NA Digest Sunday, April 20, 1997 Volume 97 : Issue 16

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

Submissions for NA Digest:

Mail to

Information about NA-NET:

Mail to

URL for the World Wide Web: -------------------------------------------------------

From: Joseph Grcar <>
Date: Mon, 14 Apr 97 13:29:17 -0700
Subject: Who Invented Euler's Method?

History question:

Why is Euler's method (for discretizing ode's) called Euler's
method? Did Euler invent it? If not he, then who? And who
is responsible for distinguishing between the explicit and
implicit versions as "forward" and "backward"?

Regards, Joe Grcar (


From: D. Kenneth McLain <>
Date: Mon, 14 Apr 1997 15:25:09 -0400 (EDT)
Subject: Solution Method in Search of Problems

Consider the following mathematical problem: Given e>0 and complex constants
Cjk, j=2,3,...,N, k=1,2,...,j, find dj such that

|C21 + C22*exp(i*d2)| < e

|C31 + C32*exp(i*d2) + C33*exp(i*d3)| < e


|CN1 + CN2*exp(i*d2) + ... + CNN*exp(i*dN)| < e

This mathematical problem arises from the physical problem of trying to limit
the radial runout of combustion turbine rotors constructed of disks stacked
face-to-face. These disks have machining errors resulting in the faces being
non-parallel and not aligned. The variables dj are the angular orientations
of the disks.

I have developed a method of finding a solution to this problem by converting
the (N-1)-dimensional search problem into (N-1) sequential one-dimensional
search problems. For N=100 I find a solution in a few seconds on a PC.

Does anyone know of any other physical problems which are described
mathematically by the above set of inequalities?

Ken McLain


From: Kwon Park <jkjain@MIT.EDU>
Date: Mon, 14 Apr 1997 22:13:55 EDT
Subject: Permutations of a Set of Integers

Dear NA-net members,

Is there an efficient algorithm for generating all the N! (N-factorial)
permutations of a set of N integers?

Would appreciate learning about any shareware code or book that
addresses this problem.

Thank you very much.

Kwon (Kwark) Park


From: Jim Epperson <>
Date: Wed, 16 Apr 1997 16:04:12 -0500 (CDT)
Subject: Orthogonal Polynomial Archive

One can of course learn all one wants to know about the classic
orthogonal polynomials in a book such as Abramowitz and Stegun, but I am
curious if anyone has archived collections of "non-standard" orthogonal
polynomials anywhere.

Can anyone point me to a source? I'd hate to re-invent the wheel if
there is something out there I can use.

Jim Epperson


From: Ji Wang <>
Date: Fri, 18 Apr 97 08:43:42 PDT
Subject: Coupled Eigenvalue Problem


I have a coupled eigenvalue problem like

KX+P^T Y=\omega^2 MX,

The coupling matrices P and Q have very small elements comparing with
the principal one, K. For the first part, KX-\omega^2MX=0, I can
solve it without any problem. To consider the coupling, I am trying
to form a general matrix problem like

GZ-\omega^2 LZ=0,


G=[K P^T] L=[M 0] Z=[X]
[P - Q], [0 0], [Y].

Apparent this does not work. In the past, people are using
pertubation method to get solutions.

Are there any techniques to solve the generalized problem rather
than going to using perturbation?

Any comments and suggestions are welcome.


Ji Wang | Tel: (415)843-8336 Fax: (415)843-9106
Epson Palo Alto Laboratory | Email:
3145 Porter Drive, Suite 104 | Coordinates: N 37.40806 W 122.14941
Palo Alto, CA 94304-1224 | WWW:


From: Charles Crawford <>
Date: Mon, 14 Apr 1997 22:17:31 -0400
Subject: Change of Address for Charles Crawford

Greetings: I am moving electronically (not geographically) to a new

-- Charles Crawford
formerly at


From: Xiao Feng <>
Date: Tue, 15 Apr 1997 17:32:16 +0900 (JST)
Subject: Change of Address for Feng Xiao

