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

- Hamilton-Jacobi Equation
- A Sum of Exponentials
- Computational Optimization and Applications Software Forum
- New Book, Computing the Zeros of Analytic Functions
- New Book Series
- Manuscript on Hybrid Multiscale Simulation Technology
- Journal of Scientific Computing
- Workshop on TLS and Errors-in-variables Modeling
- Faculty Position at SUNY, Brockport
- Positions at Edinburgh Parallel Computing Centre
- Postdoctoral Position at University of Texas at Dallas
- Contents, IMA Journal of Numerical Analysis
- Contents, Journal of Approximation Theory
- Contents, Linear Algebra and Its Applications

**URL for the World Wide Web:**
http://www.netlib.org/na-net/na_home.html

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

From: Vincent Picaud <picaud@ige.univ-fcomte.fr>

Date: Wed, 12 Apr 2000 15:37:17 +0200

**Subject: Hamilton-Jacobi Equation**

I'm PhD student using the level-set method. But I encountered the following

problem (presented here in 2D) which I think can interest people working

on numerical methods for the Hamilton-Jacobi equation.

Statement of the problem :

-> From the level-set method :

D[Phi,t] + F.Norm[Grad[Phi]]=0

I introduce the following speed F=tn.M.n where n is the

normal vector (n=Grad[Phi]/Norm[Grad[phi]]), tn

the transposition of this vector and M the 2x2 matrix below:

| vx 0 |

M= | 0 vy |

So, the level-set equation gives the following Hamilton-Jacobi

equation :

D[Phi,t] + H[ D[Phi,x], D[Phi,y] ] = 0

where the non-convex hamiltonnian is

H[X,Y]= (vx*X*X+vy*Y*Y)/sqrt[X*X+Y*Y]

In my problem vx >> vy, say vx = 100 and vy = 1

The solution of this equation (zero of Phi) is a long "ellipsoid" with

a speed of propagation on the x direction of vx=100 and in the y

direction vy=1 :

y

^

|--> x

t=0 /\

\/

t=1 ________/\_________

\/

___

t=2 ______________/ \________________

\___/

I try different methods (Lax-Friedrichs...) but these methods can't

catch the high speed in the x-direction,

instead I get a calculated speed far below vx=100 (about 60 for

instance).

-> I hope I don't bother you, but I think this is an intersting test

problem for numerical method, because none of the methods I have test

give the correct vx speed.

-> I need help if you have already meet this kind of problem.

What kind of numerical scheme should I use ? (-> It is important to me ).

Thanks,

V. PICAUD

PhD student in applied superconductivity

IGE - BELFORT

- FRANCE -

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

From: Iain Jameson <iain.jameson@dsto.defence.gov.au>

Date: Tue, 11 Apr 2000 10:07:03 +0930

**Subject: A Sum of Exponentials**

Is there a closed form solution to

Sum_{n=0}^{N-1} exp(i[a*n + b*n^2])

a and b are real.

Alternatively, is there a known approximation?

Thank you

Iain Jameson

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

From: Bill Hager <hager@math.ufl.edu>

Date: Fri, 14 Apr 2000 17:36:35 -0400 (EDT)

**Subject: Computational Optimization and Applications Software Forum**

The Computational Optimization and Applications (COAP) Software Forum

is available at the following web site:

http://www.math.ufl.edu/~coap

This web site was provides access to benchmarks for optimization

software (maintained by Hans Mittelmann), a software guide (Hans Mittelmann

and Peter Spellucci), software connected with articles published in the

COAP journal (Neculai Andrei), and test problems. Presently, the test

problem section focuses on the problems in David Gay's netlib/lp

test set. One can download the problems in MPS format (as given in

netlib/lp), LP format (using a code of Mauricio Rescende), Matlab format

(courtesy of Timothy Davis), Harwell/Boeing format (courtesy of Timothy Davis),

AMPL format (using an awk script from netlib/ampl), and LP_Solve format

(code extracted from Michel Berkelaar's LP_Solve by Hans Mittelmann). Plots of

the sparsity pattern of the matrices can be viewed (Timothy Davis).

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

From: Peter Kravanja <Peter.Kravanja@cs.kuleuven.ac.be>

Date: Mon, 10 Apr 2000 10:47:21 +0200 (CEST)

**Subject: New Book, Computing the Zeros of Analytic Functions**

Dear colleagues,

I'm pleased to announce that the following book has appeared:

Peter Kravanja and Marc Van Barel

COMPUTING THE ZEROS OF ANALYTIC FUNCTIONS

Lecture Notes in Mathematics, vol. 1727, Springer, 2000.

