NA Digest Sunday, April 23, 1995 Volume 95 : Issue 17

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: Eugene Fiume <>
Date: Mon, 17 Apr 1995 09:30:10 -0400
Subject: Intro. to Scientific, Symbolic, and Graphical Computation

Announcing a new book:

An Introduction to Scientific, Symbolic and Graphical Computation
Eugene Fiume
ISBN 1-56881-051-2

Published by:
AK Peters, Ltd.
289 Linden Street
Wellesley, MA 02181

617 235-2210 (phone)
617 235-2404 (fax)



Through the use of symbolic and graphical techniques, this book
explores parametric curves, interpolation and approximation, signal
theory (sampling, filtering, reconstruction, and the sampling theorem),
quadrature, and the solution of nonlinear equations. The emphasis is
on doing rather than proving, which makes it a good precursor to more
rigorous courses in scientific computation, signals and systems, and
computer-aided geometric design. A main theme of this book is that
there is a fundamental unity among these topics that symbolic and
graphical techniques can help to amplify.

More detail on the book, including table of contents, preface and index
is available via the WWW at the URL

An extensive repository of courseware is also available.

I have developed a first/second year undergraduate course based on this
material, and have taught it for several years. In my department, it
is viewed as an introduction to mathematical computation that
complements a traditional introduction to computer science. I would be
happy to chat with potential instructors about putting together a
course based on my book. I can be reached at, or

Eugene Fiume
Department of Computer Science
University of Toronto
10 King's College Circle
Toronto, Ontario, Canada
M5S 1A4

(+1) 416 978-5472 (office)
(+1) 416 978-5184 (fax)

Regards to all,


From: Bo Einarsson <>
Date: Tue, 18 Apr 95 08:47:25 +0200
Subject: Fortran 90 Tutorial


I have revised the Fortran 90 tutorial by Yurij Shokin and myself,
"Fortran 90 for the Fortran 77 Programmer", into an hypertext
document, complete with both internal and external links. It is
readable on WWW with Mosaic or Netscape. You can find the main page
for the tutorial using the following URL

Best wishes,

Bo Einarsson


From: George Miel <miel@cleanhead.CS.UNLV.EDU>
Date: Mon, 17 Apr 1995 12:58:30 -0700
Subject: Software for Hankel Transform Sought

Can someone recommend robust software, in double precision
if possible, for evaluating the Hankel Transform

     F(y) = integral(0 to 1) x*J_0(xy)*f(x) dx ?

A concern is that the given function in my application has
a right-hand singularity,

f(x) = g(x)/sqrt(1-x*x), smooth g(x),

and y can be very large.

George Miel
University of Nevada


From: Vincent Allan Barker <>
Date: Fri, 21 Apr 95 16:12:01 METDST
Subject: Educational Finite Element Software Sought

A teaching team at the Technical University of Denmark is looking for
public domain software for use in an introductory course on the finite
element method for solving 2-D partial differential equations. The course
runs fulltime for 3 weeks and is primarily devoted to the development of
FORTRAN codes for problem solution.
Specifically, we would like to find routines for pre- and post-processing;
i.e., automatic (graphic) mesh generation and graphical presentation
of the results. The computational environment includes a HP 9000 (Model 700)
running HP-UX (Unix) v. 9.05 . Fortran is the preferred programming language.
Any help in locating FEM software for this purpose would be much

Vincent A. Barker

Institute of Mathematical Modelling
Technical University of Denmark, Bldg. 305
DK-2800 Lyngby


From: Jozef Gembarovic <>
Date: Thu, 13 Apr 1995 11:16:51 +0200
Subject: Multiresponse Nonlinear Least Square Fitting


I am looking for a multiresponse nonlinear least square fitting program
(preferably in PASCAL or C++) that can be used to find the desired
parameters (such as thermal diffusivity, thermal conductivity or heat
capacity) in a known nonlinear model (solution of the heat conduction
equation - sums of Bessel functions and exponentials).
The data (temperature) to be fitted depend on time (equidistant) and the
position and they were taken from 4 thermocouples attached to
the sample.