I have moved to The Institute of Physical and Chemical Research (RIKEN)
from Gunma University since the beginning of April. My new coordinates are:

Feng Xiao
Computational Science Laboratory
Institute of Physical and Chemical Research(RIKEN)
Hirosawa 2-1, Wako-shi, Saitama, 351-01, Japan


From: Vagif Ibrahimov <>
Date: Wed, 16 Apr 1997 11:02:05 +0400
Subject: Note from a Colleague in Azerbaijan

Dear colleagues,

I want to remind you of the economical situation in our Republic of
Azerbaijan, because of it we cannot receive scientific journals
and we are distracted from scientific world. Naturally scientific
world cannot receive some information about our researches.
Therefore I want to know, how can you help me? Maybe for finding
some funding to support my participate in conferences (I received
some invitation from the conferences. Problem is in financial difficulty)
or help me to fined some position for teaching at the Universities.
I send you some information about me.

We inverstigate nimerical solution of the initial value problem
for the ODE arbitrary orders. For this aim consider multistep
multiderivative methods (k-step Obrechkoff's methods) with
constant coefficients. We determined the maximal values of the
degree (maximal exactness of the considered methods) for the stable
explicit, implicit and forward-jumping methods. Also we inverstigated
l-stable methods. We suggested multistep multiderivative methods for
solving ODE arbitrary orders and show that it is effective.
Constructed A-stable method with the high degree ( degree p>2) by
the k-step method with the arbitrary coefficicnts and by the multistep
multiderivative forward-jumping methods. These results are developming
some G.Dahlquist and A.Iserles and S.P.Norsett's results. Now we
research to determine the sign of some coefficients in multi-step
multiderivative and in k-step forward-jumping method and relation
among them.

More information about my work, including a curriculum vitae, is
available on request.

Vagif Ibrahimov

Contact adress:
Faculty Mechanics and Mathematics, Baku State University
M. Rasulzadeh Z. Khalilov str. 23, Baku 370148 Azerbaijan

Home adress:
370006, Baku-6, pr. N. Narimanov 51/53, flat 29, tel: 39-46-74
Fax: 0099412 + 973029


From: Stefan Turek <>
Date: Fri, 18 Apr 1997 15:14:33 +0200
Subject: Navier-Stokes Software Available

Dear colleagues,

Our FEM software for incompressible Navier-Stokes equations, FEATFLOW1.0,
including all sources, manuals and many (!) demos for nonstationary flows
(as MPEG movies), is "downloadable" via Internet, see

Stefan Turek
Institut fuer Angewandte Mathematik, Universitaet Heidelberg, Germany


From: Harvey Greenberg <>
Date: Wed, 16 Apr 1997 12:25:07 -0600 (MDT)
Subject: Software for Linear and Mixed Integer Programs

April 16, 1997

The linux versions of ANALYZE, MODLER and RANDMOD, as well as that of
MINOS, have been re-compiled with linux 2.0.0. The DOS version of MODLER
9.0 has also been updated.

These systems are for linear and (mixed) integer programs.

ANALYZE - computer-assisted analysis.
MODLER - modeling language.
RANDMOD - randomizing instances (for experimentation).

For details please go to the software segment of my web page at

April 19, 1997

I have added "A Laboratory Manual for Teaching Linear Programming with
MODLER and ANALYZE". This is a web (html) version of the June 1994
printed version. It contains 29 exercises in four categories:
Basic structures, Formulation and Analysis, Binary variables and
logical contstraints, and Advanced exercises. The lab manual is on a
new page of mine, called my "courseware page,"

You will also find an LP Short course I am developing, and I welcome
your comments as I shall be completing it this year.

Please see my mathematical programming glossary and tell me what you think.
Feel free to link to it.

