### Today's Editor:

- Cleve Moler
- The MathWorks, Inc.
- moler@mathworks.com

- IEEE Trap Handling on SUN Systems
- Help for IEEE Floating Point Woes
- Reality check for an IEEE arithmetic critic
- Code for Cubic Schroedinger Equation
- Fortran 90 Introduction and Conversion
- One day MATLAB Course at RMCS (Cranfield)
- Mathematics-in-Industry Study Group
- Gelfand Celebration
- Postions at King Saud University
- Two Post-Doctoral Positions at Napier University, SCOTLAND
- Research and Development Programmer Positions
- Faculty Positions at SUNY-Buffalo
- Contents, Linear Algebra and its Applciations
- Contents, SIAM Mathematical Analysis
- Contents, IMA Numerical Analysis

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

From: Richard Lehoucq <lehoucq@masc15.rice.edu>

Date: Tue, 21 Sep 93 17:03:55 CDT

**Subject: IEEE Trap Handling on SUN Systems**

The following is the code needed to be able to trap Floating Point

exceptions within your code on SUN systems in FORTRAN.

Note: for you C programming types, this also works within C software.

Compile the following integer function along with the rest of

your code. You need to compile this and the routines you

want to look at with the -g option if using the debugger.

This has proved instrumental in debugging.

integer function handler(sig,code,sigcontext)

integer sig

integer code

integer sigcontext(5)

print *, ' ieee exception code ',loc(code),

& ' occurred at pc ', sigcontext(4)

call abort

end

Notes: the name 'handler' is user defined.

The first line of your main program needs the followinf stmt:

ieee= ieee_handler('set','common',handler)

or(or both):

ieee= ieee_handler('set','underflow',handler)

The last line of main program needs the following stmt.

ieee= ieee_handler('clear','all',handler)

notes: 'common' flags overflow, NaN, division by zero.

See man page on ieee_handler for more info.

User defined 'handler' needs to be declared as an

external integer function within the main program unit.

the integer variable 'ieee' is user defined.

Now complie with -g switch, fire up the debugger and make

sure the first command issued within the debugger is:

catch FPE

and type run. Upon encountering an exception, the code pauses execution

and the debugger points to the trapped line and informs user of what exception

occured and at what line number. To continue type cont and you will

encounter the next exception(if any).

An excellent reference is the SUN manual:

Numerical Computation Guide.

DISCLAIMER: I don't profess that this is the best or only way to

trap for floating point exceptions under SUN systems.

-- Richard Lehoucq

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

From: Jim Van Zandt <jrv@mbunix.mitre.org>

Date: Wed, 22 Sep 93 08:02:52 -0400

**Subject: Help for IEEE Floating Point Woes**

Richard Brankin <richard@num-alg-grp.co.uk> writes:

>The following may be of help, for SGI Indigo users anyway,

>

>setenv TRAP_FPE "UNDERFL=ZERO;OVERFL=TRACE(1),EXIT;DIVZERO=TRACE(1),EXIT;INVALID=TRACE(1),EXIT"

>

>and don't forget to link with "-lfpe" when building an executable. This

>has the effect "underflow to zero; bomb out with a traceback when either

>overflow, or divide by zero, or an invalid operand is detected", with

>which I expect most people would be happy.

Can anyone suggest how to get similar effects with Turbo/Borland C?

-- Jim Van Zandt <jrv@mitre.org>

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

From: Dean Schulze <schulze@asgard.lpl.Arizona.EDU>

Date: Sat, 25 Sep 1993 16:07:42 -0700 (MST)

**Subject: Reality check for an IEEE arithmetic critic**

Joe Grcar's complaints about IEEE arithmetic need to be addressed because

some of the things that he says are simply wrong. He made this complaint in

August of 1991:

>There is no machine epsilon.

Yes there is. Numbers can underflow, however, to de-normalized values

that result in a loss of precision. If you think this is a problem how are

you dealing with non-IEEE arithmetic that simply underflows to zero without

telling you about it?

