NA Digest Sunday, May 4, 1997 Volume 97 : Issue 18

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

Submissions for NA Digest:

Mail to

Information about NA-NET:

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

From: NA Digest <>
Date: Sun May 4 20:56:57 EDT 1997
Subject: NA Digest Calendar

The Netlib Conferences Database is on the Web at:

NA Digest Calendar
Date Topic Place NA Digest #

May 12-14 Materials Science Philadelphia, PA 32
May 12-16 Fluid Dynamic Applications Cheshire, England 03
May 14-17 Interface of CS and Stats Houston, TX 17
May 16-17 Differential Equations and Simulations Mississippi State, MS 46
May 19-21 Applications of Dynamical Systems Snowbird, UT 27
May 21-24 Macromolecular Modelling Berlin, Germany 31
May 22-23 Mathematical Programming Washington, DC 45
May 26 Discrete Mathematics Day Ottawa, Canada 09
May 26-28 Differential-Algebraic Equations Grenoble, France 11
May 26-30 Computational Heat Transfer Cesme, Turkey 05
May 27-28 Computational Science and Engineering Hefei, China 38
May 27-30 Radial Basis Functions Asilomar, CA 45
May 27-29 Preconditioned Iterative ethods Nijmegen, Netherlands 04
May 30-.. Canadian Applied Mathematics Society Toronto, Canada 10

June 1- 5 Computer Science Education Uppsala, Sweden 38
June 3- 7 ISAAC Congress Newark, DE 47
June 4- 6 Software for Nonlinear Optimization Ischia, Italy 06
June 6- 8 Control, Signals and Image Processing Winnipeg, Canada 46
June 7-11 Large Scale Scientific Computations Varna, Bulgaria 05
June 9 Session on Linear Algebra Winnipeg, Canada 46
June 11-13 IRREGULAR'97 Paderborn, Germany 45
June 16-18 Computer Methods in Water Resources Byblos, Lebanon 35
June 16-18 Mathematical Issues in Geosciences Albuquerque, NM 96:18
June 16-21 Iterative Methods Milovy, Czech Rep. 37
June 18-20 Scientific Computing in EE Darmstadt, Germany 18
June 18-21 Principles + Practice of Parallel Prog. Las Vegas, NV 27
June 22-28 Dirichlet Forms Heraklion, Crete 02
June 23-28 Course on Nonlinear Hyperbolic Equations Cetraro, Italy 11
June 24-27 Dundee NA Conference Dundee, Scotland 18
June 24-30 Conference Honoring D. K. Faddeev St. Petersburg, Russia 46
June 26-28 Numerical Analysis and Approximation Pretoria, South Africa 44
June 29-.. Nonlinear Dispersive Waves Heraklion, Crete 02
June 30... Lie Groups and Symmetry Analysis Nordfjordeid, Norway 16

July 3- 4 CFD in Minerals, Metal & Power Melbourne, Australia 33
July 3- 8 Curves and Surfaces Lillehammer, Norway 05
July 4- 5 Honor Lothar Collatz Hamburg, Germany 32
July 9-11 Computational Fluid Dynamics Twente, Netherlands 38
July 9-12 Iterative Methods Laramie, WY 36
July 11-12 Randomization and Approximation Bologna, Italy 03
July 13-17 Gordon Conference on HPC and NII Plymouth NH 11
July 13-18 SIAM Annual Meeting Stanford, CA 36
July 13-15 AWM Workshop at SIAM Meeting Stanford, CA 01
July 14-18 Theoretical and Computational Acoustics New York, NY 96:14
July 21-23 Symbolic and Algebraic Manipulation Maui, Hawaii 44
July 24-26 Applications of Computer Algebra Maui, Hawaii 14
July 24-25 Matrix Methods in Stochastic Models Winnipeg, Canada 47
July 30... ATLAST Linear Algebra Workshop Madison, WI 08