Harvey J. Greenberg


From: Jeff Cash <>
Date: Thu, 17 Apr 97 17:27:47 BST
Subject: New Code for Stiff and Differential-algebraic Equations


This is to announce a new code mebdfdae.f for the solution of
stiff initial value problems and differential algebraic equations
in linearly implicit form. The underlying algorithm is
based on modified extended backward differentiation formulae.
These formulae have considerably better stability than BDF and
are A-Stable up to order 4 and A(alpha)-Stable up to order 9.
Results for mebdfdae.f on the stiff DETEST test set together with
the corresponding results for STRIDE, RADAU5, LSODE and DESI
(which may be used as comparisons) are available by anonymous ftp
and the web. Also available are results for most of the test
problems in the book of Hairer and Wanner. The main addition is that
results are also given for a set of DAEs of index 1-3 taken
from a variety of texts. These include pendulum problems, spring
problems and some of the challenging problems from the Amsterdam test
The code, drivers and results are available from:
email from the author,
Any comments (good or bad) will be gratefully received by the
author on

-- Jeff Cash


From: Gaetano Continillo <>
Date: Fri, 18 Apr 97 13:48:45 METDST
Subject: Announcement of a New Journal

Although not exactly centered on numerical analysis,
Combustion Theory and Modelling is a journal that
has a broad overlap with NA topics, that often
constitute the spinal chord of modern mathematical
modelling of combustion phenomena.


Gaetano Continillo
Combustion Theory and Modelling

Announcement of a new journal: Combustion Theory and Modelling

Combustion Theory and Modelling is a new quarterly journal
by the Institute of Phisics Publishing, for the publication
and dissemination of scientific articles that apply mathematical
theory, modelling, numerical simulation and experimental
techniques to the study of combustion.

Editors-In-Chief are Bill Dold, UMIST, Manchester, UK
and Mitch Smooke, Yale University, New Haven, CT, USA.
With its international Editorial Board, Combustion
Theory and Modelling will focus on providing the highest
quality forum for articles that explain combustion phenomena
and that explore the predictions and properties of
combustion models from a modern mathematically-based viewpoint.

The journal encourages submissions on fundamental theoretical
investigations into all aspects of combustion, aimed at gaining a
deeper understanding of its various phenomena and at strengthening
the predictive power of theoretical methods.

Articles can cover a wide range of topics such as: premixed
laminar flames, laminar diffusion flames, turbulent combustion,
fires, chemical kinetics, pollutant formation, microgravity,
materials synthesis, vapour deposition, catalysis, droplet and
spray combustion, detonation dynamics, thermal explosions,
ignition, energetic materials and propellants, burners and engine
combustion. A wide range of mathematical methods may also be
used, including large scale numerical simulation, hybrid
computational schemes, front tracking, adaptive mesh refinement,
optimised parallel computation, asymptotic methods and singular
perturbation theory, bifurcation theory, optimisation methods,
dynamical systems theory, cellular automata and discrete
methods, probabilistic and statistical methods, and rigorous
proofs for mathematical problems that are posed directly from
models of combustion.

Combustion Theory and Modelling also accepts multimedia
material and would like to encourage the submission of
multimedia supplements to regular articles.

Submissions should be sent to

The Managing Editor
Combustion Theory and Modelling
Institute of Physics Publishing
Dirac House
Temple Back
Bristol BS1 6BE

More information is available at


From: Hien Tran <>
Date: Fri, 18 Apr 1997 16:04:29 -0400
Subject: Industrial Mathematics Modeling Workshop

1997 Industrial Mathematics Modeling Workshop for
Graduate Students
August 4-12, 1997
Center for Research in Scientific Computation
North Carolina State University


* to expose 30 graduate students in mathematics and statistics to the
challenging and exciting real-world problems from industry and
government laboratories

* to introduce students to the team approach to problem solving


In the Workshop the students will be divided into six teams to work
on "industrial mathematics" problems brought on by experienced applied
mathematicians. These problems are not academic exercises found in
classrooms, but rather challenging, real-world problems from industry
or applied science and require fresh, new insight for their formulation
and solution. In last year Workshop, the problems were presented by
scientists and researchers from Aerospace Corporation, Armstrong Lab.
at Brooks AFB, Chemical Industry Institute of Toxicology, Hughes Aircraft
Company, Lord Corporation and National Security Agency. The problem
presenters for this year Workshop are being recruited and their names
will be announced subsequently.


