J. Billingham and S. Otto

This book enables the reader to develop the required skills to thoroughly

understand Differential Equations. The authors focus on the business of

constructing solutions analytically, and interpreting their meaning; MATLAB

is used extensively to illustrate the material.

Contents:

Preface; Part I. Linear Equations: 1. Variable coefficient, second-order,

linear ordinary differential equations; 2. Legendre functions; 3. Bessel

functions; 4. Boundary value problems, Green's functions and

Sturm-Liouville theory; 5. Fourier series and the Fourier transform; 6.

Laplace transforms; 7. Classification Properties and Complex Variable

Methods for Second Order Partial Differential equations; Part II. Nonlinear

Equations and Advanced Techniques: 8. Existence, uniqueness, continuity and

comparison of solutions of ordinary differential equations; 9. Nonlinear

ordinary differential equations; 10. Group theoretical methods; 11.

Asymptotic methods: basic ideas; 12. Asymptotic methods: differential

equations; 13. Stability, instability and bifurcations; 14. Time-optimal

control in the phase plane; 15. An introduction to chaotic systems;

Appendix 1. Linear algebra; Appendix 2. Continuity and differentiability;

Appendix 3. Power series; Appendix 4. Sequences of functions; Appendix 5.

Ordinary differential equations; Appendix 6. Complex variables; Appendix 7.

A short introduction to MATLAB; Bibliography; Index.

For more information please visit:

http://books.cambridge.org/0521016878.htm

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

From: Vadim Olshevsky <olshevsky@math.uconn.edu>

Date: Mon, 19 May 2003 19:11:24 -0400

**Subject: New Book on Structured Matrices**

Just published by AMS and SIAM:

Fast Algorithms for Structured Matrices: Theory and Applications

Edited by: Vadim Olshevsky, University of Connecticut, Storrs, CT

A joint publication of the

American Mathematical Society,

Series: Contemporary Mathematics, Volume: 323

Society for Industrial and Applied Mathematics

Publication Year: 2003

ISBN: 0-8218-3177-1

Paging: 433 pp.

The volume can be ordered at the AMS bookstore

http://www.ams.org/bookstore?arg9=3DVadim_Olshevsky&f=3DG&fn=3D105&p=3D0&pg1=

=3DCN&r=3D1&s1=3DOlshevsky%5FVadim

Description:

One of the best known fast computational algorithms is the fast Fourier

transform method. Its efficiency is based mainly on the special structure

of the discrete Fourier transform matrix. Recently, many other algorithms

of this type were discovered, and the theory of structured matrices emerged.

This volume contains 22 survey and research papers devoted to a variety of

theoretical and practical aspects of the design of fast algorithms for

structured matrices and related issues. Included are several papers containing

various affirmative and negative results in this direction. The theory of

rational interpolation is one of the excellent sources providing intuition and

methods to design fast algorithms. The volume contains several computational

and theoretical papers on the topic. There are several papers on new

applications of structured matrices, e.g., to the design of fast decoding

algorithms, computing state-space realizations, relations to Lie algebras,

unconstrained optimization, solving matrix equations, etc.

The book is suitable for mathematicians, engineers, and numerical analysts

who design, study, and use fast computational algorithms based on the theory

of structured matrices.

This volume is a joint publication of the American Mathematical Society and

the Society for Industrial and Applied Mathematics.