Aug. 4- 8 Large Eddy Simulation Ruston, LA 40
Aug. 10-13 Finite Difference Methods Rousse, Bulgaria 46
Aug. 10-14 Domain Decomposition Boulder, CO 40
Aug. 11-15 Computational Mathematics Guangzhou, China 48
Aug. 17-24 Continuum Mechanics Models Zhukovskii, Russia 03
Aug. 20-22 From Local to Global Optimization Linkoping, Sweden 05
Aug. 20-22 Automated Timetabling Toronto, Canada 07
Aug. 24-29 IMACS World Congress Berlin, Germany 96:07
Aug. 24-29 Fast Algorithms Berlin, Germany 37
Aug. 26-29 Euro-Par'97 Passau, Germany 43
Aug. 28-31 Stochastic Modelling of Biointeraction Sofia, Bulgaria 47

Sep. 1- 5 Numerical Solution of ODEs Halle, Germany 96:13
Sep. 2- 5 ALGORITMY'97, Scientific Computing Tatra, Slovakia 03
Sep. 8-11 Continuum Mechanics Prague, Czech Republic 08
Sep. 8-12 Applied and Computational Mathematics Serrano, Brasil 45
Sep. 8-12 Parallel Computing Technologies Yaroslavl, Russia 06
Sep. 9-12 Boundary Element Method Rome, Italy 41
Sep. 10-12 Computer Arithmetic Lyon, France 41
Sep. 11-13 Algorithm Engineering Venice, Italy 42
Sep. 15-18 Boundary Integral Methods Manchester, England 27
Sep. 15-18 Parallel Computing in Fluid Mechanics Pisa. Italy 15
Sep. 15-19 Scientific Computing & Diff. Eqns. Grado, Italy 26
Sep. 16-19 Visualization and Mathematics Berlin-Dahlem, Germany 09
Sep. 24-26 Dutch Numerical Mathematicians Zeist, Netherlands 18
Sep. 29... ENUMATH 97 Conference Heidelberg, Germany 47

Oct. 13-17 Computational Methods & Function Theory Nicosia, Cyprus 16
Oct. 15-17 Large-scale Analysis Symposium Williamsburg VA. 12
Oct. 17-18 London Math Society on PDEs London, England 47
Oct. 24-25 Kalamazoo Matrix Symposium Kalamazoo, MI 13
Oct. 29.... SIAM Applied Linear Algebra Snowbird, Utah 13

Nov. 3- 5 Fourth European PVM/MPI Users' Group Cracow, Poland 13
Nov. 3- 6 Geometric Design Nashville, TN 15
Nov. 5- 8 Hewlett-Packard Computing Cracow, Poland 08


Jan. 3- 6 Approximation Theory Nashville, TN 10
Jan. 23-24 Honor Olof Widlund New York, NY 08
Jan. 25-27 Discrete Algorithms San Francisco, CA 18
Feb. 9-13 Hyperbolic Problems Zuerich, Switz. 41
Mar. 24-27 Neurocomputing Munich, Germany 15
June 14-18 Applied Parallel Computing Umea, Sweden 07
Aug. 18-27 VideoMath Festival Berlin, Germany 12
Aug. 18-27 International Congresses of Math. Berlin, Germany --
Aug. 31... IFIP World Computer Congress Vienna and Budapest 46


From: Sithi Vinayakam Muniandy <>
Date: Fri, 2 May 1997 08:59:44 +0100 (BST)
Subject: Complex ODE Solver

Dear All,
I am trying to solve a system of N complex nonlinear ordinary
differential equations arising from complex wavelet-Galerkin projection of
Burgers equation. Is there any direct numerical code in Fortran77 to
perform this task in complex variables algorithm without resorting to the
splitting of variables and matrices into real and imaginary parts to form
2N real odes ? Many thanks.




From: Dirk Laurie <>
Date: Fri, 2 May 1997 13:39:55 +0200 (SAT)
Subject: Complex Analogues of Householder Reflections

It is customary in numerical linear algebra texts to do things
with real matrices until eigenvalues are reached, at which point
it is reluctantly admitted that complex numbers are unavoidable.