Fernando Reitich, North Carolina State University
Jeffrey Scroggs, North Carolina State University
Hien Tran, North Carolina State University


Graduate students in mathematics, applied mathematics, numerical
analysis, statistics or operations research can be nominated for this
program by a faculty member by sending a letter of recommendation. In
addition, the student is required to send in a copy of a recent transcript.
The deadline for application is June 30, 1997. The Workshop will cover
all local living expenses and will provide partial support for travel to
all U.S. citizens and permanent residents (subject to funding availability).
Funding for this Workshop has been requested with the National Security
Agency and the National Science Foundation.

Submit your complete applications or any inquiries you may have concerning
this Workshop to:

Hien T. Tran
Center for Research in Scientific Computation
Box 8205
North Carolina State University
Raleigh, NC 27695-8205
Telephone: (919) 515-8782
Fax: (919) 515-1636


From: Ken Jackson <>
Date: Fri, 18 Apr 1997 19:09:56 -0400
Subject: Southern Ontario Numerical Analysis Day

The Fifteenth Annual Southern Ontario Numerical Analysis Day will be
held on Wednesday, 30 April 1997, in the Computer Science Department of
the University of Toronto. The meeting will begin at 9:00 a.m. and end
at about 6:30 p.m.

The distinguished speaker for the day is Professor Bob Russell of the
Mathematics Department of Simon Fraser University. Bob will give a
one-hour talk on "A Moving Mesh Method for Higher Dimensional PDEs".
In addition, there will be 10 contributed talks of 25 minutes each, and
3 posters. All contributed talks will be given in the plenary session;
there will be no parallel sessions. The posters will be presented
during a short reception following the talks.

There is no registration fee for the conference, but we request that
you register by April 21 to help us prepare for the meeting.

For more information on NA Day, including the program, list of talks
and posters, and to register for the meeting, see our web page

If you do not have access to the web, email us at


From: Nikos Stylianopoulos <>
Date: Sat, 19 Apr 1997 11:45:25 +0300 (WET)
Subject: Computational Methods and Function Theory

Second announcement of the International Conference
Computational Methods and Function Theory '97

N. Papamichael (Nicosia), St. Ruscheweyh (Wurzburg), E.B. Saff (Tampa)

Nicosia, Cyprus October 13-17, 1997

The University of Cyprus will host the 1997 International Conference on
Computational Methods and Function Theory (CMFT '97) at the Philoxenia
Hotel in Nicosia from Monday, October 13 to Friday, October 17, 1997.
The meeting will be the third of a series of such conferences, the first
of which was held in Valapraiso, Chile, in 1989 and the second in Penang,
Malaysia, in 1994. The general theme of the meeting concerns the various
aspects of interaction of complex variables and scientific computation,
but other areas from function theory, approximation theory and numerical
analysis are also covered. Because of its geographical position, Cyprus
offers itself as an ideal place for the fulfillment of one of the major
objectives of the the CMFT meetings which is: ``to assist in the creation
and maintenance of contacts of scientists from diverse cultures''.

There will be nine invited 50-minute addresses as follows:

V.V. Andrievskii, Donetsk, Ukraine,
Zeros of polynomials in the complex plane
L.L. Baratchart, Sophia-Antipolis, France,
Rational or meromorphic approximation in Hardy spaces and Morse theory
P.L. Duren, Ann Arbor, Michigan, USA,
Robin capacity
F.W. Gehring, Ann Arbor, Michigan, USA,
Title to be announced later
A.L. Levin, Open University, Tel Aviv, Israel,
Fast decreasing rationals and their applications
A.Y. Solynin, St. Petersburg, Russia,
Conformal invariants: Some extremal problems and estimates
S. Smale, City University, Hong Kong
Issues of complexity and condition in complex variables
K. Stephenson, Knoxville, Tennessee, USA,
The approximation of conformal structures via circle packing
E. Wegert, Freiberg, Germany,
Nonlinear Riemann-Hilbert problems - History and perspectives

There will be several sessions for contributed 25-minute papers. The
abstracts of such contributed papers should be submitted to the Local
Organizing Committee, preferably by e-mail (using LaTeX), by May 15,
1997. Late submissions are not going to be considered. Participants
will be notified about acceptance by May 31, 1997.