Contents

V. Olshevsky -- Pivoting for structured matrices and rational tangential

interpolation

G. Heinig -- Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank

profile

D. Fasino and L. Gemignani -- A Lanczos-type algorithm for the QR factorization

of Cauchy-like matrices

D. Fasino, N. Mastronardi, and M. Van Barel -- Fast and stable algorithms for

reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form

A. Olshevsky, V. Olshevsky, and J. Wang -- A comrade-matrix-based derivation of

the eight versions of fast cosine and sine transforms

D. A. Bini, L. Gemignani, and B. Meini -- Solving certain matrix equations

by means of Toeplitz computations: algorithms and applications

F. T. Luk and S. Qiao -- A fast singular value algorithm for Hankel matrices

D. Calvetti, L. Reichel, and F. Sgallari -- A modified companion matrix

method based on Newton polynomials

J. Hendrickx, R. Vandebril, and M. Van Barel -- A fast direct method for

solving the two-dimensional Helmholtz equation, with Robbins boundary conditions

C. Di Fiore -- Structured matrices in unconstrained minimization methods

N. Ito, W. Schmale, and H. K. Wimmer -- Computation of minimal state space

realizations in Jacobson normal form

A. Mayo -- High order accurate particular solutions of the biharmonic

equation on general regions

T. Wen, A. Edelman, and D. Gorsich -- A fast projected conjugate gradient

algorithm for training support vector machines

V. Olshevsky and M. A. Shokrollahi -- A displacement approach to decoding

algebraic codes

M. Bollh=F6fer and V. Mehrmann -- Some convergence estimates for algebraic

multilevel preconditioners

D. Noutsos, S. S. Capizzano, and P. Vassalos -- Spectral equivalence and matrix

algebra preconditioners for multilevel Toeplitz systems: a negative result

W. F. Trench -- Spectral distribution of Hermitian Toeplitz matrices

formally generated by rational functions

D. Fasino and S. S. Capizzano -- From Toeplitz matrix sequences to zero

distribution of orthogonal polynomials

K. R. Driessel -- On Lie algebras, submanifolds and structured matrices

H. Dym -- Riccati equations and bitangential interpolation problems with

singular Pick matrices

V. Bolotnikov, A. Kheifets, and L. Rodman -- Functions with Pick matrices

having bounded number of negative eigenvalues

Yu. M. Arlinskii, S. Hassi, H. S. V. de Snoo, and E. R. Tsekanovskii --

One-dimensional perturbations of selfadjoint operators with finite or discrete

spectrum

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

From: Axel Voigt <voigt@caesar.de>

Date: Tue, 20 May 2003 09:33:59 +0200

**Subject: Workshop in Bonn on Continuum Models for Epitaxial Growth**

Last call for papers, new deadline 31 May 2003

Workshop on

Continuum Models for Epitaxial Growth

August, 4th- 6th, 2003

Bonn, Germany

Chairs

Felix Otto, University of Bonn

Axel Voigt, Research Center Caesar

Mission

In order to describe epitaxial thin film growth a large variety of continuum

models at different time and length scales have been derived. The workshop

concentrates on bridging the gap between this different models, with a special

focus on BCF and its variants. We will bring together experts from different

communities to report about the state-of-the-art of modelling epitaxial growth

with the aim to combine microscopic film properties with macroscopic growth

process conditions. The symposium will take place in Bonn, in the newly built

research center caesar. Thin film growth is presently one of the key research

areas of caesar. According to the philosophy of caesar it is carried out in

close cooperation between experimentalists and theorists.

For details, please, visit the workshop Web site at:

http://www.caesar.de/workshops/epitaxy

or

http://sgb611.iam.uni-bonn.de

We look forward to welcome you in Bonn

Felix Otto and Axel Voigt

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

From: Jan Hesthaven <jansh@cfm.brown.edu>

Date: Wed, 21 May 2003 13:20:30 -0400 (EDT)

**Subject: Conference at Brown on Spectral and High-Order Methods**

First Announcement

6th International Conference on Spectral

and High-Order Methods (ICOSAHOM'04)

June 21-25, 2004

Brown University, RI, USA

The 6th International Conference on Spectral and High Order

Methods (ICOSAHOM) will continue a tradition established

through the organization of the 1st ICOSAHOM by C. Canuto

and A. Quarteroni in Como, Italy in 1989. This conference

continues to be a main conference venue where significant

advances and new applications of high-order accurate methods

for solving PDE's are presented.

Conference themes include but are not limited to spectral

methods, high-order finite difference and finite element

methods, h-p finite element methods, discontinuous Galerkin

methods, ENO/WENO methods, high-order methods for integral

equations, and wavelet based methods.

Applications include problems appearing in electromagnetics,

fluid and structural dynamics, climate modeling, inverse

problems, efficient solvers and preconditioners for high-

order methods, efficient time-stepping techniques, and

parallel and computational aspects of spectral and high-

order methods.