The Hermitian transpose is introduced, you tell the students that
this is the true and correct definition of which the ordinary
transpose is merely the real special case; a few theorems that
really need unitary rather than orthogonal matrices (Schur's lemma,
unitarily diagonalizable <==> normal) are proved; and the brief
flirtation with complex matrices is over.

Students are left with the impression that you can everywhere simply
replace 'transpose' by 'Hermitian transpose' and all theorems will
remain true --- an impression which is reinforced by having Matlab
available, which works with complex matrices and Hermitian transposes
as a natural way of life.

This works well most of the time, but it does not work with Householder
matrices the way they are usually introduced. All the books I have
consulted use some inessential variation on the definition

(1) H = I - 2*u*u' where norm(u)=1.

(I'm using Matlab notation on purpose --- of course most of the books
say u^T, not u^H, and work only with real u.)

Some of the pleasant applications of Householder matrices are no longer
true in the complex case, e.g.
1. For any two distinct vectors x and y of equal length, there
exists a unique Householder matrix H such that H*x = y.
2. For any unit vector x except x=[1;0;0;...;0], there exists a
unique Householder matrix with x as its first column.
(1) is true only when x'*y is real, (2) only when x(1) is real.

These facts are presumably well known to those who actually write
codes for complex matrices (the computer is a much more unforgiving
rejector of sloppy thinking than the typical undergraduate) but I
found them out the hard way, having practically on the spur of the
moment having written Hermitian transposes instead of ordinary ones,
and discovering on my feet in front of a class that the old proofs
no longer work, for the simple reason that the old theorems are no
longer true.

Perhaps the proper way to define elementary unitary matrices is:

(2) H = (I-P) + w*P where P is a 1-dimensional orthogonal projector
and abs(w)=1.

Now in the real case H may equal I, which allows one to remove 'distinct'
and 'except x=[1;0;0;...;0]' from the two lemmas above, and in the
complex case the two lemmas are now true without further qualification.

All that is lost is the term "Householder reflection": (2) is a
reflection only when w=-1.

If anyone knows a textbook that does treat elementary unitary matrices
in this way, I would be delighted to hear of it -- I may consider
switching texts!

Dirk Laurie


From: Dietrich Braess <>
Date: Wed, 30 Apr 1997 09:09:42 +0200
Subject: New Book on Finite Elements


FINITE ELEMENTS: Theory, fast solvers, and applications
in solid mechanics

Dietrich Braess
translated from the 2nd German Edition by
Larry Schumaker

hardcover ISBN 0-521-58834-0 Cambridge University Press
softcover ISBN 0-521-58187-7 Cambridge University Press
German 2nd ed ISBN 3-540-61905-4 Springer-Verlag

The book is directed to graduate students in mathematics and to young
researchers. We take into account that most of the research is now
concentrated on finite elements for hard problems and on the fast
solution of the resulting equations. Therefore the nonconforming
elements and saddle point problems get as much space as the conforming
elements. Moreover we treat the method of conjugate gradients and
multigrid methods. Finally we present an introduction to the
application of finite elements in solid mechanics which up to now
does not exist in textbooks in a similar way.

Many facts in finite element theory are counterintuitive for students
who have studied ordinary differential equations before.
We try to avoid that the reader overlooks the counterintuitive
or unexpected arguments.
People who have used the German edition for their lectures like
especially an example with a tent in connection with the trace theorem
for Sobolev spaces. But we find counterintuitive things at all levels.
Just recently it has turned out that saddle point problems with penalty
terms have a different behavior than one from folklore.

The book has 6 chapters:
I. Introduction
II. Conforming Finite Elements
III. Nonconforming and Other Methods
IV. The Conjugate Gradient Method
V. Multigrid Methods
VI. Finite Elements in Solid Mechanics

We intend to establish later a www page with additional remarks
and a list of misprints.


