NA Digest Sunday, May 6, 2001 Volume 01 : Issue 18

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

Submissions for NA Digest:

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Information about NA-NET:

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URL for the World Wide Web:

From: Chirag Kalelkar <>
Date: Tue, 1 May 2001 21:53:13 +0530 (IST)
Subject: Help with Bessel Transforms


I'm looking for a Fast Bessel Transform software usable for large

Any help in this regard would be greatly appreciated.Thank You.

Chirag Kalelkar


From: Mahmood Ahmad <>
Date: Thu, 3 May 2001 12:24:11 +0100
Subject: Tables of Gauss-Turan-type Quadrature


I am currently investigating into the use of quadrature rules involving
derivatives of the integrand in the Boundary Element Method problems. In
this regard, I am looking for some tables of abscissae and weights for
various orders of derivatives of the integrand. I would be most grateful if
anyone can guide towards these tables or routines that generate these

Many thanks

Mahmood Ahmad
PhD Student, Cranfield University


From: A. Vande Wouwer <>
Date: Thu, 03 May 2001 10:20:15 +0200
Subject: New Book, Adaptive Method of Lines

New book:


A. Vande Wouwer, P. Saucez and W.E. Schiesser (Eds.)
Chapman & Hall / CRC, 2001
ISBN: 1-58488-231-X

The general Method Of Lines (MOL) procedure provides a flexible format for
the solution of all the major classes of partial differential equations
(PDEs) and is particularly well suited to evolutionary, nonlinear PDEs.
Despite its utility, however, there are relatively few texts that explore
it at a more advanced level and reflect the method's current state of

Written by distinguished researchers in the field, Adaptive Method of Lines
reflects the diversity of techniques and applications related to the MOL.
Most of its chapters focus on a particular application but also provide a
discussion of underlying philosophy and technique. Particular attention is
paid to the concept of both temporal and spatial adaptivity in solving
time-dependent PDEs.=20

The purpose of the book is threefold:

-to provide an introduction to the MOL and the concepts of time and space

-to present a variety of applications from physics and engineering science;

-to describe new methods and codes and to highlight current research.

Hence, this book is intended for engineers, physicists and applied
mathematicians who are not familiar with the MOL, as well as for numerical
analysts interested in recent research results.

Contents of the book:

-Introduction (A.Vande Wouwer, P. Saucez and W.E. Schiesser)
-Application of the Adaptive Method of Lines to Nonlinear Wave Propagation
Problems (A. Vande Wouwer, P. Saucez and W.E. Schiesser)
-Numerical Solutions of the Equal width Wave Equation Using An Adaptive
Method of Lines (S. Hamdi, J.J. Gottlieb and J.S. Hansen)
-Adaptive MOL for Magneto-Hydrodynamic PDE Models (P.A. Zegeling and R.
-Development of a 1-D Error-Minimizing Moving Adaptive Grid Method (M.
-An Adaptive Method of Lines Approach for Modelling Flow and Transport in
Rivers (G. Steinebach and P. Rentrop)
-An Adaptive Mesh Algorithm for Free Surface Flows in General Geometries
(M. Sussman)
-The Solution of Steady PDEs on Adjustable Meshes in Multidimensions Using
Local Descent Methods (M.J. Baines)
-Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems (J.
Lang and B. Erdmann)
-Linearly Implicit Adaptive Schemes for Singular Reaction-Diffusion
Equations (Q. Sheng and A. Q. M. Khaliq)
-Unstructured Mesh MOL Solvers for Reacting Flow Problems (M. Berzins)
-Two-Dimensional Model of a Reaction Bonded Aluminum Oxide Cylinder (M.J.
Watson, H.S. Caram, H. M. Chan, M. P. Harmer, P. Saucez, A. Vande Wouwer
and W. E. Schiesser)
-Method of Lines within the Simulation Environment DIVA for Chemical
Processes (R. K=F6hler, K.D. Mohl, H. Schramm, M. Zeitz, A. Kienle, M.
Mangold, E.Stein and E.D. Gilles)


From: T. E. Simos <>
Date: Wed, 02 May 2001 03:30:59 +0300
Subject: Special Issue of Compututers & Mathematics with Applications


Computers & Mathematics with Applications, An International Journal,
will publish a special issue on THE NUMERICAL ANALYSIS OF ORDINARY
DIFFERENTIAL EQUATIONS with guest editors T.E. Simos (Democritus
University of Thrace, Greece) and I. Gladwell (Southern Methodist
University, USA) to whom questions concerning the special issue should
be addressed.