To highlight recent developments, a number of leading

reseachers have kindly agreed to give invited plenary

presentations. These include

Mark Ainsworth (Strathclyde University, Scotland)

Mejdi Azaiez (ENSCPB, France)

Ivo Babuska (ICES, University of Texas, Austin, USA)

Silvia Bertoluzza (IAN-CNR, Pavia, Italy)

Wei Cai (University of North Carolina, USA)

Monique Dauge (Rennes, France)

Dale Haidvogel (Rutgers University, USA)

Luca Pavarino (University of Milano, Italy)

Tim Phillips (University of Wales, UK)

Eli Turkel (Tel Aviv University, Israel)

Miguel Visbal (WP Air Force Base, USA)

An integral part of ICOSAHOM'04 will be topic-specific

minisymposia, following a tradition that encompasses all

previous ICOSAHOM conferences. The purpose of these

minisymposia are several, e.g., presentation of new and

exciting developments within the scope of the conference,

new areas of applications in the sciences and engineering,

and to emphasize areas of particular recent activity and

progress.

To be included on the maillist for future announcements,

view important dates and a prelimenary call for minisymposia

organizers and contributed papers we invite you to visit

the conference webpage

http://www.dam.brown.edu/icosahom2004

or to contact the conference secretary

Ms. Janice D'Amico

ICOSAHOM'04 Secretary

Division of Applied Mathematics

Brown University

Providence, RI 02912

Email: icosahom@dam.brown.edu

Best regards

The organizing committee

David Gottlieb

Jan S. Hesthaven

George E. Karniadakis

Chi-Wang Shu

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

From: Julyan Cartwright <julyan@lec.ugr.es>

Date: Fri, 23 May 2003 20:25:59 +0200

**Subject: Conference in Spain, Dynamics Days**

Dynamics Days 2003

XXIII Annual Conference

4 decades of chaos 1963-2003

http://www.imedea.uib.es/~ddays

24-27 September

Palma de Mallorca, Spain

Dynamics Days is an annual interdisciplinary conference designed to stimulate

interactions amongst researchers with interests in dynamical systems,

particularly those with nonlinear aspects.

Dynamics Days 2003 will take place from Wednesday 23 September to Saturday

27 September, on the campus of the University of the Balearic Islands,

Palma de Mallorca, Spain.

Organizers: Oreste Piro (Palma), Julyan Cartwright (Granada)

OPENING SESSION SPEAKER: Edward Lorenz

CONFIRMED INVITED SPEAKERS:

Michael Berry

Oriol Bohigas

Leonid Bunimovich

Yves Couder

Pierre Coullet

Theo Geisel

Ray Goldstein

Celso Grebogi

Mogens Jensen

Rafael de la Llave

Marcelo Magnasco

Giorgio Mantica

Igor Mezic

Heinz Georg Schuster

Jorge Tredicce

Angelo Vulpiani

Apart from the plenary talks by the invited speakers, contributed oral and

poster communications by participants are expected to form a large and

important part of the meeting. Abstract submissions are therefore

enthusiastically encouraged. Most of the accepted oral contributions will

be arranged together with the plenary talks in a single session.

Additionally, a part of the conference will be devoted to special

minisymposium sessions around common selected themes. These sessions will

contain both key note talks and contributions. We anticipate having

minisymposia on the following themes, but additional ones may be

announced later.

MINISYMPOSIA

Biological systems

Socio- and econodynamics

Quantum chaos

Noise

Chaotic communication

Mixing and fluids

Patterns

Deadlines for submissions: To be considered for an oral presentation,

abstracts must be received by the organizers by 31st July. No limit will be

placed on the number of posters.

The registration fee is 250 euros; there is a reduced fee of 150 euros

for students.

There is a limited amount of funding available to enable students to attend

who could not otherwise afford to do so, especially those from eastern Europe.

Details of the funding and how to apply for it are given on the conference Web

site - see below.

Accommodation for participants may be booked through the conference Web site.

Online registration and further information can be found on the

conference web pages at

http://www.imedea.uib.es/~ddays

These pages are being updated as further information is available, so please

check them regularly.

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

From: Bettina Felsner <bfelsner@inf.fu-berlin.de>

Date: Fri, 23 May 2003 12:24:18 +0200

**Subject: Faculty Position at Freie Universitaet Berlin**

FREIE UNIVERSITAET BERLIN ---- DFG RESEARCH CENTER

Freie Universitaet Berlin announces an opening in the Department of

Mathematics and Computer Science of the newly established position of

Professor (C4) of "Mathematics in life sciences".