I appreciate any assitance you may be able to offer.


Jozef Gembarovic


From: (Iain Duff)
Date: Tue, 18 Apr 95 13:28:46 BST
Subject: IMANA Newsletter

IMANA Newsletter Volume 19(3). April 1995.

The part of the April issue of the IMANA Newsletter that I have available
electronically can be accessed through anonymous ftp to RAL. The details
of how to access it are given below.

If readers wish to receive complete paper copies on a regular basis they
should write to:

Karen Jenkins
Catherine Richards House
Institute of Mathematics and its Applications
16 Nelson Street
Essex SS1 1EF

who will supply further information and subscription rates.

To get a copy


When prompted for a userid, reply with


and give your email address as a password.

Then directory to pub/imana (cd pub/imana)

Set mode to binary (bin)

Copy is in file april95.gz (get april95.gz)

Such machine readable information as I have for the conference section can be
found in file april95.conf.gz.

There are two compressed postscript files for some of the other articles, for the CERFACS INTERNATIONAL LINEAR ALGEBRA YEAR and
for ICIAM 95.

Both files should be gunzipped whence they should be found to be in plain ASCII


From: Ake Bjorck <>
Date: Wed, 19 Apr 95 10:51:09 +0200
Subject: WWW Server for BIT

I am pleased to announce the establishment of a WWW server for the journal
BIT--Numerical Mathematics at:

This home page, still in development, contains list of contents, LaTeX style
file, a sample BIT paper and other useful information.


{\AA}ke Bj\"orck, Managing Editor
Department of Mathematics
Link\"oping University
S-581 83 Link\"oping, Sweden
FAX: +46-13 100 746


From: Jack Dongarra <>
Date: Wed, 19 Apr 1995 11:48:37 -0400
Subject: Band Systems Survey

Dear Colleagues,

As part of the ScaLAPACK project we intend to include software
for the solution of banded linear systems. Since algorithm
performance is greatly impacted by the characteristics of the
system being solved, we solicit your input to help us design our
software for the kinds of systems found in practice.

ScaLAPACK is a freely available software package for scalably
solving problems in numerical linear algebra on distributed
memory parallel computers. If you have a need to solve large
banded linear systems, now is the time to provide us with your

We ask you to fill out the following short questionnaire. If
you have colleagues(engineers, physicists, or researchers in
other disciplines) who may not normally read NA-NET but who may
be working with banded matrices, we encourage you to pass this
questionnaire on to them.

We hope to receive your responses within the next few weeks. A
summary of responses will be posted to NA-NET.

Andy Cleary Jack Dongarra Xiaobai Sun
Univ. of Tenn. Univ. of Tenn./ORNL Duke Univ.

(For more information on ScaLAPACK, see: )

| Questionnaire on the use of Banded Linear Systems |

We are concerned with applications in which a requirement is the
solution of the linear system A*X = B in which A is an n x n
banded matrix. A matrix is banded if there are two parameters bl
and bu such that

i > j & (i-j) > bl -> A(i,j) = 0, and
j > i & (j-i) > bu -> A(i,j) = 0.

That is, elements in the lower triangle more than bl elements from
the main diagonal are identically zero and likewise for elements in
the upper triangle more than bu elements from the main diagonal.
Elements of the main diagonal may or may not be zero depending on
other characteristics of the problem.

The matrices X and B are n x k matrices. The j-th column of X,
X(:,j), is the solution of the system with respect to the right
hand side B(:,j).

If your work involves the solution of such systems, we would
like to ask you to fill out the following questionnaire and
e-mail to:

--------------------------Snip Here-----------------------------
Personal Details

1) Your Name:

2) Your Affiliation:

3) The nature of your project/research:

Problem characteristics

3) How many equations (n) do your banded linear systems typically have?