Research and review papers are solicited for the special issue. Topics
include the theory of, software for, and applications of numerical
techniques for ordinary differential equations. Papers in all areas of
numerical methods for ordinary differential equations will be
considered, particularly initial value problems, boundary value
problems, delay differential equations, differential algebraic
equations, and the method of lines in time.


Each submitted paper should be of length 20-30 A4 pages including the
title page with abstract, and all figures, tables, and references.
Submit one original and two copies of the complete paper (or submit a
postscript file of the complete paper electronically) to:


Dr. T.E. Simos,
Guest Editor, NAODEs
26 Menelaou Street,
Amfithea - Paleon Faliron,
GR-175 64 Athens, GREECE


Professor I. Gladwell
Guest Editor, NAODEs
Department of Mathematics,
Southern Methodist University,
Dallas, TX 75275, USA

Papers for the special issue should contain original material that must
not be previously published nor currently submitted for consideration
elsewhere. Each paper must have a title page that includes the title,
full names of all authors, and their complete addresses including
affiliation(s), and an abstract of up to 200 words.

The final form of the accepted papers will be required to conform to the
style file of the journal Computers & Mathematics with Applications at


July 2, 2001: Deadline for submission of the front page (title, authors,
abstract); this is for editorial guidance and for indication of content.

October 30, 2001: Deadline for submission of the complete paper.

March 28, 2002: Final date for notifying authors of acceptance.

May 15, 2002: Deadline for submission of accepted papers in "camera
ready" form.


From: Timothy Barth <>
Date: Thu, 3 May 2001 09:26:25 -0700 (PDT)
Subject: Short Course on CFD at NASA Ames and von Karman Institute


"Error Estimation and Solution Adaptive Discretization in CFD"


As computational fluid dynamics (CFD) is applied to ever more
demanding fluid flow problems, the tasks of (1) computing numerical
fluid flow solutions to a user specified tolerance and (2) quantitative
assessment of existing numerical fluid flow solutions have become
paramount in the development of complex fluid dynamical systems.

The goal of the NATO Research and Technology Office (RTO) sponsored
lecture series is to provide a series of comprehensive lectures by
leading experts discussing recent advances and technical progress in
the area of numerical error estimation and adaptive discretization
methods with specific emphasis on computational fluid dynamics. The
lectures are intended to accommodate attendees of both novice and
advanced levels of technical expertise.

The week long lecture series will be given at NASA Ames in the
United States and repeated later at the von Karman Institute in
Belgium. Online registration forms and hotel/travel information
is available at the WEB locations given below. Detailed lecture
notes will be available to attendees at the time of the lecture series.

Course Lecturers and Topics

- Marshall Bern (Xerox PARC, USA): Delaunay triangulation, subdivision
surfaces, computational geometry, optimal triangulations,
adaptive refinement, mesh improvement

- Mike Giles and Endre Suli (Oxford University, UK): Introduction to
a posteriori error estimation, Giles/Pierce theory, stabilized FEM
for hyperbolic problems, a posteriori error analysis for $hp$ FEM

- Claes Johnson (Chalmers University, Sweden): Adaptive FEM for fluid
flow, model adaptivity, multi-adaptive space-time solvers

- Jaime Peraire and Anthony Patera (MIT, USA): Implicit A-posteriori
computation of bounds, "Energy" norms and outputs of interest,
constrained minimization formulations, computation of bounds using
inexpensive relaxations

- Serge Prudhomme (University of Texas at Austin, USA): "Goal oriented"
error estimation and adaptation, a posteriori error estimation,
$hp$ FEM, stability and error control, solution adaptivity

First location

September 10-14, 2001
NASA Ames Research Center
Moffett Field, California, USA
Online Registration Available:
Registration DEADLINE: Aug. 31, 2001
NASA Ames Course Administrator:
Marcia Redmond, (650)604-4373

Second location

October 15-19, 2001
von Karman Institute for Fluid Dynamics
Rhode-Saint-Genese, Belgium
Online Registration Available: (click "lecture series")
Registration DEADLINE: Oct. 1, 2001
VKI Course Administrator:
Carine Buyse, (+32 23599604)

Lecture Series Directors and Technical Contacts

Dr. T. Barth Prof. H. Deconinck
NASA Ames Research Center von Karman Institute
M.S. N202A-1 72, Chaussee de Waterloo
Moffett Field, CA, 94040 USA 1640 Rhode-Saint-Genese, Belgium
( (


From: Ken McKinnon <>
Date: Mon, 30 Apr 2001 10:15:26 +0100 (BST)
Subject: PhD Studentship at Edinburgh University

PhD CASE studentship at Edinburgh University

Topic: Optimization methods for the operation of gas storage
and delivery networks

Please pass on this message to anybody you think might be interested.