Two weeks ago Grcar published part 2 of his complaint about IEEE

arithmetic which included the following:

>A colleague with a PhD in mechanical engineering just walked

>into may office and said:

>"I like my new SGI Indigo, but I really don't like those NaN

>things it has. I'm rewriting a piece of software and when I

>looked at the output it was all full of NaN's. I found out

>this means I'm dividing by zero somewhere, but where? ..."

Wrong. Under IEEE arithmetic dividing a finite, non-zero number by

zero produces an Inf. Division by zero produces a NaN only if the numerator

is zero, Inf, or NaN. NaNs can also be the result of common programming

errors like reading beyond the bounds of an array.

>By chance I once asked SGI technical support where to find

>documentation on IEEE arithmetic.

Here is an excellent reference that describes IEEE arithmetic:

"What every computer scientists should know about floating-point

arithmetic", David Goldberg, ACM Computing Surveys, v23, #1,

pp. 5-48, 1991.

In response to his posting, I sent Joe Grcar a message that included

this citation. He responded with:

>Pardon me for saying so, but I think your opinion

>of ieee arithmetic would be different if you had

>a real job instead of an academic one. Scientists

>and engineers don't hae time to read arcane

>documentation about trivia in some other field.

Well, I am a scientist and I have to read many papers every month, and

I found that reading Goldberg's paper was beneficial. But if Grcar doesn't

have time to read one paper where does he get the time to write complaints

about IEEE arithmetic for NA Digest? It may be easier to complain than it

is to educate yourself, but then why bother asking for documentation on IEEE

arithmetic in the first place. And why waste the bandwidth on the

network if you are going to be churlish when someone responds with a

reference that you were trying to find?

Also, I think that the people at Motorola, Intel, Sun, the Free Software

Foundation, Symantec, etc., etc., who implement IEEE arithmetic in hardware

and software, will be quite surprised to hear that they don't have real jobs.

I see two problems with IEEE arithmetic, neither one inherent to the

IEEE standard. First, there is a great deal of misinformation floating

around about it (i.e. getting a NaN means that you're dividing by zero).

Probably the worst example I've seen of misinformation about IEEE arithmetic

is P.J. Plauger's book __The Standard C Library__. He makes some ambiguous

comments about IEEE arithmetic in his chapter on the ANSI C math library

that lead you to believe that ANSI C requires IEEE arithmetic. It doesn't,

and he should have explicitly said so instead of making misleading comments.

Goldberg's paper is the cure for this problem.

The second problem is that examples of how to use the features of IEEE

arithmetic in C and Fortran source code are not readily available.

Unfortunately, Goldberg's paper is of no help here. Does anyone have

any examples of profitable use of IEEE arithmetic in their source code

that they can share?

Dean Schulze

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

From: William E. Schiesser <wes1@Lehigh.EDU>

Date: Fri, 24 Sep 1993 13:46:31 EDT

**Subject: Code for Cubic Schroedinger Equation**

A complete Fortran code for the method of lines (MOL) integration of the

cubic Schroedinger equation (CSE) is available (on a DOS-formatted diskette).

This code demonstrates the solitons of the CSE, and gives a comparion of the

MOL solution with the analytical solution for the one-soliton case. A paper

pertaining to the CSE, the analytical solution and the MOL approximation is

included with the code. Requests should be sent to:

W. E. Schiesser

Iacocca Hall, D307

Lehigh University

111 Research Drive

Bethlehem, PA 18015 USA

(215) 758-4264 (office)

(215) 758-5057 (fax)

wes1@lehigh.edu (Internet)

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

From: Bert Buckley <bbuckley@agb.RoyalRoads.ca>

Date: Sat, 25 Sep 93 15:46:38 -0700

**Subject: Fortran 90 Introduction and Conversion**

A preprint of a pair of papers which have been accepted for publication

in TOMS is available via anonymous ftp.