4) How many diagonals above/below the main diagonal (bl, bu) are non-zero?

5) How many right-hand sides (k) do you typically have at once?

6) Are your matrices symmetric/Hermitian? If so, are they
positive definite ?

7) Are your matrices diagonally dominant ? Any other
characteristics ?

7) Do you have any preference for iterative algorithms or direct algorithms ?
If direct methods are used, is partial pivoting required and
satisfactory for numerical stability?

Problem generation

8) How do banded linear systems arise in your application, in
particular, are the banded systems typically generated as stand-alone
problems, or as a step in a longer series of calculations?

10) Are you currently using parallel computers to solve these problems?

11) If you are using a parallel computer for these problems,
where are the matrices A, B and X located on entry into a
system solution routine ? Are they on disk(s), in a single
processor's (or host's) memory, or distributed amongst the processors?
If the latter, what distribution do you use?


From: Nancy Nichols <>
Date: Thu, 20 Apr 1995 19:39:32 +0100
Subject: Colloquium on Systems, Control and Computation


Friday May 12, 1995

Reading University, UK Department of Mathematics Room 113

12:00 noon John Hench (Academy of the Czech Republic, UTIA)
"Producing damping controllers via the Riccati equation"

3:00 pm Andre Tits (Universities of Maryland and Louvain-la-Neuve)
"Globally convergent algorithms for robust pole assignment by state feedback"

Lunch (cafeteria style) will be available in the Refectory Blue Room.
Tea will be served at 4:15 pm in Room 112. Visitors are welcome.

Abstracts, travel information and other details available from
Dr. N.K. Nichols Dept. of Mathematics, University of Reading
Box 220 Reading RG6 2AX Tel +44 - (0)1734 - 318988


From: David F Griffiths <>
Date: Fri, 21 Apr 95 13:01:47 BST
Subject: Dundee Conference 1995


University of Dundee, Scotland, UK
27-30th June 1995

Deadline for submission of abstracts: May 20, 1995
Deadline for registrations: June 3, 1995.

The conference will be preceded on Monday, 26th June by talks from
candidates shortlisted for the Leslie Fox Prize.

Information is available to www users through the URL

through which it is also possible to register online. Details are
given of speakers, fees, candidates for the Leslie Fox Prize as well
as travel to and from Dundee.

Dr D F Griffiths
Biennial Conference on Numerical Analysis
Department of Mathematics and Computer Science
The University, Dundee, DD1 4HN
Scotland, UK

Tel: +44 (1382) 344467 e-mail:
FAX: +44 (1382) 345516 or:

Please note change of area codes.


From: Panayot S. Vassilevski <panayot@iscbg>
Date: Fri, 21 Apr 95 16:17:36 +0300
Subject: IMACS Iterative Linear Algebra Symmposium in Bulgaria

Last Announcement and Call for Registration
June 17--20, 1995, Blagoevgrad, Bulgaria

The Symposium will provide a forum for presentation and discussion of the
iterative methods for solving large linear systems of equations and for
determining eigenvalues, eigenvectors or singular values of large matrices.
More than 80 sciences from more than 20 countries will take part in this
International meeting.


OWE AXELSSON, KUN, Nijmegen, The Netherlands
TONY F. CHAN, UCLA, Los Angeles, CA, USA
IAIN DUFF, Rutherford Appleton Lab, Oxon, UK
RICHARD EWING, Texas A&M University, College Station, TX, USA
YOUSEF SAAD, University of Minnesota, Minneapolis, MN, USA
JINCHAO XU, Penn State University, University Park, PA, USA
HARRY YSERENTANT, UT, Tuebingen, Germany

Owe Axelsson, Randolph Bank, Robert Beauwens, Francoise Chatelin, Ivan Dimov,
Stefka Dimova, Roland Freund, Krassimir Georgiev, Apostolos Hadjidimos, Sven
Hammarling, Oleg Iliev, Michail Kaschiev, David Kincaid, Raytcho Lazarov, Jean-
Francois Maitre, Bernard Philippe, Henk van der Vorst, Junping Wang