All correspondence and inquiries should be addressed (preferably by
e-mail or fax) to:

The Local Organizing Committee (CMFT'97),
Department of Mathematics and Statistics,
P.O. Box 537,
CY 1678 Nicosia, Cyprus
Phone : +357-2-338701
Fax : +357-2-339061
e-mail :

For additional and updated conference information, please visit the
World Wide Web home page


From: Arne Marthinsen <>
Date: Sun, 20 Apr 1997 13:09:20 +0200
Subject: Conference on Modern Group Analysis

International Conference
Lie Groups and Contemporary Symmetry Analysis
Sophus Lie Conference Center, Nordfjordeid
Norway, June 30-July 5, 1997


Chairman of the Scientific Committee: Nail H. Ibragimov (South Africa)
Chairman of the Organizing Committee: Eldar Straume (Norway)

The 7th International Conference on Modern Group Analysis will take
place in Nordfjordeid, Norway, from Monday, June 30, to Saturday, July
5, 1997. Arrival day is Sunday June 29. The aim of the conference is
to bring together leading scientists in this field. The main topics of
the conference will include:

* Classical heritage and historical aspects of Lie group analysis
* Invariant and partially invariant solutions of differential equations
* Applications in fluid mechanics
* Symmetries in mathematical physics and physical chemistry
* Geometric and group theoretic analysis of initial value problems
* Applications in mathematics of finance and in industrial problems
* Approximate groups,perturbation methods and deformations of Lie algebras
* Group analysis of integro-differential and finite-difference equations
* Nonlocal, conditional and other generalized symmetries
* Computational aspects

The Organizers are pleased to report that more than 60 abstracts have
been received. Potential participants who are not already on our
mailing list should contact us as soon as possible to be registered.

The conference marks the formal opening of the Sophus Lie Conference
Center, and on this occasion recent biographical research on Sophus
Lie will be featured. In particular, two exhibitions will be presented
at the Center, and a biographical talk about Sophus Lie will be given
during the conference.

More information is available at URL:

Questions may be addressed by email to the organizing committee:


From: I. J. Anderson <>
Date: Mon, 14 Apr 1997 10:06:00 +0100
Subject: Studentship at University of Huddersfield

EPSRC CASE Studentship in Computational Mathematics
at University of Huddersfield

A 3-year CASE Project Award of an EPSRC PhD studentship plus
an additional GBP 2500 per annum is available from Sep/Oct 1997
with Professor J C Mason in the School of Computing and Mathematics
at the University of Huddersfield.

The project, "Approximation Algorithms for Data Fusion in
Metrology", is in cooperation with Professor M G Cox
of the National Physical Laboratory and involves data approximation
techniques, as well as related Kalman filtering and statistical
alternatives, for combining data sets of differing character in
industrial measurement. It will have a high
mathematical and numerical content, and contact with industry.

Applicants should have or expect a 2(i) honours degree or better
in a numerate discipline. Other relevant (e.g., MSc) experience
would be welcome.

CASE students are normally fully funded only for UK residents,
but EC students may be funded on a "fees only" basis.

Please contact :
Prof J.C.Mason
School of Computing and Mathematics
University of Huddersfield
United Kingdom

Phone : 01484 472680
01484 473133
Email :


From: Yves Tourigny <>
Date: Tue, 15 Apr 1997 11:16:07 +0100 (BST)
Subject: Studentship at University of Bristol

Ph.D studentship in computational PDEs at Bristol

There is an opportunity for a suitably qualified graduate
to work on an EPSRC funded project studentship
in the area of computational partial differential equations,
starting in October 1997.
The studentship is part of a project entitled

"Moving mesh multilevel methods for partial differential equations".