EPSRC and Edinburgh Petroleum Services are funding a 3 year CASE
studentship for a PhD. This is suitable for a student with a good
degree in Mathematics or some scientific or engineering subject with a
high mathematical content. A willingness to get involved in
computing will be essential, but current skill in computing is not

The student will be based in the Department of Mathematics and
Statistics in the University of Edinburgh,

See <a href=""></a> for details.


From: Ricardo Cortez <>
Date: Tue, 01 May 2001 14:11:11 -0500
Subject: Postdoctoral Postions at Tulane University


University has four research postdoctoral positions open.
Appointments will be made for 2 years starting on July 1, 2001.
We are especially interested in candidates with a strong background
in scientific computation, desire to work in collaborative projects
and some knowledge of one of the following application fields:

(1) cellular electro- or neuro- biology,
(2) dynamics of DNA,
(3) solid-surface and interface processes, or
(4) interfacial fluid motion and physciochemical hydrodynamics.

Applicants must have a Ph.D. in a scientific discipline with emphasis
on Scientific Computation. Please send a CV, a description of research
interests to:

Center for Computational Science
Gibson Hall room 424
Tulane University
New Orleans, LA 70118
Phone: (504) 865-5727
FAX: (504) 865-5063

In addition the applicant must request that three letters of
recommendation be sent directly to the same address.

The Center for Computational Science has been created to promote
interdisciplinary collaborations. Its organizational members are
L. Fauci, Director(mathematics), R. Cortez, Co-Director (mathematics),
D. Gaver, Co-Director (biomedical engineering), T. Bishop (environmental
health sciences), D. DeKee (chemical engineering), U. Diebold (physics),
D. Lacks (chemical engineering), L. Steinberg (civil and environmental
engineering), J. Tasker (cell and molecular biology), and N. Trayanova
(biomedical engineering).

Applications will be accepted until the positions are filled.
Tulane University is an Affirmative Action/Equal Opportunity Employer
that is committed to increasing the diversity of its faculty. We therefore
especially encourage applications from underrepresented groups.


From: Mikhail Shashkov <>
Date: Tue, 1 May 2001 17:10:39 -0600
Subject: Postdoctoral Position at Los Alamos

Postdoctoral Position: PD006076
Los Alamos National Laboratory, Los Alamos, NM, USA

The Mathematical Modeling and Analysis Group (T-7) and the Center for
Nonlinear Studies (CNLS) at Los Alamos National Laboratory are currently
seeking highly motivated PH.D. graduates to participate in the
Post Doctoral Fellowship program.

There are specific opportunities at this time for Postdoctoral
fellow with strong computational and mathematical experience
in the numerical solution of partial differential equations.
One of the projects is the development and implementation of
new Arbitrary Lagrangian Eulerian (ALE)
finite difference/finite volume methods for the solution of
multidimensional high speed fluid flow problems on unstructured grids.

These are highly competitive positions. Experience
in developing codes based on Lagrangian, continuous
rezone (ALE) methods, or Free Lagrangian methods is preferred.
Familiarity with modern multidimensional methods for advection is desirable.
Extensive experience in FORTRAN coding on a variety of computing
platforms is required.

Los Alamos National Laboratory, located in the beautiful
mountains of northern New Mexico, is a multi-disciplinary,
multi-program laboratory employing over 6,000 technical
professionals conducting basic and applied research with the
overall mission to reduce global nuclear danger.

A Ph.D. in Applied Mathematics, Mathematical Physics, or in
another area in Scientific Computing completed within the
LAST THREE YEARS or soon to be completed is required.
Appointments have a duration of two years,
with possibility of extension for a third year.

Candidates may compete for a Director's
Fellowship and outstanding candidates may be considered for the
prestigious J. Robert Oppenheimer, Richard P. Feynman or Frederick
Reines Fellowships.
Further details about the Postdoctoral Program
may be found at:

For consideration, please submit a resume which also
contains lists of your publications, oral presentations,
and the names and addresses of three or more
references, along with a cover letter, and a 1 page proposal describing
your research plans to
(no attachments, please!) The proposal must follow
the outline specified at

OR SUBMIT TWO paper COPIES of the above material to:

Postdoc Program Office, PD006076
MS P290
Los Alamos National Laboratory
Los Alamos, NM 87545

NOTE: Advertisement PD006076 must be referenced in the
e-mail Subject line and in the cover letter.