From: Michael Guenther <>
Date: Mon, 28 Apr 1997 16:34:27 MESZ
Subject: Workshop on Scientific Computing in Electrical Engineering

Workshop "Scientific Computing in Electrical Engineering:
electrical circuits --- electromagnetic fields"

Technische Hochschule Darmstadt, June 18-20, 1997

Fachgruppe "Scientific Computing" of the "Deutschen Mathematiker
Vereinigung" (DMV)
Dr. M. Guenther (TH Darmstadt)
Prof. Dr. U. Langer (Johannes-Kepler University Linz)
Dr. U. van Rienen (TH Darmstadt)

This workshop intends to bring together scientists from universities and
industry who work on the field of modelling and numerical simulation of
electric circuits or electromagnetic fields. The aim is to start an intense
exchange of thoughts. Since the new discipline Scientific Computing has an
interdisciplinary character it affords the exchange of ideas between
numerical mathematicians, engineers and computer scientists.

Finite Integration Methods
(Dr. van Rienen, Darmstadt, and Dr. Steinhaeuser, Rockwell Automation)

Numerical Simulation of Electric Circuits
(Dr. Guenther, Darmstadt and Dr. Gilg, Siemens AG)

Adaptive Finite Element Methods
(Dr. van Rienen, Darmstadt and Dr. Hebermehl, WIAS)

Numerical Simulation of Electromagnetic Fields
(Prof. Dr. Langer, Linz and Prof. Dr. Wachutka, Muenchen)

Poster sessions and Computer Demonstrations

Information: DMV-Workshop WR-ET, Technische Hochschule Darmstadt,
Fachbereich Mathematik, AG 13, Frau Semler, Schlossgartenstr. 7,
D-64289 Darmstadt, Tel.: +49(0)6151 16-6846, Fax: +49(0)6151 16-4424,

The 2nd announcement is now available at


From: Jan Kok <>
Date: Tue, 29 Apr 1997 11:16:29 +0200
Subject: Dutch Community of Numerical Mathematicians


The annual conference of the Dutch Community of Numerical Mathematicians
(WNW) has been scheduled for 24, 25, and 26 September 1997, to be held
at the Woudschoten Conference Centre, Zeist, The Netherlands.

Topics of this year's conference are:
1) nonlinear boundary-value problems (with special attention to
continuation methods and bifurcation),
2) generalized eigenvalue problems and singular-value decomposition,
3) numerical treatment of financial models.

Invited speakers are:
Theme 1: Eusebius Doedel (Concordia University, Montreal),
Herbert B. Keller (CalTech, Pasadena),
Hans Mittelmann (Arizona State University, Tempe)
Theme 2: Alan Edelman (M.I.T.),
Danny Sorensen (Rice University, Houston)
Theme 3: Michel Hoevenaars (ING-bank, Amsterdam)

Contributed, 30-minute presentations:
The programme allows incorporation of about four contributed presentations by
participants, relevant to either of the conference topics.

For all information see the conference WWW page, URL:
or contact the secretary of the organizing committee,
Jan Kok
CWI - Centrum voor Wiskunde en Informatica
P.O. Box 94079
NL-1090 GB Amsterdam
Telephone: +31 20 592 4107 (fax: ..-4199) E-mail:


From: David Griffiths <>
Date: Fri, 2 May 1997 14:25:35 +0100
Subject: Dundee NA Conference

Tuesday 24 June -- Friday 27 June, 1997


The special invited lecture in honour of A. R. Mitchell will be
presented by
Professor Gil Strang

The other Principal Speakers will be

D N Arnold C J Budd J E Flaherty R Fletcher
A Greenbaum E Hairer N J Higham D Kroner
J Nocedal M J D Powell J M Sanz-Serna L N Trefethen A J Wathen

The speaker after the conference dinner will be George Phillips,
University of St Andrews.