ISBN 3-540-67162-5

http://www.springer.de/cgi-bin/search_book.pl?isbn=3-540-67162-5

Summary:

Computing all the zeros of an analytic function and their respective

multiplicities, locating clusters of zeros of analytic functions,

computing zeros and poles of meromorphic functions, and solving

systems of analytic equations are problems in computational complex

analysis that lead to a rich blend of mathematics and numerical analysis.

This book treats these four problems in a unified way. It contains not

only theoretical results (based on formal orthogonal polynomials or

rational interpolation) but also numerical analysis and algorithmic

aspects, implementation heuristics, and polished software (the package

ZEAL) that is available via the CPC Program Library. Graduate students

and researchers in numerical mathematics will find this book very readable.

Key-words:

computational complex analysis, zeros of analytic functions, formal

orthogonal polynomials, rational interpolation

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

From: T. E. Simos <tsimos@mail.ariadne-t.gr>

Date: Wed, 12 Apr 2000 03:12:34 +0300

**Subject: New Book Series**

Dear Colleagues,

I am the Editor of a new book series of NOVA SCIENCE PUBLISHERS entitled

"Computational and Numerical Methods in Physics".

In the present series of books we will publish research books and

textbooks on the above subject. Monographs and Proceedings of

Conferences or workshops are also welcome. Special volumes on the above

subject are also welcome.

If you are intersting to publish in the new book series of Nova Science,

I would greatly appreciate to discuss with you your idea. Please send an

email to:

tsimos@mail.ariadne-t.gr

Sincerely yours

Dr. T.E. Simos

Editor of the New Series

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

From: Sergio Lipatov <lipat@dials.ccas.ru>

Date: Thu, 13 Apr 2000 10:27:08 +-400

**Subject: Manuscript on Hybrid Multiscale Simulation Technology**

Dear Colleagues,

I am preparing a manuscript titled "INTRODUCTION TO THE HYBRID

MULTISCALE SIMULATION TECHNOLOGY: Application to Space and Plasma Physics"

for Springer-Verlag Publisher.

This monograph address researchers and students. The first part of the book

is devoted to computational models and numerical methods. We discuss here

the hybrid codes, which include a wide spectrum of description for ions,

positrons, dust grains, atoms and electrons: particle, gyrokinetic,

guiding center, orbit-averaging approaches, photoionization and charge

exchange effects. The detailed description of all main steps of multiscale

hybrid simulation and corresponding numerical methods is presented in this

part. The second part of this book is devoted to application of simulation

technigue to study the basic plasma phenomena: wave generation by beams and

plasma clouds, particle acceleration and dissipation processes inside

collisionless shocks and current sheets. Other topics of this part are

devoted to study the global interaction of the solar wind with nonmagnetic

planets, comets, and the local interstellar medium.

This manuscript may be considered as a textbook also. I have to find the

lecturers who may use the results of plasma (and particular hybrid)

simulations in their course, and how many students attend their course.

Do You know who may be interested to use any parts from this MS for their

lectures in your University?

I shall be happy if You would like to help me.

Thanks a lot in advance.

Best regards

Alexander Lipatov

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

From: Chi-Wang Shu <shu@cfm.brown.edu>

Date: Sat, 15 Apr 2000 08:22:43 -0400 (EDT)

**Subject: Journal of Scientific Computing**

Journal of Scientific Computing

Recently the editorial board of this journal has been reorganized and

expanded. This journal is published quarterly by the Kluwer Academic /

Plenum Publishers. It is an international interdisciplinary forum

for the publication of papers on state-of-the-art developments in scientific

computing and its applications in science and engineering. The journal

publishes high-quality, peer-reviewed original papers, review papers and

short communications on scientific computing. The editorial board consists

of Chi-Wang Shu and Christine Bernardi as Editors, David Gottlieb,

Bertil Gustafsson, Yvon Maday and Steven Orszag as Associate Editors,

and (incomplete list) Mohamed Amara, Eytan Barouch, Marc Benard,

Jacques Blum, Claudio Canuto, Bernardo Cockburn, Knut Eckhoff, Uriel

Frisch, Daniele Funaro, Roland Glowinski, Isaac Goldhirsch, Antony Jameson,

Martin Kruskal, Pierre Sagaut, Remi Sentis, Sauro Succi, Masahisa Tabata,

Tao Tang, Roger Temam, Jean Vila and Ye Zhou as members. Inquiries and

manuscripts (ps or pdf files only with a cover letter) can be submitted

electronically to the Editors at shu@cfm.brown.edu or bernardi@ann.jussieu.fr.