Please also send copies of your application material to Esther Vigil,
MS B284, Los Alamos National Laboratory, Los Alamos,
New Mexico 87545; EMAIL:, FAX:505-665-5757.


From: George Cybenko <gvc@Dartmouth.EDU>
Date: Sun, 06 May 2001 22:22:25 -0400
Subject: Postdoctoral Positions at Dartmouth College

Two Postdoctoral Assistant Positions at Dartmouth College, Hanover, NH

The most important qualifications are a solid general computing background
and interest in working on modeling and analysis of large infrastructures,
using numerical and applied mathematics techniques. US Citizenship
is required by the sponsor. Applicants should contact

Susan Oldfield
Institute of Security Technology Studies
45 Lyme Road Suite 104
Hanover, NH 03755

Voice: 603-646-0680
Fax: 603-646-0666


From: Ronald F Boisvert <>
Date: Mon, 30 Apr 2001 09:00:32 -0400
Subject: Contents, ACM Transactions on Mathematical Software

Table of Contents
ACM Transactions on Mathematical Software
December 2000, Volume 26, Number 4

For more information, including abstracts and access
to full text, see

J.A.C. Weideman and S.C. Reddy
A MATLAB Differentiation Matrix Suite.

Linda Kaufman
An Observation on Bisection Software for the Symmetric
Tridiagonal Eigenvalue Problem.

Salvatore Filippone and Michele Colajanni
PSBLAS: A Library for Parallel Linear Algebra Computation on Sparse Matrices.

Linda Kaufman
Band Reduction Algorithms Revisited.

Naren Ramakrishnan and Ra=FAl E. Vald=E9s-P=E9rez
Note on Generalization in Experimental Algorithmics.

Christian H. Bischof, Bruno Lang and Xiaobai Sun
A Framework for Symmetric Band Reduction.

Christian H. Bischof, Bruno Lang and Xiaobai Sun
Algorithm 807: The SBR Toolbox -- Software for Successive Band Reduction.

Stuart Anderson
Remark on Algorithm 723: Fresnel Integrals.


From: Vladik Kreinovich <>
Date: Mon, 30 Apr 2001 14:22:54 -0600 (MDT)
Subject: Contents, Reliable Computing

Reliable Computing
Volume 7, issue 5, 2001
Mathematical Research

Idempotent Interval Analysis and Optimization Problems
Grigori L. Litvinov, Andrei N. Sobolevskii

Verified High-Order Inversion of Functional Dependencies
and Interval Newton Methods
Martin Berz, Jens Hoefkens

Cheap and Tight Bounds on the Solution Set of Perturbed Systems of
Nonlinear Equations
Lubomir V. Kolev, Ivo P. Nenov

On Maximal Inner Estimation of the Solution Sets of Linear Systems with
Interval Parameters
Irene A. Sharaya

Short Communication

An Example of Singularity in Nonlinear Systems
R. Baker Kearfott

Claude E. Shannon (1916--2001)


From: George Anastassiou <>
Date: Tue, 01 May 2001 17:02:50 -0500
Subject: Contents, Journal of Computational Analysis and Applications



1)On the Construction of Cosine Operator Functions and Semigroups on
Function Spaces with Generator;Theory,...1

2)Stable recovery of Analytic Functions using basic Hypergeometric
V.K.Tuan and Z.Nashed,

3)Discrete Competitive and Cooperative Models of Lotka-Volterra
P.Liu and S.Elaydi

4)Improved Criteria for Identifying Optimal basic and Nonbasic variables
in LP,...75
K.Paparrizos,G.Stephanides,and N.Samaras

5)Comparative Analysis of Cubic Spline and Kernel Estimation of a profit

II)Vol.3,No.2,April 2001:

1)On an Extremal Scale of Approximation Spaces,...95
F.Feher and G.Grassler

2)On Some Integral and Tail Inequalities motivated by Kesava Menon's
V.Culjak,N.Elezovic, and J.Pecaric

3)Parallel Asynchronous Global Search and the Nested Optimization
Y.Sergeyev and V.Grishagin

4)A quadrature formula based on Sampling in Meyer Wavelet

5)The Asymptotic Expansion and Numerical Verification of Van der Pol's
E.Deeba and S.Xie

6)Laguerre Tau methods for solving Higher-Order Ordinary Differential


End of NA Digest