Krassimir Georgiev, Oleg Iliev, Tanya Kostova (secretary), Ivan Lirkov,
Svetozar Margenov (co-chairman), Panayot S. Vassilevski (co-chairman),
Lyudmil Zickatanov

1. "High-Performance Computing in Geoscience; Iteration methods for elasticity
and plasticity problems", by Owe Axelsson, KUN, Nijmegen, The Netherlands and
Panayot S. Vassilevski, CICT at BAS, Sofia, Bulgaria;
2. "The influence of high-nonnormality on the reliability of iterative methods
in Computational Linear Algebra"}, by Francoise Chatin-Chatelin, University of
Paris IX, Dauphine and Valerie Fraysse, CERFACS;
3. "Krylov-subspace methods for nonsymmetric and indefinite linear systems", by
Roland Freund, AT \& T Bell Lab., Murray Hill, USA;
4. "Industrial problems" by Yousef Saad, University of Minnesota, Minneapolis,
USA, and Oleg Iliev, Institute of Mathematics, BAS, Sofia, Bulgaria;
5. "Parallel Algorithms for Krylov Spaces" by Bernard Philippe, IRISA, Rennes,
6. "Preconditioning techniques and their parallel implementation" by Robert
Beauwens, ULB, Brussels, Belgium.

Local Organizing Committee:
Svetozar D. Margenov and Panayot S. Vassilevski
CICT at BAS, "Acad. G. Bontchev" street, Block 25A
1113 Sofia, Bulgaria
E-mail: imacs95@bgearn.bitnet
Tel: (359) 2-713-66 10 or (359) 2-713-66 12
FAX: (359) 2-70 72 73

Conference Office:
(after June 15)
Nadejda Afendova
American University in Bulgaria
2700 Blagoevgrad
Tel: (359) 73-25421, ext.212
FAX: (359) 73-29021


From: Ian Gladwell <>
Date: Fri, 21 Apr 95 13:21 CDT
Subject: Method of Lines Workshop


A Workshop on the Method of Lines for Time-Dependent Problems will be held
at the University of Kentucky in Lexington, Kentucky, from Wednesday May
31 1995 until Saturday June 3 1995. Total attendance at the conference
will be limited to sixty participants.

The invited speakers are: Martin Berzins (Leeds), Kevin Burrage
(Queensland), George Byrne (Illinois Institute of Technology), Joe
Flaherty (Rensselaer Polytechnic Institute), Mac Hyman (Los Alamos), Ken
Jackson (Toronto), Ohannes Karakashian (Tennessee), Linda Petzold
(Minnesota), Bob Russell (Simon Fraser), Bill Schiesser (Lehigh), Skip
Thompson (Radford), Jan Verwer (CWI, Amsterdam).

Participants will have the opportunity to propose a presentation on a
topic associated with the method of lines for time-dependent partial
differential equations or with aspects of the (parallel) solution of
ordinary differential equations which may have implications for the method
of lines for time-dependent problems. Presentations on applications of the
Method of Lines will be welcomed. Some discussion panels will also be

There will be a refereed conference proceedings published in a special
issue of Applied Numerical Mathematics. Presenters of invited and
contributed papers will be encouraged to submit papers for the

Further details may be obtained by e-mailing

The workshop is supported by the National Science Foundation, the
Institute for Mathematics and its Applications, the Center for
Computational Sciences of the University of Kentucky, Dedman College of
Southern Methodist University, and the Colorado School of Mines.

Graeme Fairweather and Ian Gladwell


From: S. Amini <>
Date: 18 Apr 95 15:59
Subject: PhD Studentship at University of Salford

EPSRC CASE Studentship

Dear Colleagues
Please bring the following information to the attention of any interested
Final Year Mathematics Undergraduate or MSc student in your Department.

