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Topic: Mathematics Archives Update #2
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Larry Husch

Posts: 44
Registered: 12/3/04
Mathematics Archives Update #2
Posted: May 18, 1992 3:01 PM
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* * * * * * * * * * * * * * * * * * * * * * * * * * * *
* MATHEMATICS ARCHIVES UPDATES May 18, 1992 *
* at WUARCHIVE.WUSTL.EDU Update #2 *
* Moderator: Larry Husch, Dept. Mathematics *
* University of Tennessee, Knoxville, TN *
* husch@WUARCHIVE.WUSTL.EDU *
* * * * * * * * * * * * * * * * * * * * * * * * * * * *

Pieter Wesseling submitted the following program which has been
placed in the new subdirectory:
edu/math/msdos/numerical.partial.diff.eq
If you want to download this file and if you type:
get mglab.tar
the file will be sent in a (partially) uncompressed form. You will
need to uncompress it further using some PC or UNIX version of the
'tar' program. A PC version of the 'tar' program is
tarread.exe
which can be found in the subdirectory
/mirrors/msdos/starter
----------------------------------------------------------------------
mglab.tar.Z (numerical.partial.diff.eq)

MGLAB.FOR
Pieter Wesseling
Faculty of Technical Mathematics and Informatics
Delft University of Technology
2600 GA Delft, The Netherlands

MGLAB.FOR is a tutorial multigrid program. It solves elliptic boundary
values in one dimension. The user may choose various multigrid
cycles, transfer operators, smoothing methods, and nested iteration
end defect correction. Cell-centered and vertex-centered discretiza-
tion and multigrid is included. Documentation is included in the
program. The program is written in portable FORTRAN-77, and has run
on MS-DOS PC's and Unix mainframes. The methods used are fully
described in the following book: An Introduction to Multigrid Methods,
Wiley, Chichester, 1992 by P.Wesseling.

MGLAB.FOR is the FORTRAN source of the tutorial multigrid program.
MGLAB.DAT is an example of an input file.
MGLAB.RES is the corresponding output.
(from read.me)
---------------------------------------------------------------------
The Mathematics Toolkits Software packages developed at the
University of Arizona were among the first packages placed in the
Mathematics Archives. The following five programs are part of this
collection which just have been placed in these Archives.
---------------------------------------------------------------------
identify.zip (edu/math/msdos/miscellaneous)

IDENTIFY THE FUNCTION
(c) Copyright 1991, 1992. All rights reserved.
David Lomen and David Lovelock
Department of Mathematics
University of Arizona
Tucson, Arizona 85721

This program will see whether you can identify polynomials,
rationals, trig functions, exponentials, and logs. The computer
will graph a function selected from its bank of functions. You are
to identify that function. You can use a mouse in this program.
This is a part of the Mathematics Toolkits Software developed at
the University of Arizona. A manual for all the Toolkits is
available from the Department of Mathematics for $3.
(adapted from the documentation)
-------------------------------------------------------------------
lineint.zip (edu/math/msdos/adv.calculus)
LINE INTEGRAL
(c) Copyright 1991, 1992. All rights reserved.
David Lovelock
Department of Mathematics
University of Arizona
Tucson, Arizona 85721

This program will graph functions of the form y = f(x),
functions of the form x = g(y), polar equations of the form r =
r(t), where t is the angle, as well as parametric equations of the
form x = x(t), y = y(t). Up to nine equations can be plotted. It
also computes line integrals over these curves. You can use a
mouse in this program.
This is a part of the Mathematics Toolkits Software developed at
the University of Arizona. A manual for all the Toolkits is
available from the Department of Mathematics for $3.
(adapted from the documentation)
-------------------------------------------------------------------
linsys.zip (edu/math/msdos/college.algebra)

LINEAR SYSTEMS
(c) Copyright 1991. All rights reserved.
Payton Bissell, Dan Schwartz,
David Lovelock, and William Vlez.
Department of Mathematics
University of Arizona
Tucson, Arizona 85721
This program allows you to solve graphically linear systems of
equations in two unknowns. You can use a mouse in this program.
This is a part of the Mathematics Toolkits Software developed at
the University of Arizona. A manual for all the Toolkits is
available from the Department of Mathematics for $3.
(adapted from the documentation)
-------------------------------------------------------------------
twodmaps.zip (edu/math/msdos/dynamics or /linear.algebra)

TWO D MAPS
(c) Copyright 1989, 1990, 1991, 1992. All rights reserved.
David Lovelock and William Velez.
Department of Mathematics
University of Arizona
Tucson, Arizona 85721