The position is an integral Part of the DFG research Center "Mathematics

for key technologies. Modeling, simulation, and optimization of real-world

processes" (www.fzt86.de). The rank is Full Professor with tenure (C4).

Qualifications: According to =A7 100 of the Berlin Higher Education Act, a

post-doctoral thesis (Habilitation) or comparable qualifications in

science and education are obligatory. Specific expertise in mathematics

with strong background in its application to the life sciences are required.

Further Qualifications: The successful applicant should be an expert in

applied stochastics and/or statistics, numerical mathematics, discrete

mathematics, or in related aspects of applied mathematics. He or she

should have a rich experience with mathematical methods for the solution

of real life application problems from the life sciences such as medical

or biotechnology, biostatistics, modeling and simulation of complicated

dynamical behaviour in biological, biochemical or neural systems,

biomechanics or tissue engineering. He or she is expected to collaborate

intensively within the DFG research center. Appropriate participation in

the self-organization duties of the Center and in the scientific

education of younger researchers is essential. Association of a junior

research team to the professorship is possible.

Applicants should send a curriculum vitae, a statement of research and

teaching interests, and a list of publications, to the following address:

Freie Universitaet Berlin

Fachbereich Mathematik und Informatik

DFG-Forschungszentrum

Arnimallee 2-6

14195 Berlin

Please quote reference number DFG-FZ-C4 in your covering letter. The

deadline for receiving applications is July 3rd, 2003

Freie Universit=E4t Berlin is an equal opportunity employer.

Further information can be obtained from Christof Schuette (scientific),

schuette@math.fu-berlin.de or Bettina Felsner (administrativ),

bfelsner@inf.fu-berlin.de.

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

From: Alexandre Ern <ern@cermics.enpc.fr>

Date: Thu, 22 May 2003 15:12:17 +0200

**Subject: Postdoctoral Position at Ecole Nationale des Ponts et Chaussees**

Applications are invited for a one-year postdoctoral position at INRIA

(www.inria.fr) in the field of Computational Geosciences.

The position is offered within the Cooperative Research Action DYNAS

funded by INRIA (www-rocq.inria.fr/estime/dynas). DYNAS is a two-year

interdisciplinary project launched in January 2003 involving applied

mathematicians, modelling experts of subsurface flows and geoscience

engineers. The project aims at developping a software tool based on

sound physical modelling and robust numerical methods to simulate the

dynamics of shallow water tables in variably saturated porous media with

a particular emphasis on heavy rainfall episodes.

A preliminary series of test cases neglecting surface runoff has been

established. Numerical methods have been selected with an emphasis on

locally conservative methods such as mixed finite elements, box schemes

and cell-centered finite volume schemes. These methods are currently

being assessed against the test cases and compared with experimental

data.

The postdoctoral research will pursue the following objectives:

- study appropriate boundary conditions coupling the subsurface water

table to the kinematic wave generated by surface runoff,

- investigate the impact of the hydrodynamical properties of the soil

on model predictions,

- based on various numerical tools already available within the DYNAS

project, develop a 3D software package designed to simulate the dynamics

of shallow water tables and the appearance of surface runoff within rain

events.

The candidate should have, or receive shortly, a PhD in the field of

applied mathematics with a strong background in the numerical solution

of partial differential equations and a relevant experience in computer

programming. Some background in the modelling of subsurface flows is an

important asset.

The position will be for twelve months starting in September or October

2003. The postdoctoral fellowship is approximately 1800 euros/month net

and includes basic health insurance. The candidate will be located at

the Cermics laboratory of the Ecole Nationale des Ponts et Chaussees

near Paris (cermics.enpc.fr/equipes/mecflu.html) and will interact

frequently with all the teams participating in the DYNAS project, in

particular the ESTIME project at INRIA-Rocquencourt

(www-rocq.inria.fr/estime) and the Drainage and Barrier Engineering Unit

at Cemagref (www.cemagref.fr), both in the Paris metropolitan area.

Candidates should submit by e-mail (pdf format preferred) or by post

- a cover letter in support of the application,

- a curriculum vitae with a list of publications,

- one to three publications,

- name and address of three references.