The papers are

1. Conversion to Fortran 90: A Case Study

This describes the conversion of the published TOMS

Algorithm 630 from Fortran 77 to Fortran 90. The paper

can serve as an introduction to many of the features of

Fortran 90. As well, it discusses some of the issues

involved in doing a conversion.

2. A Fortran 90 code for Unconstrained Nonlinear Minimization

This is the converted version of Algorithm 630. It makes

extensive use of many of the new features of Fortran 90.

The code for the Fortran 90 algorithm is also available. Further

details are available in the readme file on the ftp server.

The papers are stored as postscript files. Readers who do not have access

to anonymous ftp or who cannot conveniently handle postscript files may

directly contact the author:

Bert Buckley

bbuckley@agb.royalroads.ca

The files are available in the directory

pub/software/bbuckley/alg999

on the ftp server

ftp.royalroads.ca

Comments are welcome.

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

From: E. Smith <smithe@rmcs.cranfield.ac.uk>

Date: Thu, 23 Sep 93 13:11 +0100 (BST)

**Subject: One day MATLAB Course at RMCS (Cranfield)**

One day Course

MATLAB: a tutorial introduction

1 WHEN AND WHERE

16 November 1993

Applied Mathematics and Operational Research Group, Royal Military

College of Science.

2 PARTICIPANTS

The course is specifically designed for scientists, engineers and

lecturers who either use routine numerical/matrix calculations in

their specific application area or teach the subject at various

levels. No specialist knowledge of programming or computer science is

required, but participants are expected to have basic knowledge of

computing and to be educated to degree level.

3 COURSE MATERIAL

Every participant will receive a comprehensive set of lecture notes

illustrating various features of MATLAB.

4 COURSE OVERVIEW

The course provides hands-on experience of the MATLAB package, and

will be followed by an in-depth presentation of case studies which

deal with specialist topics from Signal Processing, Control System

Design, Numerical Computations, Splines and Optimization. Most of the

afternoon is devoted to tutorials and the participants will have ample

opportunity to work on a specialist topic of their choice.

5 COURSE STAFF

The course lectures will be given by the teaching and research staff

of the Applied Mathematics and Operational Research Group under the

direction of Dr. Venkat V.S.S. Sastry.

6 COURSE FEES

The fee of #150 (pounds) includes morning coffee, afternoon tea, a

copy of lecture notes and all computer facilities used. (Academic

staff: #112.50 (pounds), research students: #75 (pounds)). Cheques

are payable to RMCS(Cranfield).

7 BOOKING

To reserve a place on the course please write to Mrs. E. Smith,

Applied Mathematics and Operational Research Group, RMCS, Shrivenham,

Swindon, Wilts., SN6 8LA or Tel: (0793) 785317 or Fax: (0793) 782179

or e-mail: smithe@uk.ac.cran.rmcs

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

From: Kerry Anne Landman <kal@mundoe.maths.mu.oz.au>

Date: Fri, 24 Sep 93 09:42:23 EST

**Subject: Mathematics-in-Industry Study Group**

MATHEMATICS-IN-INDUSTRY STUDY GROUP

31 January -- 4 February 1994 at the University of Newcastle

The tenth annual Mathematics-in-Industry Study Group (MISG) will be held at

the University of Newcastle from Monday January 31 to Friday February 4, 1994.

This meeting will be the first under the aegis of the Department of Mathematics

at the University of Melbourne. This department has recently become the new

sponsor of the MISG for a period of three to five years, with Dr Kerry A.

Landman as director.

The MISG brings mathematicians together to work exclusively on real-life

problems facing business and industry. Since 1984 the Study Group has worked

on 63 problems from 39 organisations, with participating companies ranging

from small electronics firms to mining giants. Past problems include

differential equation modelling, operations research, software design,

computational problems, communication theory, statistical problems, and more.

The applications have spanned Australian industry. The major prerequisites

are that the problems should be of practical importance and amenable to

mathematical modelling.

The Study Group is an opportunity for mathematicians to apply their skills

to real problems that present exciting challenges and new research topics,

and for industry to explore the problem solving power of mathematics.