The conference will be preceded by a one day meeting on Monday 23 June
at which talks will be given by those shortlisted for the Leslie Fox

Deadline for receipt of abstracts: 23 May, 1997
Deadline for registration : 1 June, 1997

Details of registration/accommodation fees are now available either by
accessing the conference web page/ftp site:

ftp address:
ftp directory: pub/na-conf

or by contacting (email preferred)

Dr David F. Griffiths
Numerical Analysis Conference
Department of Mathematics and Computer Science
Dundee University
Dundee DD1 4HN
Scotland, UK

Telephone: +44(1382)344467/344471
FAX : +44(1382)345516


From: Trini Flores <>
Date: Fri, 02 May 97 13:32:46 EST
Subject: ACM-SIAM Symposium on Discrete Algorithms

Ninth Annual ACM-SIAM Symposium on Discrete Algorithms
Sponsored by ACM-SIGACT and SIAM Activity Group on Discrete
JANUARY 25-27, 1998
Holiday Inn Golden Gateway Hotel
San Francisco, California

Call For Papers

Deadline for Submission: JULY 8, 1997

For additional information regarding the symposium, and to obtain
instructions on how to submit extended abstracts, visit the World Wide
Web at:

or contact SIAM, 3600 University City Science Center, Philadelphia, PA
19104, Phone 215-382-9800, Fax 215-386-7999, E-mail:


From: Peter Knabner <>
Date: Mon, 28 Apr 1997 17:56:30 -0600
Subject: Postdoctral Position at Friedrich Alexander University


The Chair for Applied Mathematics I of the Friedrich-Alexander-University
Erlangen-Nuremberg, Germany offers a three-year research position which
is connected with a research project in applied mathematics.

The project is funded by the German Federal Research
and Education Department. It deals with model, algorithm and software
development for the prediction of unsaturated subsurface contaminant
transport and remediation strategies. The transport processes are modelled
by nonlinear partial differential equations. (Further details may
be found at: <>.)

The research project is embedded in a Ph D programme on
applied mathematics / scientific computing.

The ideal candidate has a degree in mathematics or a similar
subject. He should be familiar with applied mathematics / scientific computing
and/or partial differential equations.
Knowledge of the German language is not expected and only necessary as far
as everyday life is concerned.

Salary is according to the German BAT IIa/2 tariff. It includes payments
for social security, health care and benefits and depends on age and
family status. (A 25 year old unmarried person receives about
DEM 33,000 / US$ 20,000 gross payment per annum.)

Candidates should contact me as soon as possible, and provide their CV
and a description of their scientific background and interests.

Prof. Dr. Peter Knabner
Institute for Applied Mathematics Tel. +9131 857015 or 857016
Martensstrasse 3 Fax +9131 857670
D 91058 Erlangen E-mail


From: Siegfried Mueller <mueller@igpm.RWTH-Aachen.DE>
Date: Tue, 29 Apr 1997 16:54:34 +0100
Subject: Position at RWTH Aachen

Am Institut fuer Geometrie und Praktische Mathematik der RWTH Aachen ist im
Rahmen des Sonderforschungsbereiches 401, "Stroemungsbeeinflussung und
Stroemungs--Struktur--Wechselwirkung an Tragfluegeln", eine Stelle als

wissenschaftliche(r) Mitarbeiter(in)

ab sofort zu vergeben (Verguetung: BAT IIa/2, Dauer: 3 Jahre).

Thema: Multiskalen--Methoden fuer Stroemungsprobleme

Die numerische Simulation der Stroemung um Tragfluegel im Reiseflug verlangt
die Loesung der Navier--Stokes--Gleichung fuer kompressible Stroemungen.
Bereits vorhandene Loesungsmethoden, wie Finite--Volumen--, Finite--Elemente--
oder Finite--Differenzenverfahren, sollen beschleunigt werden. Darum soll eine
neue Loesungsmethode, aufbauend auf dem von Harten vorgeschlagenen
Multiskalen--Konzept entwickelt und implementiert werden. Die theoretische
Grundlage dieser Ansaetze bilden stabile Multiskalenbasen und Wavelets.