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

From: Sabine Van Huffel <Sabine.VanHuffel@esat.kuleuven.ac.be>

Date: Fri, 14 Apr 2000 15:35:23 +0200 (MET DST)

**Subject: Workshop on TLS and Errors-in-variables Modeling**

3rd International Workshop on

TLS and ERRORS-IN-VARIABLES MODELING

August 27--29, 2001

Arenberg castle, Leuven, Belgium

Announcement and Call for Papers

This interdisciplinary workshop is a continuation of 2 previous workshops

which were held in Leuven, Belgium, August 1991 and 1996, and aims to

bring together numerical analysts, statisticians, engineers, economists,

chemists, etc. in order to discuss recent advances in Total Least Squares

(TLS) techniques and errors-in-variables modeling.

Papers are solicited for technical sessions on the following and related

topics:

TLS Concepts and Properties: structured and constrained TLS, other norms,

misfit versus latency errors, nonlinear measurement error models,

dynamic errors-in-variables, curve fitting, statistical, numerical,

robustness and optimization aspects;

TLS Algorithms: real-time, adaptive, recursive, neural, iterative algorithms,

based on SVD or related decompositions, architectures, complexity,

accuracy, regularization, convergence;

TLS Applications: array signal and image processing, model identification,

computer vision, document retrieval, spectral analysis, harmonic

retrieval, direction finding, geology, chemistry, biomedicine.

In particular, overview papers describing recent advances on any of the

above-mentioned topics are invited. Other topics related to TLS,

errors-in-variables modeling, and their applications are also welcome.

Authors are invited to submit four copies of an extended summary (2--4 pages)

to the workshop secretariat for review. Fax number and email should be

provided if possible. Overview papers will be presented as lecture, the

other ones in poster form. Authors of accepted contributions will be asked

to prepare a version for publication in the conference proceedings.

Submission of summary: February 15,2001

Notification of Acceptance: April 1, 2001

Submission of camera-ready paper: July 1, 2001

Conference committee: Sabine Van Huffel (chairperson), Bart De Moor, Yasuo

Amemiya, Leon Gleser, Gene Golub, Bjorn Ottersten, Rik Pintelon,

G. W. (Pete) Stewart and Paul Van Dooren.

Workshop secretariat: Ida Tassens <ida.tassens@esat.kuleuven.ac.be>

Dept. of Electrical Engineering, ESAT-SISTA/COSIC,

Katholieke Universiteit Leuven,

Kardinaal Mercierlaan 94, B-3001 Leuven-Heverlee, Belgium

tel : 32/16/32.17.09 fax : 32/16/32.19.70

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

From: Osman Yasar <oyasar@brockport.edu>

Date: Wed, 12 Apr 2000 10:25:39 -0400

**Subject: Faculty Position at SUNY, Brockport**

State University of New York, College at Brockport

Department of Computational Science

Tenure-track Assistant Professor in Computational Science,

starting in Fall 2000. Ph.D. in Computational Science, or a

closely related discipline required. Candidates should have

a strong commitment to undergraduate and graduate education

in computational science. A strong background in computational

tools, scientific visualization, computer science, and applied

mathematics is desired. Promise of continued activity in

computational research and pursuit of external funding are

required. Ability to interact with local industries is also

expected. Review of applications will begin on April 17, 2000.

Applications will continue to be accepted until the position is

filled. Send letter of application, resume, transcript of the

highest degree earned, and three letters of recommendation to

Mr. Richard D. Meade

Faculty/Staff Recruitment Office

State University of New York, College at Brockport

350 New Campus Drive, Rm 409 Allen

Brockport, NY 14420-2929

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

From: Gavin J Pringle <gavin@epcc.ed.ac.uk>

Date: Mon, 10 Apr 2000 11:55:15 +0100 (BST)

**Subject: Positions at Edinburgh Parallel Computing Centre**

Current Vacancies in EPCC

Edinburgh Parallel Computing Centre (EPCC) is a technology transfer

centre in the University of Edinburgh, Scotland, which promotes the

exploitation of High Performance Computing (HPC) in industry and

academia. Established in 1990, it now has around 45 staff,

first-class facilities (including a 344-processor Cray T3E), and a

client list ranging from local companies to multi-nationals and

computer vendors.

Applications Consultants (3 posts)

Currently, three vacancies exist for applications consultants at EPCC.