The format of the Study Group will remain as in recent years. On the first

day, a set of scientific problems of industrial origin will be described by

industrial representatives and the assigned problem moderators. The

mathematicians will then work collaboratively with the industry participants

on the problems for three days before presenting their results on the final

day.

Please note the following items

- Financial support will be available on a needs basis for students,

unemployed mathematicians, and academic mathematicians. This will be in

the form of grants for travel costs and a contribution towards

accommodation costs.

- The MISG is keen to ensure greater participation by young mathematicians,

including those at Honours level. Seminars to describe the Study Group and

to encourage participation will be given at a number of universities in

spring this year.

- The MISG is hopeful that the Study Group will stimulate Honours projects

and eventually higher degrees; sponsorship for these projects will be

sought from major companies.

- A student technical essay competition with prize money from a sponsor

is again planned to be held in association with the Study Group.

- If you have any suggestion for suitable Study Group problems, or

industrial contacts who may have a problem for the Study group, please

get in touch with Kerry Landman

To have your name entered on the mailing list for the next circular, contact

Dr Kerry Anne Landman

Department of Mathematics,

University of Melbourne,

Parkville,

Victoria 3052

Australia,

ph (03) 344 6762, fax (03) 344 4599 or

email misg@mundoe.maths.mu.oz.au

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

From: Harriet Cohen <harriet@math.rutgers.edu>

Date: Fri, 24 Sep 93 10:57:25 EDT

**Subject: Gelfand Celebration**

This is a preliminary announcement of the next Statistical Mechanics

Meeting which will take place at Rutgers on December 15th, 16th, and 17th,

1993. A complete program will be sent out in the middle of October. The

tentative list of speakers includes:

M. Avellaneda, N. Berker, W. Bialek, O. Biham,

E. Bodenschatz, H. Brezis, L. Bunimovich, P. Cvitanovic,

R. Goldstein, D. Haldane, P. Hohenberg, A. Karma,

H. Koch, P. Kolodner, A. Majda, S. Orszag,

Y. Pomeau, D. Tsui, D. Vanderbilt

MEANWHILE, I WOULD APPRECIATE IF YOU WOULD LET ME KNOW IF YOU RECEIVE MORE

COPIES OF THIS ANNOUNCEMENT THAN YOU WANT. [Even one might be too many.]

Also, if you know of someone who should be on the email-mailing list but

is not, please let me know.

If I do not hear from you, I will assume that everything is okay and will

use the same address for the announcement.

With best wishes,

Joel

Professor Joel L. Lebowitz: ARPANET: lebowitz@math.rutgers.edu

BITNET: LEBOWITZ@ZODIAC

P.S. There will be a conference at Rutgers, October 24 - 27, 1993, in

celebration of Israel M. Gelfand's 80th Birthday. Speakers listed are:

K.Aomoto, A.Connes, I.Frenkel, M.Gromov, L.Jeffrey, M.Jimbo, M.Kapranov,

D.Kazhdan, B.Kontsevich, B.Kostant, R.MacPherson, O.Mathieu, C.Moeglin,

A.Polyakov, I.Singer, E.Witten, S.-T. Yau and A.Zamolodchikov

For more information, please contact: Mary Anne Jablonski, Administrative

Assistant Gelfand Conference RUTGERS - Department of Mathematics,

Hill Center, Busch Campus, New Brunswick, NJ 08903, USA

email:gelfandc@math.rutgers.edu Phone:(908)932-3921 FAX:(908)932-5530

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

From: Omar Hamed <F40M001%SAKSU00.BITNET@VTBIT.CC.VT.EDU>

Date: Wed, 22 Sep 93 12:39:19 +0000 (SLT)

**Subject: Postions at King Saud University**

We would like to announce the need of our department to hire two

professors in mathematics with high calibre of research and academic

performence specially with the experience of supervision of PH.D. students.

The jobs are going to be available in January, 1994, with very attractive,

tax exempt salaries and allowances for children's education and provision

of free accomodation and health care beside other benefits.