Weitere Informationen finden Sie unter

Die Bewerber sollten fundierte Kenntnisse in der Numerik partieller
Differentialgleichungen haben. Grundwissen in Mehrgitter-- und
Multiskalentechniken sind von Vorteil. Da das Projekt in Zusammenarbeit mit
Ingenieuren durchgefuehrt wird, sind Kenntnisse der Stroemungslehre
hilfreich, aber nicht notwendig.

Bewerbungen bitten wir an Prof. Dr. W. Dahmen, Institut fuer Geometrie und
Praktische Mathematik, RWTH Aachen, Templergraben 55, 52056 Aachen, zu richten.


From: David Chopp <>
Date: Tue, 29 Apr 1997 16:06:39 CDT
Subject: Postdoctoral Position at Northwestern University

Northwestern University
Engineering Sciences and Applied Mathematics Dept.

Applications are invited for a postdoctoral position at Northwestern
University in Evanston, IL. The work will involve numerical modeling
of thin film deposition using level set techniques. Work will include
advancing level set methods to incorporate stochastic and sub-grid scale
velocity fields, and multiple interface grain boundary flows.
Candidates should have strong backgrounds in numerical analysis and
computer programming, with experience using C or C++. Candidates with
knowledge of thin-film deposition techniques will be given highest
consideration, but it is not required. The work will involve interactions
with materials scientists working on various aspects of computer modeling
and experimentalists testing the predictions of the models in laboratory
apparatus and in actual fabrication lines for silicon devices. Effective
communication skills and a broad range of interests are essential.

The position is jointly funded by the NSF Divisions of Mathematical
Sciences and Materials Research, and by the DARPA Defense Sciences
Office. A recent Ph.D. is required. The starting date is negotiable,
but no later than Sept. 1 1997, and is funded for two years. The position
will be closed as soon as a suitable candidate is found. Curriculum vita
and a list of references should be sent first by e-mail. Additional
materials should be sent only upon request.

Please direct all correspondence to:

David Chopp
Dept. of Engineering Sciences and Applied Mathematics
Northwestern University
Technological Institute
2145 Sheridan Rd.
Evanston, IL 60208-3125
Phone: (847)-491-5396. Email:

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


From: Jaroslav Kautsky <>
Date: Mon, 28 Apr 1997 16:24:38 +0930
Subject: Scholarship at Flinders University of South Australia

Flinders University of South Australia


Applications are sought for a three year PhD APA Scholarship.
Applicants must possess an honours degree (I or IIA) or equivalent in
mathematics or in a related discipline with strong mathematical content.
The successful applicant will work with Dr J. Kautsky and Prof W. Moran on
an ARC funded research project in the theory of wavelets and their
applications to signal processing.

Annual stipend: AU$20,000 (tax free).

The Scholarship is available immediately.

Flinders University is located in the southern suburbs of Adelaide
which offers pleasant living in moderate climate.
Further information is available on the World Wide Web at:

Flinders University:
Departments of Mathematics and Statistics:
Wavelet Group:

For details of how to apply please send an indication of interest
and a short resume to:

Dr. Jaroslav Kautsky,
email :,
FAX : (international)-61-8-8201 2904


From: Chaoqun Liu <>
Date: Wed, 30 Apr 1997 08:56:29 -0500 (PDT)
Subject: Fellowships at Lousiana Tech

Student Fellowship Announcement

I am pleased to announce that 2 PhD Student Fellowships are open for
application now at the Applied Computational Analysis and Modeling
(ACAM) PhD program, College of Engineering and Science, Louisiana Tech

The requirements for the fellowship include the following:
1. Must be an American citizen or a resident alien holding permanent
visa status,
2. Must have a GRE score (V+Q) of at least 1200,
3. Must have a minimum GPA of 3.5 on all graduate work. Furthermore,
the recipient will be required to maintain a GPA of at least 3.5.
4. Must submit 3 letters of recommendation from persons familiar with the
student's academic ability and potential for success in the graduate
5. Must submit a statement of their research interests after reviewing
the research interests of the faculty.
6. All requirements of the Graduate School of Louisiana Tech University
must be met.