The material should be sent by June 30 to:

Prof. Alexandre Ern

CERMICS, ENPC

6 et 8, avenue Blaise Pascal

F-77455 Marne la Vallee cedex 2, France

ern@cermics.enpc.fr

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

From: Andreas Adelmann <aaadelmann@lbl.gov>

Date: Mon, 19 May 2003 06:40:43 +0200

**Subject: Short Term Position at ETH, Zurich**

Optimal two and three dimensional Transpose for Parallel FFT's

Fast Fourier Transform methods are commonly used for numerically

solving partial differential equations. One crucial point is that data

organization in distributed memory computer systems must have each

entire vector corresponding to the current transformation direction

memory resident on one processor. Typically, the organization will

consist of "slabs" or "pencils" containing several entire vectors of the

current transform direction on each independent processor. When

vectors in a new direction are to be Fourier transformed, a reorganization,

or transpose, of the existing layout must be performed. Although log(n)

steps are needed on each vector (of size n) to perform the FFT, it turns out

that a single transpose operation to move the new direction vectors into

contiguous memory locations on processors represents a significant

portion of the total transformation time. Hence the transpose operation

is very important. It is this transposition that we wish to implement

efficiently.

We are looking for a student of computational science, mathematics,

physics, or engineering with solid C or C++ and MPI experience.

Ideally the candidate is close to graduation.

This is a joint project between the Seminar for Applied Mathematics (SAM) of

ETH Zurich and Paul Scherrer Institut (PSI). Duration 3 months, starting

first of July 2003.

Contact Dr. Andreas Adelmann, andreas.adelmann@psi.ch

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

From: Frank Tobias <Frank.Tobin@gsk.com>

Date: Mon, 19 May 2003 12:02:41 -0400

**Subject: Staff Position at GlaxoSmithKline**

Mathematical Modeler at GlaxoSmithKline

GlaxoSmithKline (GSK) is a world leading research-based pharmaceutical

company with an opportunity available in our Upper Merion, PA facility

with the Scientific Computing and Mathematical Modeling group. This

position will be responsible for conducting research and developing

mathematical models of biological systems for the purposes of advancing

drug discovery and development efforts. This will involve understanding

the complexities of the biology (e.g. the chemical, genetic, cellular,

tissue, spatial, temporal, and geometric aspects), the needs of the drug

development team involved, and formulating a proper computational

approach. That approach will then be translated into a series of

mathematical models which are to be numerically solved and the solutions

delivered to the team. This role will require the ability to work with

biologists and to convey sophisticated mathematical approaches in a

relevant manner. We are looking for that rare individual who can

successfully integrate sophisticated mathematics and computer software

with biological problems. We seek someone who has the motivation and

drive to solve real-world problems.

We are looking for an individual with experience in mathematical biology

or modelling of complex biological systems and who has an excellent

grounding in several of the following: modelling, numerical analysis,

differential equations, function approximation, dynamical systems,

fractals and stochastic processes, and other modern computational

techniques. A good general scientific or engineering background (e.g.

mathematics, physics, chemistry, electrical engineering, etc.) as well as

a biological one is important. While experience with bioinformatics (i.e.

sequence analysis), molecular biology, or genetics is a asset, it is not a

requirement. An advanced degree (Ph.D.) in a scientific field as well as

strong, documented experience in scientific computing are essential.

GlaxoSmithKline offers a competitive benefits and compensation package.

For confidential consideration and efficient processing, please visit our

website: www.gsk.com and apply online indicating Job Code Requisition

Number: 10080

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

From: John Ramsdin <j.p.ramsdin@hud.ac.uk>

Date: Thu, 22 May 2003 12:45:28 +0100

**Subject: Studentships at University of Huddersfield**

EPSRC Case Studentships in Computational Mathematics

Two PhD three-year awards are available from October 2003 or earlier.

(i) Rational Approximation in Metrology

The study of measurement systems leads to a requirement for fitting data

representing system responses by model curves and surfaces. Most

empirical models available (polynomials, splines, etc) do not model well

the asymptotic behaviour (eg decay, singularities) observed in many

physical systems. The research will take a new look at rational

approximation techniques that are believed to be a powerful method that

can meet this important requirement. The research is sponsored by the

National Physical Laboratory.