Interseted persons should send their c.v. with recent photo to:

Mathematics Department

College of Science

King Saud University

P.O.Box 2455

Riyadh 11451

Saudi Arabia

For further information you may send e-mail to f40m033@saksu00 (bitnet)

or fax us at ++ 966 1 4676512

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

From: Gavin Pringle <gavin@maths.napier.ac.uk>

Date: Wed, 22 Sep 93 17:01:38 +0100 (BST)

**Subject: Two Post-Doctoral Positions at Napier University, SCOTLAND**

(I am posting this as a favour, please do not reply to this email address.

Thanks, Gavin)

NAPIER UNIVERSITY, EDINBURGH, SCOTLAND

DEPARTMENT OF MATHEMATICS

POST DOCTORAL RESEARCH ASSISTANTS (2 POSTS)

12,638 - 14,962 pounds (under review)

The Mathematics Department, as a result of recent funding of SHEFC, is able

to announce the appointment of two-post-doctoral Research Assistants, for a

period of two years initially, to work with the Computational Applied

Mathematics Group, whose interests include Engineering Geometry, Solar

Magnetohydrodynamics, Rational Approximation Theory, Computational Fluid

Dynamics and the Computational N-body problem.

In particular, one Assistant will concentrate on the Computational N-body

problem (including parallel implementation) in the context of Fluid Dynamics.

It is expected that part of the duties of the second Assistant will involve

numerical problems associated with Rational Approximants, although no prior

expertise in this topic is required.

Substantial expertise in Computational Mathematics would be an advantage in

each case. The successful candidates will be expected to have, or to have

submitted for, Ph.D degrees upon taking up their appointments.

Appointment will normally be made within the lowest quartile of the salary

scale.

Application forms and further particulars are available from the Head of

Personnel services, Napier University, 219 Colinton Road, EDINBURGH,

EH14 1DJ, SCOTLAND. Tel: +44 31 455 4288 or +44 31 455 4564.

Closing Date: Friday 15 October 1993.

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

From: Stanley Osher <sjo@math.ucla.edu>

Date: Wed, 22 Sep 93 16:50:58 PDT

**Subject: Research and Development Programmer Positions**

At rapidly growing numerical image processing company. Bachelor

or Masters degree, excellent C-programming, Unix/systems level,

background in algorithms. Signal/image processing, graphics, numerics,

windows and windows 3.1 development. Excellent computing/scientific

environment. Hardware understanding is desirable.

Please mail resume to: 2800-28th Street, Suite 101, Santa Monica, CA

90405

Stan Osher

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

From: Luis Mandel <mandel@informatik.uni-muenchen.de>

Date: Fri, 24 Sep 1993 10:41:45 +0200 (MET DST)

**Subject: Faculty Positions at SUNY-Buffalo**

STATE UNIVERSITY OF NEW YORK AT BUFFALO

Faculty Positions

The Department of Computer Science seeks candidates for faculty

positions at the Assistant or Associate Professor level. We will

consider only those candidates who demonstrate exceedingly high

research promise. We are seeking candidates in applied and ex-

perimental areas of computer science as well as candidates who

will collaborate with researchers in other disciplines. We are

especially keen on attracting faculty in parallel computing and

systems in order to continue to build our current base in those

areas.

The department currently has 15 tenure-track faculty, 3 full-time

lecturers, and 9 research and adjunct faculty members. Primary

research areas include: artificial intelligence, complexity

theory, computer vision, numerical linear algebra, parallel algo-

rithms, pattern recognition, programming languages, systems and

VLSI. Department members are actively engaged in interdisci-

plinary research with the Graduate Group in High Performance Com-

puting, Cognitive Science Center, Medical Foundation of Buffalo,

NSF National Center for Geographic Information and Analysis, and

the USPS Center of Excellence for Document Analysis and Recogni-

tion.