Applicants should contact the graduate school to get application forms
for admission and should send their fellowship application letter
with a short vita to:

Dr. Chaoqun Liu, Associate Professor
Department of Mathematics and Statistics
Louisiana Tech University
P.O. Box 3189
Ruston, LA 71272-0001
Tel : (318) 257-2257
Fax : (318)257-2437
email :

Because the applications are currently being reviewed, students
wishing to be considered should contact Dr. Liu by e-mail at the above
address within the next 5 days.


From: Ake Bjorck <>
Date: Tue, 29 Apr 1997 16:50:39 +0200 (MET DST)
Subject: Special Issue of BIT on CERFACS Workshop

The proceedings from the International Linear Algebra Year (ILAY)
workshop on Eigenvalues and Stability, CERFACS, Toulouse, October
17--20, 1995, edited by Francoise Chaitin-Chatelin are available as
a special issue BIT 36:3, 1996. The forthcoming issue BIT 37:3
(September 1997) edited by Iain Duff, Luc Giraud, and Craig Douglas
will contain papers from the ILAY workshops on direct and iterative
methods for linear systems

You can get your copy of BIT 36:3 for only US $30. Alternatively,
get the issue FREE if you make an indvidual subscription to BIT for
1997, which will include also the second special issue. The reduced
individual subscription price is US $90 (regular $180), and applies
only on condition that the sub-scription is paid by a private person
using a private mailing address.

Send your order with a check or money order enclosed to:
BIT Numerical Mathematics, Postbox 113, DK-1004 Copenhagen K,
DENMARK (FAX +45-33 12 50 33).


Iterative methods for the computation of a few eigenvalues
of a large symmetric matrix
J. BAGLAMA, D. CALVETTI, and L. REICHEL, pp. 400-421
Computing the field of values and pseudospectra using the Lanczos
method with continuation
T. BRACONNIER and N. J. HIGHAM, pp. 422--440
A curve tracing algorithm for computing the pseudospectrum
M. BR\"UHL, pp. 441--454
Convergence in finite precision of successive iteration methods
under high nonnormality
F. CHAITIN-CHATELIN and S. GRATTON, pp. 455--469
Arnoldi versus nonsymmetric Lanczos algorithms for solving
matrix eigenvalue problems
J. CULLUM, pp. 470--493
On conjugate gradient-like methods for eigen-like problems
A. EDELMAN and S. T. SMITH, pp. 494--508
An inverse iteration method using multigrid for quantum chemistry
J.-L. FATTEBERT, pp. 509--522
On the condition number of linear least squares problems in
a weighted Frobenius norm.
S. GRATTON, pp. 523--530
Meromorphic resolvents and power bounded operators
O. NEVANLINNA, pp. 531--541
Invariant subspaces for tightly clustered eigenvalues of
B. N. PARLETT, pp. 542--562
Solution of large eigenvalue problems in electronic structure
S. OGUT, pp. 563--578
Arnoldi-Riccati method for large eigenvalue problems
V. SIMONCINI and M. SADKANE, pp. 579--594
Jacobi-Davidson type methods for generalized eigenproblems and
polynomial eigenproblems
H. A. VAN DER VORST, pp. 595--633


From: Ake Bjorck <>
Date: Wed, 30 Apr 1997 16:00:43 +0200 (MET DST)
Subject: Contents, BIT

CONTENTS BIT Volume 37, No. 2 (June 1997)
ISSN 0006-3835

On the Galerkin finite element approximations to multi-dimensional
differential and integro-differential parabolic equations
N. Yu. Bakaev, pp. 237--255