(ii) Spectral Methods for Brake Noise Modelling

Brake noise is a long-standing problem for the automotive industry and

there is a long history of research into the causes of what has been

shown to be a complex phenomena. Standard modelling techniques using

finite element packages have met with limited success in predicting when

brake noise can occur. Spectral methods of approximation have proven

successful for problems that are usually expensive on computing time and

should give a valuable new approach in this case. The research is

sponsored by Alcon Components Ltd.

Applicants for either post should hold at least a 2.1 degree, or

equivalent, preferably in a mathematically-related area, such as physics

or engineering. They would join a successful group of practical

researchers. The studentships include registration fees and provides a

salary of approximately =A312k pa.

To apply, send your CV and two referee names by e-mail to:

* for post (i), Professor J. C. Mason, e-mail j.c.mason@hud.ac.uk

* for post (ii), Dr C. J. Talbot, e-mail c.j.talbot@hud.ac.uk

University of Huddersfield

School of Computing and Engineering

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

From: Vladik Kreinovich <vladik@cs.utep.edu>

Date: Wed, 21 May 2003 09:08:18 -0600 (MDT)

**Subject: Contents, Reliable Computing**

Reliable Computing

Volume 9, issue 4, 2003

Mathematical Research

Worst-Case Simulation of Discrete Linear Time-Invariant Interval Dynamic Systems

Vicenc Puig, Jordi Saludes, Joseba Quevedo

251-290

Optimal Bicentered Form

Youkang Fang

291-302

Asymptotic Stability of Interval Time-Delay Systems

Svetlana P. Sokolova, Ruslan S. Ivlev

303-313

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From: ScienceDirect <sciencedirect@prod.lexis-nexis.com>

Date: Sat, 24 May 2003 09:51:21 -0400 (EDT)

**Subject: Contents, Computational Statistics and Data Analysis**

Computational Statistics & Data Analysis Volume 43, Issue 2, Pages 121-282

(28 June 2003)

TABLE OF CONTENTS

On the exact distribution of maximally selected rank statistics, Pages 121-137

Torsten Hothorn and Berthold Lausen

Wavelet denoising of Poisson-distributed data and applications, Pages 139-148

C. Charles and J. P. Rasson

Three-way fuzzy clustering models for LR fuzzy time trajectories, Pages 149-177

Renato Coppi and Pierpaolo D'Urso

Discriminating between Weibull and generalized exponential distributions,

Pages 179-196

Rameshwar D. Gupta and Debasis Kundu

Reducing over-dispersion by generalized degree of freedom and propensity score, Pages 197-214

Ie-Bin Lian

On tests of homogeneity based on minimum [phi]-divergence estimator with

constraints, Pages 215-234

M. L. Menendez, J. A. Pardo, L. Pardo and K. Zografos

Design of hybrids for the minimum sum-of-squares clustering problem,

Pages 235-248

Joaquin Pacheco and Olga Valencia

Computing discrete mixtures of continuous distributions: noncentral chisquare,

noncentral t and the distribution of the square of the sample multiple

correlation coefficient, Pages 249-267

Denise Benton and K. Krishnamoorthy

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

From: ScienceDirect <sciencedirect@prod.lexis-nexis.com>

Date: Sat, 24 May 2003 09:51:21 -0400 (EDT)

**Subject: Contents, Journal of Approximation Theory**

Journal of Approximation Theory Volume 122, Issue 2, Pages 151-334 (June 2003)

TABLE OF CONTENTS

Best approximation by linear combinations of characteristic functions of

half-spaces, Pages 151-159

Paul C. Kainen, Vra Krkova and Andrew Vogt

The uniform convergence of subsequences of the last intermediate row of the

Pade table, Pages 160-207

Victor M. Adukov

Sur les fonctions q-Bessel de Jackson, Pages 208-223

Changgui Zhang

Strong asymptotics in Lagrange interpolation with equidistant nodes,

Pages 224-240

Michael I. Ganzburg

Markov inequality for polynomials of degree n with m distinct zeros,

Pages 241-248

David Benko and Tamas Erdelyi

Bounds for symmetric elliptic integrals, Pages 249-259

Edward Neuman

Approximation by neural networks with a bounded number of nodes at each level,

Pages 260-266

G. Gripenberg

Summability of orthogonal expansions of several variables, Pages 267-333

Zhongkai Li and Yuan Xu

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End of NA Digest

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