Address applications, including a cover letter, curriculum vitae,

a one-page research statement, and names and addresses of three

references to: Professor Anthony Ralston; Chair, Recruiting Com-

mittee; 226 Bell Hall; Department of Computer Science; State

University of New York; Buffalo, NY 14260-2000. E-mail:

ralston@cs.buffalo.edu. Phone: (716) 645-3180. FAX: (716) 645-

3464.

SUNY is an Equal Opportunity/Affirmative Action employer.

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

From: Richard Brualdi <brualdi@math.wisc.edu>

Date: Thu, 23 Sep 1993 08:28:07 -0500 (CDT)

**Subject: Contents, Linear Algebra and its Applciations**

LINEAR ALGEBRA AND ITS APPLICATIONS

Volume 193

Eduardo Marques de Sa (Coimbra, Portugal) and Maria-Jose Sodupe (Bilbao, Espana)

Characterizations of *Orthant-Monotonic Norms 1

Gerhard Schmeisser (Erlangen, Germany)

A Real Symmetric Tridiagonal Matrix With a Given Characteristic

Polynomial 11

Dietrich von Rosen (Uppsala, Sweden)

Homogeneous Matrix Equations and Multivariate Linear Models 19

John A. Kaliski and Yinyu Ye (Iowa City, Iowa)

An Extension of the Potential Reduction Algorithm for Linear

Complementarity Problems With Some Priority Goals 35

Zinovy Reichstein (Berkeley, California)

On Automorphisms of Matrix Invariants Induced From the Trace Ring 51

Karla Rost (Chemnitz, Germany)

Generalized Lyapunov Equations, Matrices With Displacement

Structure, and Generalized Bezoutians 75

M. C. Gouveia (Coimbra, Portugal)

Generalized Invertibility of Hankel and Toeplitz Matrices 95

L. J. Landau and R. F. Streater (London, England)

On Birkhoff's Theorem for Doubly Stochastic Completely Positive

Maps of Matrix Algebras 107

Karlheinz Grochenig (Storrs, Connecticut)

A Discrete Theory of Irregular Sampling 129

Karla Rost (Chemnitz, Germany)

Generalized Companion Matrices and Matrix Representations for

Generalized Bezoutians 151

Vlad Ionescu and Martin Weiss (Bucharest, Romania)

Continuous and Discrete-Time Riccati Theory: A Popov-Function

Approach 173

R. Kit Kittappa (Millersville, Pennsylvania)

A Representation of the Solution of the nth Order Linear

Difference Equation With Variable Coefficients 211

Author Index 223

Special Issues in Progress

1. Proceedings of the Second Conference of the International Linear Algebra

Society at Lisbon; special editors are J. A. Dias da Silva, Chi-Kwong Li, and

Graciano de Oliveira. To appear as Volume 197, January 15, 1994.

2. Special Issue Honoring Ingram Olkin: special editors are Friedrich

Pukelsheim, George P. H. Styan, Henry Wolkowicz, and Ion Zaballa. To appear as

Volume 199, March 1, 1994.

3. Special Issue Honoring Marvin Marcus; special editors are Bryan E. Cain,

Moshe Goldberg, Robert Grone, and Nicholas J. Higham. Submission deadline:

December 31, 1992. Details in Volume 161, January 15, 1992.

4. Linear Systems and Control, Third Special Issue; special editors are A. C.

Antoulas, P. A. Fuhrmann, M. L. J. Hautus, and Y. Yamamoto. Submission

deadline: November 30, 1992. Details in Volumes 162-164, February 1992.

5. Special Issue Honoring Chandler Davis; special editors are Rajendra Bhatia,

Shmuel Friedland, and Peter Rosenthal. Submission deadline: March 31, 1993.

Details in Volume 169, May 1992.

6. Proceedings of the Third Conference of the International Linear Algebra

Society at Pensacola; special editors are Dianne P. O'Leary, Leiba Rodman, and

Helene Shapiro. Submission deadline: June 30, 1993. Details provided with the

conference announcement.