Duties will include the porting and optimisation of novel,

computationally intensive applications on HPC systems, and providing

technical consultancy to both industrial and academic users. Good

communication skills are important and there are opportunities to

produce training material and technical reports.

Candidates must be competent in either Fortran or C, have good

numerical skills, and should be adaptable and self-motivated. Other

useful technical skills are a good grounding in scientific research,

computer science, numerical simulation or visualisation.

More information about these posts can be found on EPCC'c WWW pages:

Vacancies: http://www.epcc.ed.ac.uk/admin/Jobs/

Home Page: http://www.epcc.ed.ac.uk/

Please quote REF: 306223

Further particulars and details of the application procedure should be

obtained from:

Personnel Office

The University of Edinburgh

9 - 16 Chambers Street

Edinburgh EH1 1HT

Tel 0131-650-2512 (24 hour answering service)

Or apply through http://www.personnel.ed.ac.uk/

Closing date: 19 May 2000

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

From: Saleet Jafri <jafri@utdallas.edu>

Date: Thu, 13 Apr 2000 10:43:40 -0500

**Subject: Postdoctoral Position at University of Texas at Dallas**

Position: Research Associate

Institution: The University of Texas at Dallas

Location: Dallas, TX

Deadline: 6/1/00 or when position is filled

Project Description: The cellular basis of cardiac myocyte energetics under

normal and ischemic conditions will be investigated by studying the major

components for energy production and utilization. This will be accomplished

by pursuing an interdiciplinary approach combining experiments (33%) and an

integrative modeling study (67%) directed at understanding the

interplay between Ca-handling, force generation, membrane currents and

glycolytic and mitochondrial respiration. The modeling will be done under

the supervision of Prof. Saleet Jafri and the experiments will be done under

the supervision of Prof. Dean Sherry.

Qualifications: Candidate should have a Ph.D. or M.D. with experience in

mathematical and computational modeling of biological systems and proven

interest in experimental methods.

Application: Send curriculum vitae, the names of three references, and a

description of past research experience and research interests to the

following address:

M. Saleet Jafri

Department of Mathematical Sciences EC35

The University of Texas at Dallas

Box 830688

Richardson, TX 75083

Phone: 972-883-4436

Fax: 972-883-6622

email: jafri@utdallas.edu

UT-Dallas is an EEO/AA employer.

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

From: Iain Duff <I.Duff@rl.ac.uk>

Date: Mon, 10 Apr 2000 22:21:11 +0100 (BST)

**Subject: Contents, IMA Journal of Numerical Analysis**

IMA JOURNAL OF NUMERICAL ANALYSIS

Contents of Volume 20, Number 2.

A. Ostermann and M. Thalhammer

Non-smooth data error estimates for linearly implicit Runge-Kutta methods.

pp 167-184

R. Sch\"atzle

On the perturbation of the zeros of complex polynomials.

pp 185-201

B. Faermann

Localization of the Aronszajn-Slobodeckij norm and application to adaptive

boundary element methods. Part I. The two-dimensional case.

pp 203-234

A. Dur\'an and J.M. Sanz-Serna

The numerical integration of relative equilibrium solutions. The nonlinear

Schr\"odinger equation

pp 235-261

C. Clavero, J.C. Jorge, F. Lisbona and G.I. Shishkin

An alternating direction scheme on a nonuniform mesh for reaction-diffusion

parabolic problems.

pp 263-280

M. Sardella

On a coupled finite element-finite volume method for convection-diffusion

problems.

pp 281-301

K. Atkinson

The planar radiosity equation and its numerical solution.

pp 303-332

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

From: Thomas Hogan <hogan@math.ohio-state.edu>

Date: Mon, 10 Apr 2000 18:20:19 -0400 (EDT)

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

Table of Contents: J. Approx. Theory, Volume 103, Number 2, April 2000

D. P. Dryanov and V. Vatchev

On a polynomial inequality of Paul Erd\H{o}s

183--205

Pradipta Bandyopadhyay and T. S. S. R. K. Rao

Central subspaces of Banach spaces

206--222

Grzegorz W. Wasilkowski and Henryk Wo\'zniakowski

Complexity of weighted approximation over $\RR^1$

223--251

D. L. Ragozin and J. Levesley

The density of translates of zonal kernels on compact homogeneous

spaces

252--268

Michael Revers

The divergence of Lagrange interpolation for $|x|^\alpha$ at

equidistant nodes

269--280

Ying Guang Shi

On Christoffel type functions for $L_m$ extremal polynomials, I

281--291

Salvador Romaguera and Manuel Sanchis

Semi-Lipschitz functions and best approximation in quasi-metric spaces

292--301

Ingo Steinwart

Entropy of $C(K)$-valued operators

302--328

Dietrich Braess and Christoph Schwab

Approximation on simplices with respect to weighted Sobolev norms

329--337

Peter G. Casazza and Ole Christensen

Approximation of the inverse frame operator and applications to

Gabor frames

338--356

Note

J. Szabados

Where are the nodes of ``good'' interpolation polynomials on the

real line?