The aim of the project is to extend a moving mesh technique recently
developed for elliptic equations to problems of fluid flow.

EC citizens are eligible for full funding. For students from countries
outside the EC, the studentship does not cover the fees in full.
Please contact Yves Tourigny (
for further details. General information on postgraduate studies
within the Applied Mathematics and Numerical
Analysis Group, School of Mathematics, University of Bristol,
can be found at the URL


From: Mary Solberg <>
Date: Tue, 15 Apr 1997 14:28:07 -0700
Subject: Postdoctoral Position at Claremont Graduate School


Applications are invited from recent math sciences Ph.D.'s for
a post-doc position jointly funded by the NSF Mathematical Sciences
University-Industry Post-Doctoral Program and McDonnell Douglas
Aerospace. The mentors are Tuncer Cebeci from Douglas and
Ellis Cumberbatch from Claremont.

The research will involve studies in computational fluid dynamics.
Candidates should have strong backgrounds in numerical analysis,
computer programming and fluid dynamics.

The position is open immediately, and is currently funded for
twelve months. The position requires US citizenship or permanent
resident status. Applications will be closed June 2, 1997, but
an appointment may be made before that date. A vita and three
reference letters should be sent to

Ellis Cumberbatch, Mathematics Department
Claremont Graduate School, Claremont, CA 91711
Phone: 909-621-8080. Email:

CGS is an affirmative action/equal opportunity employer and
encourages applications from minorities and women.


From: WIAS-Berlin <>
Date: Tue, 15 Apr 97 10:50:05 +0200
Subject: Positions at Weierstrass Institute, Berlin

Weierstrass Institute
Applied Analysis and Stochastics (WIAS)

The Weierstrass Institute is an institute of the Forschungsverbund Berlin.
WIAS performs mathematical research projects in various fields of the
applied sciences. These research projects include:

* Modeling in cooperation with researchers from the applied sciences
* Mathematical analysis of these models
* Development of numerical algorithms and software
* Numerical simulation of processes in economy, science and technology

For further information, please contact the WIAS-Server

The Weierstrass Institute offers research positions starting 01.07.1997
for new projects jointly funded by the German ministry for science,
education and research (BMBF). For further information, please contact the


From: Dirk Roose <>
Date: Thu, 17 Apr 1997 09:14:37 +0200
Subject: Research Position at K. U. Leuven

Research position at K.U.Leuven on
Dynamic Load Balancing for Parallel Scientific Computing

The Scientific Computing research group at the dept. Computer Science,
K.U.Leuven, Belgium, has a vacancy for a researcher on a project about
dynamic load balancing for parallel finite element applications.

In this project, the Scientific Computing group of the K.U.Leuven
will collaborate with four other partners (in Germany and France) on the
development of dynamic load balancing techniques for parallel finite
element software packages, for time-dependent simulations using adaptive
These algorithms will be integrated in two commercial softwares. This is a
project in the Information Technology program of the E.C. (Esprit, 'Long
Term Research').

The position is available for 2 years, starting September 1997.
Candidates with a Ph.D. should have experience in numerical methods,
parallel computing and/or software development. Also candidates without a
Ph.D. can apply: the research may be continued via other projects and
can lead to a Ph.D.

More information about the research group can be found at .
Interested candidates should send their C.V. to :
Prof. D. Roose
Dept. Computer Science, K.U.Leuven
Celestijnenlaan 200A
B-3001 Heverlee-Leuven
Phone: + 32-16-32 75 46 Fax: + 32-16-32 79 96


From: Prikryl <>
Date: Mon, 14 Apr 1997 09:19:00 -0100
Subject: Contents, Applications of Mathematics

Application of Mathematics, Volume 42, No. 3

M. D. Esteban: A general class of entropy statistics

J. Haslinger, R. A. E. M\"{a}kinen: Shape optimization of materially
non-linear bodies in contact

O. Do\v{s}l\'{y}: A remark on polyconvex envelopes of radially
symmetric functions in dimension 22

O. Lindblom, R. N\"{a}slund, L.-E. Persson, K.-E. F\"{a}llstr\"{o}m:
A study of bending waves in infinite and anisotropic plates