The Engineering and Physical Sciences Research Council (EPSRC) has awarded a
CASE studentship with the Defence Research Agency (DRA) as the cooperating body
on the project:

Wavelet Based Algorithms for Boundary Integral Equations.

The studentship, tenable from October 1995, is for a 3 year programme of
research leading to a PhD. The applicant must possess or be about to obtain a
good honours degree in Mathematics or related subject.

For further details please contact:

Dr S Amini
Department of Mathematics and Computer Science
University of Salford
Salford M5 4WT
Greater Manchester
Tel: ++44 161 745 5353 (Direct)
Fax: ++44 161 745 5559


From: J. Milgram <>
Date: Tue, 18 Apr 95 19:50:28 PDT
Subject: Postdoctoral Position at MIT


The project for this position involves:

1. Adding lifting elements to a potential based BIEM panel code,

2. Determining forces and moments on underwater vehicles under
the influence of solid bottom boundaries and a free surface
upper boundary with sea waves on it,

3. Developing both theoretical and semi-empirical methods to
determine the net forces and moments provided by jet and
tunnel thrusters to an underwater vehicle with forward speed
and in the proximity of rigid and free surfaces.

4. Generating mathematical models of surface-induced forces and
moments on underwater vehicles and adding them to existing
computer programs for the maneuvering of underwater vehicles.

Applicants should be first and foremost fundamentally strong in
the cognizant hydrodynamic and mathematical fields, be fully
competent in the associated programming, and be familiar with
programming and use of personal computers, UNIX workstations and
supercomputers. Most of the programming is done in Fortran 77,
but some parallel machine programming may be in Fortran 90 and
some graphical I/O may be in C.

The project personnel will include a faculty member, 2 or 3
graduate students and the post-doc to be added.

Interested applicants should send a resume and names, street and
email addresses and phone numbers; by mail, by Fax or by an
e-mail text file (no postscript files or other forms requiring
translation please) to:

Ms. Cindy Dernay
Room 5-318
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139
FAX (617) 253-8689


From: G. R. Foulger <>
Date: Fri, 21 Apr 95 20:02:29 BST
Subject: Postdoctoral Position at University of Durham


I am a geophysicist at Dept. Geological Science, Univ. Durham, U.K. and
have been working for several years making repeated survey measurements
in Iceland using a GPS satellite technique. The mid-Atlantic spreading
plate boundary passes through the middle of Iceland, and thus there is,
on average, several cm of "plate" movement in Iceland, along with large
earthquakes and volcanic eruptions. We now have an extensive set of
measurements of these movements.

Somewhat surprisingly, we have found that the motion is not regular and
"plate-like" but highly variable. What happens is that every few
hundred years there is a big event, e.g. a very large earthquake, which
causes deformations of several metres locally in the Earth's crust. The
shallow part of the Earth is well-modelled by an elastic layer about 10
km thick overlying viscoelastic material that may obey a law such as
power-law creep or Newtonian viscoelasticity. In such a structure,
large, local movements do not immediately affect distant areas, but
gradually propagate away from the source over time.

We have recently completed modelling of our results using an analytical
method that calculates motion in an elastic plate overlying a Newtonian
viscoelastic half-space. We have got some tremendously interesting
results that we expect will generate several eye-opening publications
on tectonic motions.

Our results show that the next step is to do modelling, and/or develop
new modelling tools, that can take account of three-dimensional
structural heterogeneity and more complex rheologies. A finite element
approach is one, but not the only candidate. The objective would be
to develop a powerful tool for modelling the deformation of the Earth's
crust and outer layers on a regional scale, and to explain and predict
the structure and behaviour (including the recurrence of great
earthquakes and volcanic eruptions).