357--359

Author index for Volume 103

360

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

From: Hans Schneider <hans@math.wisc.edu>

Date: Wed, 12 Apr 2000 19:49:46 -0500 (CDT)

**Subject: Contents, Linear Algebra and Its Applications**

ContentsDirect from Elsevier Science

URL: http://www.elsevier.nl/locate/jnlnr/07738

Journal: Linear Algebra and Its Applications

ISSN : 0024-3795

Volume : 308

Issue : 1-3

Date : 13-Apr-2000

pp 1-29

Normal forms of generic triangular band matrices and Jordan forms of

nilpotent completions

MI Gekthman, L Rodman

pp 31-64

Generalized-confluent Cauchy and Cauchy-Vandermonde matrices

ZHENGHONG Yang

pp 65-75

Pascal k-eliminated functional matrix and it's property

M Bayat

pp 77-84

Matrix young inequalities for the Hilbert-Schmidt norm

O Hirzallah, F Kittaneh

pp 85-107

Representation and approximation of the outer inverse A_T,S^(2) of a

matrix A

YONGLIN Chen

pp 109-119

Metric projection and stratification of the Grassmannian

M Finzel

pp 121-137

Spectrally arbitrary patterns

JH Drew, P Van Den Driessche

pp 139-152

Decomposable numerical ranges on orthonormal tensors

CK Li

pp 153-161

Estimates for the spectrum near algebraic elements

Y Chen, T Ransford

pp 163-181

An extension problem for discrete- time almost periodically

correlated stochastic processes

D Alpay

pp 183-202

Pade approximation for the exponential of a block triangular matrix

L Diece

pp 203-211

Notes on matrix arithmetic- geometric mean inequalities

R Bhatia

pp 217-217

Author index

Journal: Linear Algebra and Its Applications

ISSN : 0024-3795

Volume : 309

Issue : 1-3

Date : 20-Apr-2000

Proceedings of the international worskhop on accurate solutions of eigenvalue

problems

Special editors: Jesse L. Barlow, Beresford N. Parlett, Kresimir Veslic

pp 1-2

Preface: The Accurate solution of Eigenvalue Problems

JL Barlow

pp 3-18

Weyl-type relative perturbation bounds for eigenvalues of Hermitian

matrices

FM Dopico, JM Molera

pp 19-43

Optimal perturbation bounds for the Hermitian eigenvalue problem

JL Barlow

pp 45-56

Absolute and relative perturbation bounds for invariant subspaces of

matrices

ICF Ipsen

pp 57-72

Relative perturbation theory for hyperbolic eigenvalue problem

I Slapnicar

pp 73-83

Accuracy assessment for eigencomputations: variety of backward errors

and pseudospectra

F Chaitin-Chatelin, E Traviesas

pp 85-102

Perturbation theory for the eigenvalues of factorised symmetric

matrices

K Veselic

pp 103-119

Rounding-error and perturbation bounds for the indefinite QR

factorization

S Singer

pp 121-151

Relatively robust representations of symmetric tridiagonals

BN Parlett

pp 153-174

QR factorization with complete pivoting and accurate computation of

the SVD

NJ Higham

pp 175-190

Exponential splittings of products of matrices and accurately

computing singular values of long products

S Oliveira, DE Stewart

pp 191-215

Approximate eigenvectors as preconditioner

Z Drmac

pp 217-259

An implementation of dqds algorithm (positive case)

BN Parlett

pp 261-287

Balancing sparse matrices for computing eigenvalues

TY Chen, J Demmel

pp 289-306

Large sparse symmetric eigenvalue problems with homogeneous linear

constraints: the Lanczos process with inner-outer iterations

GH Golub, H Zha

pp 307-323

The influence of orthogonality on the Arnoldi method

T Braconnier

pp 325-337

The relative error in the Pruess method for Sturm-Liouville problems

P Kosowski

pp 339-361

Backward error and condition of polynomial eigenvalue problems

F Tisseur

pp 363-363

Author index

NOTE:

ContentsDirect, which is automatically generated, lists the first author

of each paper and the corresponding author (if different).

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

End of NA Digest

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