S. Korotov: On equilibrium finite elements in three-dimensional case

Book reviews


From: Edward Sisson <>
Date: Mon, 14 Apr 97 09:54:16 EST
Subject: Contents, SIAM Scientific Computing

SIAM Journal on Scientific Computing
Volume 18, Number 3, MAY 1997

An Accurate and Robust Flux Splitting Scheme for Shock and Contact
Yasuhiro Wada and Meng-Sing Liou

A Stable Penalty Method for the Compressible Navier-Stokes Equations: II.
One-Dimensional Domain Decomposition Schemes
J. S. Hesthaven

Parallel Algorithms for Adaptive Mesh Refinement
Mark T. Jones and Paul E. Plassmann

Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface
Randall J. LeVeque and Zhilin Li

Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon
"Approximate Approximations"
Vladimir Karlin and Vladimir Maz'ya

Regularization of Higher-Index Differential-Algebraic Equations with
Rank-Deficient Constraints
Linda R. Petzold, Yuhe Ren, and Timothy Maly

Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation
Studies with Global Eigenfunction Expansions
Anil K. Bangia, Paul F. Batcho, Ioannis G. Kevrekidis, and George Em.

Parallel Algorithms for the Spectral Transform Method
Ian T. Foster and Patrick H. Worley

Parallel Preconditioning with Sparse Approximate Inverses
Marcus J. Grote and Thomas Huckle

Orderings for Parallel Conjugate Gradient Preconditioners
S. A. Stotland and J. M. Ortega

A Parallelizable Eigensolver for Real Diagonalizable Matrices with Real
Steven Huss-Lederman, Anna Tsao, and Thomas Turnbull

Computing Least Area Hypersurfaces Spanning Arbitrary Boundaries
Harold R. Parks and Jon T. Pitts

Computation of Invariant Tori by the Fourier Methods
Huang Mingyou, Tassilo Kupper, and Norbert Masbaum

On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method
Tony F. Chan, P. Ciarlet, Jr., and W. K. Szeto

Timely Communication

Multiscale Algorithm for Atmospheric Data Assimilation
Achi Brandt and Leonid Yu. Zaslavsky


From: Baltzer Science <>
Date: Thu, 17 Apr 1997 16:03:50 +0200
Subject: Contents, Numerical Algorithms

Numerical Algorithms 14 (1997) 1-3

Special Issue: Dynamical Numerical Analysis
Editors: Luca Dieci, Don Estep and Eric Van de Velde

Luca Dieci, Don Estep and Eric Van de Velde

Uri M. Ascher
Stabilization of invariants of discretized differential systems 1-24

W.-J. Beyn and J.-M. Kleinkauf
Numerical approximation of homoclinic chaos 25-53

Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer
Long periodic shadowing 55-78

Luca Dieci and Jens Lorenz
Lyapunov-type numbers and torus breakdown: numerical aspects and a case study

E. J. Doedel, M. J. Friedman and B. I. Kunin
Successive continuation for locating connecting orbits 103-124

Mark E. Johnson, Michael S. Jolly and Ioannis G. Kevrekidis
Two-dimensional invariant manifolds and
global bifurcations: some approximation and visualization studies 125-140

Peter E. Kloeden and Bjoern Schmalfuss
Nonautonomous systems, cocycle attractors and variable time-step
discretization 141-152

Martin W. Lo
Libration point trajectory design 153-164

Andrei A. Lyashenko
On the stability of the spectral Galerkin approximation 165-178

James C. Robinson
Convergent families of inertial manifolds for convergent approximations 179-188

Tony Shardlow
Inertial manifolds and linear multi-step methods 189-209

M. W. Smiley
Numerical bifurcation and stability analysis for steady-states of
reaction diffusion equations

A. M. Stuart
Probabilistic and deterministic convergence proofs for software for initial value problems

Alexander Tovbis
Homoclinic connections and numerical integration 261-267


End of NA Digest