I am very interested in working with a numerical person on this
project. I myself am a geophysicist, not a mathematician, so I am
looking for a colleague who might provide the latter expertise. The
Royal Society Dorothy Hodgkin scholarships have come to my
notice, and my department and project certainly would fit the
requirement of "departments/disciplines where (women) are currently
under-represented at the post-doctoral level". Is there anyone out
there who is interested? A nice possibility would be for a person to be
jointly attached to my department and the maths or physics department
here - then it would be interdisciplinary too.

Durham is a wonderful old historic town with a collegiate university.
You'd love it here.

Gillian R. Foulger


From: Baltzer Science Publishers <>
Date: Tue, 18 Apr 1995 14:45:41 +0200
Subject: Contents, Advances in Computational Mathematics

Advances in Computational Mathematics, Volume 3, No. III, 1995, ISSN 1019
7168 Editors-in-Chief: John C. Mason & Charles A. Micchelli

Advances in Computational Mathematics is an interdisciplinary journal of
high quality, driven by the computational revolution and emphasising
innovation, application and practicality.
This journal is of interest to a wide audience of mathematicians,
scientists and engineers concerned with the development of mathematical
principles and practical issues in computational mathematics.

Volume 3, No. III, 1995

pp. 171-196: C.T.H. Baker, C.A.H. Paul and D.R. Wille, Issues in the
numerical solution of evolutionary delay differential equations

pp. 197-218: S. Noelle, Convergence of higher order finite volume schemes
on irregular grids

pp. 219-238: T. Sauer, Computational aspects of multivariate polynomial

pp. 239-250: M. Gasca and J.M. Pena, On the characterization of almost
strictly totally positive matrices

pp. 251-264: R. Schaback, Error estimates and condition numbers for radial
basis function interpolation

pp. 265-290: J.W. Jones and B.D. Welfert, Zero-free regions for a rational
function with applications

pp. 291-308: K. Strom, B-splines with homogenized knots

Submissions of articles and proposals for special issues are to be
addressed to the Editors-in-Chief:

John C. Mason
School of Computing and Mathematics, University of Huddersfield,
Queensgate, Hudersfield, HD1 3DH, United Kingdom


Charles A. Micchelli
Mathematical Sciences Department
IBM Research Center
P.O. Box 218, Yorktown Heights, NY 10598, USA E-mail: cam@yktvmz.bitnet

Requests for FREE SPECIMEN copies and orders for Advances in Computational
Mathematics are to be sent to: E-mail:


From: Ake Bjorck <>
Date: Wed, 19 Apr 95 10:50:50 +0200
Subject: Contents, BIT Numerical Mathematics

CONTENTS BIT Numerical Mathematics ISSN 0006-3835
Volume 35, No. 2 (1995)

Convergence of multistep discretizations of DAEs
C. Ar\'evalo and G. S\"oderlind, pp. 143--168

Look-ahaed in Bi-CGSTAB and other product-type methods for linear
C. Brezinski and M. Redivo Zaglia, pp. 169--201

On fifth order Runge-Kutta methods
J. C. Butcher, pp. 202--209

A framework for advancing front techniques of finite element mesh
S. Farestam and R. B. Simpson, pp. 210--232

On the Cholesky factorization of the Gram matrix of locally supported
T. N. T. Goodman, C. A. Micchelli, G. Rodriguez and S. Seatzu, pp. 233--257

Composition methods in the presence of small parameters
R. McLachlan, pp. 258--268

Lack of dissipativity is not symplecticness
A. Portillo and J. M. Sanz-Serna, pp 269--276

On the uniform convergence of Cauchy principal values of
quasi-interpolating splines
P. Rabinowitz and E. Santi, pp. 277--290


A note on the convergence of discretized dynamic iteration
M. Bj\o rhus, pp. 291--296

Contributions in LaTeX are preferred. Information and style files are avilable
from the Editor or from the WWW server for BIT at:

{\AA}ke Bj\"orck
Department of Mathematics
Link\"oping University
S-581 83 Link\"oping, Sweden
FAX: +46-13 100 746