7. Proceedings of the conference ``Matrices and Graphs'' in honor of John

Maybee's 65th birthday, held at Boulder, Colorado, May 7, 8, 1993. Special

editors: C. R. Johnson and J. R. Lundgren. Submission deadline: August 31,

1993. Details provided with the conference announcement.

8. Fourth Special Issue on Linear Algebra and Statistics; special editors are

Jeffrey J. Hunter, Simo Puntanen, and George P. H. Styan. Submission deadline:

June 30, 1993. Details in Volume 177, December 1992.

9. Proceedings of the workshop ``Nonnegative Matrices, Applications and

Generalizations'' and the Eighth Haifa Matrix Theory conference held at Haifa,

Israel, May 31-June 4 and June 7-June 10, 1993, respectively. Special editors:

S. Friedland, D. Hershkowitz, and R. Loewy. Submission deadline: September 15,

1993. Details provided with the conference announcement.

10. Special Issue Honoring Miroslav Fiedler and Vlastimil Ptak; special

editors are Wayne Barrett, Angelika Bunse-Gerstner, and Nicholas Young.

Submission deadline: August 31, 1993. Details in Volume 179.

11. Proceedings of the Fourth Conference of the International Linear Algebra

Society at Rotterdam; special editors are Harm Bart, Ludwig Elsner, and Andre

Ran. Submission deadline November 30, 1994. Details provided with the

conference announcement.

12. Special issue honoring J. J. Seidel; special editors are Aart Blokhuis,

Willem H. Haemers and Alan J. Hoffman. Submission deadline: August 30, 1994.

Details in Volume 193, November 1, 1993.

Special issues are available to individuals at a reduced rate. For further

information, please contact Yusuf Guvenc, Journals Customer Service, Elsevier

Science Publishing Co., 655 Avenue of the Americas, New York, NY 10010; Tel.

212-633-3955; Fax 212-633-3990.

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

From: SIAM <tate@siam.org>

Date: Fri, 24 Sep 93 12:03:06 EST

**Subject: Contents, SIAM Mathematical Analysis**

Table of Contents

SIAM J. Math. Anal.

January 1994, Vol. 25, No. 1

On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid

Bounded by a Free Surface

W.M. Zajaczkowski

Solutions for Two Dimensional System for Materials of Korteweg Type

Harumi Hattori and Dening Li

Instability of Planar Interfaces in Reaction Diffusion Systems

Masaharu Taniguchi and Yasumasa Nishiura

Tikhonov Regularization for Finitely and Infinitely Smoothing Operators

B.A. Mair

Regularizing Microscopes and Rivers

Marc Diener

A New Standard Isometry of Developable Surfaces in CAD/CAM

Erwin Kreyszig

Existence of a Homoclinic Orbit of the Lorenz System by Precise Shooting

Brian Hassard and Jianhe Zhang

The Addition Formula for Continuous q-Legendre Polynomials and Associated

Spherical Elements on the SU(2) Quantum Group Related to Askey-Wilson Polynomial

s

H.T. Koelink

Basic Hypergeometric Functions and the Borel-Weil Construction for UQ(3)

M.A. Lohe and L.C. Biedenharn

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

From: Iain Duff <isd@letterbox.rl.ac.uk>

Date: Sat, 25 Sep 93 08:19:52 +0100 (BST)

**Subject: Contents, IMA Numerical Analysis**

IMA Journal Numerical Analysis.

Volume 13, Number 4. October 1993.

Pruess S 2

Shape preserving C cubic spline interpolation.

Chandler-Wilde S N

Some uniform and stability and convergence results for integral

equations on the real line and projection methods for their solution.

Achdou Y and Pironneau O

The chi-method for the Navier-Stokes equation.

Binding P A, Browne P J, and Ji X

A numerical method using the Prufer transformation for the calculation

of eigenpairs of two parameter Sturm-Liouville problems.

Fuchs P M

A global negative result on algebraic stability and a special positive

result on linear stability of generalized IRK methods.

Sloan I H, Dat Tran, and Fairweather G

A fourth-order cubic spline method for linear second-order two-point

boundary value problems.

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

End of NA Digest

**************************

-------