On summation formulas due to Plana, Lindel\"of and Abel, and related
Gauss-Christoffel rules, I
G. Dahlquist, pp. 256--295

On the nonlinear domain decomposition method
M. Dryja and W. Hackbusch, pp. 296--311

On $G^2$ continuous cubic spline interpolation
Y. Y. Feng and J. Kozak, pp. 312--332

Polynomial root computation by means of the LR algorithm
L. Gemignani, pp. 333--345

Approximating Runge-Kutta matrices by triangular matrices
W. Hoffmann and J. J. B. de Swart, pp. 346--354

Testing linear operators---an average case study
D. Lee and H. Wo\'zniakowski, pp. 355--376

Breakdowns and stagnation in iterative methods
Z. Leyk, pp. 377--403

The Galerkin scheme for Lavrentiev's $m$-times iterated method to
solve linear accretive Volterra integral equations of the first kind
R. Plato, pp. 404--423

Convergence of general linear methods on differential-algebraic
systems of index 3
S. Schneider, pp. 424--441

Error growth analysis via stability regions for discretizations of
initial value problems
M. N. Spijker and F. A. J. Straetemans, pp. 442--464


Higher order symplectic RK and RKN methods using perturbed
G. Ramaswami, pp. 465

New Books and Journals, pp. 472


From: Edward Sisson <>
Date: Wed, 30 Apr 97 11:47:50 EST
Subject: Contents, SIAM Numerical Analysis

SIAM Journal on Numerical Analysis
Volume 34, Number 3, JUNE 1997

Computation of Singularities in Large Nonlinear Systems
W. Govaerts

Stability and Convergence of a Finite Element Method for Reactive Transport in
Ground Water
Zhangxin Chen and Richard E. Ewing

Scattered Data Interpolation Using C2 Supersplines of Degree Six
Ming-Jun Lai and Larry L. Schumaker

Subdivision Direction Selection in Interval Methods for Global Optimization
T. Csendes and D. Ratz

Preconditioning Chebyshev Spectral Collocation by Finite-Difference Operators
Sang Dong Kim and Seymour V. Parter

Optimal L1-Rate of Convergence for the Viscosity Method and Monotone Scheme to
Piecewise Constant Solutions with Shocks
Zhen-Huan Teng and Pingwen Zhang

Mesh Smoothing Using A Posteriori Error Estimates
Randolph E. Bank and R. Kent Smith

A Convergence Analysis of an h-Version Finite-Element Method with High-Order
Elements for Two-Dimensional Elasto-Plasticity Problems
Yiwei Li and Ivo Babuska

A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems
with Singularities
Xiaonan Wu and Houde Han

A Sequential Regularization Method for Time-Dependent Incompressible
Navier-Stokes Equations
Ping Lin

Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
James H. Bramble, Joseph E. Pasciak, and Apostol T. Vassilev

A Penalized Finite-Element Method for a Compressible Stokes System
R. Bruce Kellogg and Biyue Liu

Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
Weizhang Huang and Robert D. Russell

Analysis of the Cell-Vertex Finite Volume Method for Hyperbolic Problems with
Variable Coefficients
Philippe Balland and Endre Suli

An L1-Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff
System of Conservation Laws
Hans Joachim Schroll, Aslak Tveito, and Ragnar Winther

Best Error Bounds for Odd and Even Degree Deficient Splines
Francois Dubeau and Jean Savoie

An ADI Method for Hysteretic Reaction-Diffusion Systems
Chichia Chiu and Noel Walkington

The Numerical Computation of Homoclinic Orbits for Maps
W.-J. Beyn and J.-M. Kleinkauf

Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in
Linear Solid Viscoelasticity
S. Shaw, M. K. Warby, and J. R. Whiteman

The Application of Eigenpair Stability to Block Diagonalization
Nilotpal Ghosh, William W. Hager, and Purandar Sarmah

Defining Functions for Multiple Hopf Bifurcations
W. Govaerts, J. Guckenheimer, and A. Khibnik


End of NA Digest