From: SIAM <>
Date: Fri, 21 Apr 95 10:43:02 EST
Subject: Contents, SIAM Scientific Computing

SIAM Journal on Scientific Computing
JULY 1995, Volume 16, Number 4

A Front Tracking Method for Compressible Flames in One Dimension
James Hilditch and Phillip Colella

Multidomain Collocation Methods for the Stream Function Formulation
of the Navier-Stokes Equations
Timothy N. Phillips and Alaeddin Malek

A Fixed Domain Method for Injection Governed by the Stokes Equations
L. L. Stell and S. F. Shen

Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids
John A. Trangenstein

An Adaptive Algebraic Multigrid for Reactor Criticality Calculations
Leonid Yu. Zaslavsky

A Space-Time Multigrid Method for Parabolic Partial Differential Equations
G. Horton and S. Vandewalle

Multipole Translation Theory for the Three-Dimensional Laplace and
Helmholtz Equations
Michael A. Epton and Benjamin Dembart

A Family of Numerical Schemes for the Computation of Elastic Waves
Alain Sei

An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
V. Simoncini and E. Gallopoulos

Efficient Sparse Cholesky Factorization on a Massively Parallel
SIMD Computer
Fredrik Manne and Hjalmtyr Hafsteinsson

A Note on Preconditioned Block Toeplitz Matrices
Xiao-Qing Jin

The Instability of Parallel Prefix Matrix Multiplication
Roy Mathias

Rational Multiple Criterion Approximation and Rational Complex
Approximation by Differential Correction-Type Algorithms
G. Cortelazzo, G. A. Mian, and M. Morandini

Locally Corrected Multidimensional Quadrature Rules for Singular Functions
John Strain


From: SIAM <>
Date: Fri, 21 Apr 95 10:45:09 EST
Subject: Contents, SIAM Numerical Analysis

SIAM Journal on Numerical Analysis
JUNE 1995, Volume 32, Number 3

Convergence of the Finite Volume Method for Multidimensional
Conservation Laws
B. Cockburn, F. Coquel, and P. G. Lefloch

Adaptive Finite Element Methods for Parabolic Problems II: Optimal
Error Estimates in L L2 and L L
Kenneth Eriksson and Claes Johnson

A Numerical Study of a Rotationally Degenerate Hyperbolic System.
Part II. The Cauchy Problem
Heinrich Freistuhler and E. Bruce Pitman

Convergence of the Variable-Elliptic-Vortex Method for Euler Equations
Zhen-Huan Teng, Lung-An Ying, and Pingwen Zhang

Numerical Viscosity and Convergence of Finite Volume Methods for
Conservation Laws with Boundary Conditions
S. Benharbit, A. Chalabi, and J. P. Vila

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
Uri M. Ascher, Steven J. Ruuth, and Brian T. R. Wetton

A Comparison of Convergence Rates for Godunov's Method and Glimm's
Method in Resonant Nonlinear Systems of Conservation Laws
L. Lin, J. B. Temple, and J. Wang

Suppression of Oscillations in Godunov's Method for a Resonant Non-
Strictly Hyperbolic System
Lin Longwei, Blake Temple, and Wang Jinghua

Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
Eun-Jae Park

Convergence of a Crystalline Algorithm for the Motion of a Simple
Closed Convex Curve by Weighted Curvature
Pedro Martins Girao

On Algorithms for Nonconvex Optimization in the Calculus of Variations
Ling Ma and Noel J. Walkington

Nystrom's Method and Iterative Solvers for the Solution of the
Double-Layer Potential Equation Over Polyhedral Boundaries
A. Rathsfeld

Numerical Calculation of Center Manifolds for a Class of Infinite-
Dimensional Systems with Applications
Ma Fuming

Two-Dimensional Quadrature for Functions with a Point Singularity
on a Triangular Region
Yajun Yang and Kendall E. Atkinson


End of NA Digest