This program allows you to construct and experiment with 2
dimensional affine transformations. You can experiment with
fractals, finding eigenvectors by eye, showing the effect of a map
on a set of points, and showing the solutions of a set of two
linear equations. You can use a mouse in this program.
This is a part of the Mathematics Toolkits Software developed at
the University of Arizona. A manual for all the Toolkits is
available from the Department of Mathematics for $3.
(adapted from the documentation)
-------------------------------------------------------------------
fouri_ss.zip (edu/math/msdos/adv.calculus)

FOURIER SERIES
by
Department of Mathematics
University of Arizona
Tucson, AZ 85721

This slide show consists of graphs of various functions together
with some of their Fourier Series approximations:
A. Triangular Wave
B. Square Wave
C. Saw Tooth Wave
D. Cosine Expansion of Sine
E. Interrupted Square Wave
(from the documentation)
-------------------------------------------------------------------
I have a number of other programs which are mirrored at WUARCHIVE
which could be used in mathematics education. I have established
a symbolic link with these. The first is mirrored from archives
at the University of Michigan.

calc.arc (edu/math/msdos/calculus or /miscellaneous or
/diff.equations or /partial.diff.equations)

Calculus and Differential Equations V 9.
Byoung Keum
Department of Mathematics
University of Illinois
Urbana, IL 61801.

A shareware collection of six programs:
1. DE.COM: graphical solutions of 2 dimensional systems of
differential equations, graphical solutions of the heat, wave,
Laplace equations in 1 and 2 dimensions, integrating factors and
graphs of power series solutions.
2. CALCULUS.COM: symbolic differentiation and integration (of
simple functions), graphs of single variable functions,
parametric equations, simultaneous graphing of a function with
its first and second derivatives, and surface contour of
z=f(x,y).
3. ODE.EXE: an update of the author's previous program "EULER.EXE".
It allows the user to choose between Runge-Kutta method and
Euler's Method to get the solutions of systems of ode's.
4. EULER3D.EXE is a test program for 3-dim extension of ODE.EXE.
5. STRING.EXE: animation of the vibrating string.
6. LP.EXE uses 3-dim graphics window to show graphical meaning of
simplex method for linear programming.
-------------------------------------------------------------------
The following two programs are mirrored from the SIMTEL archives.

fftsing.zip (edu/math/msdos/modelling)

FFT OF VERY LONG SERIES (70000 DATA POINTS)
Javier Soley, Ph. D, FJSOLEY @UCRVM2.BITNET
Escuela de Fisica y Centro de Investigaciones Geofisicas
Universidad de Costa Rica

THIS PROGRAM CALCULATES THE FAST FOURIER TRANSFORM OF VERY LONG
SERIES, AS LONG AS YOUR FAR HEAP ALLOWS. FOR EXAMPLE, USING DOUBLE
PRECISION IT IS POSIBLE TO PROCESS 70.000 REAL DATA POINTS. IT
IMPLEMENTS R. C. SINGLETON'S MIXED RADIX FAST FOURIER ALGORITHM.
SOME FEATURES OF THIS ALGORITHM ARE: 1) THE LENGTH OF THE SERIES
DOES NOT HAVE TO BE BE NECESSARILY A POWER OF TWO, THE LENGTH MAY
INCLUDE FACTORS OF 2 AND 4, AND ALSO ODD FACTORS AS 3,5,7, ETC,2-)
TO AVOID TRUNCATION ERRORS, THE SINES AND COSINES ARE GENERATED
RECURSIVELY, 3-) THE DATA AND ITS TRANSFORM ARE ACCESSED WITH HUGE
POINTERS.
The source code is written in C.
(adapted from the documentation)
-------------------------------------------------------------------
tsmatr11.arc (edu/math/msdos/linear.algebra)

Matrices and Linear Equations Programs

Timo Salmi
Professor of Accounting and Business Finance
School of Business Studies, University of Vaasa
P.O. BOX 297, SF-65101 Vaasa, Finland

Includes three programs:

LINEQ.EXE Solves up to 30 simultaneous linear equations in 30
unknowns.
MATINV.EXE Calculates the inverse and the determinant of a square
matrix.
MATMUL.EXE Multiplication of two matrixes
(adapted from the documentation)
----------------------------------------------------------------------
WUARCHIVE at Washington University at St. Louis is now a site for the
storage of public domain and shareware software and other materials
which can be utilized in the teaching of mathematics at the college
and university levels.

To access these files, use anonymous FTP to wuarchive.wustl.edu,
switch to the subdirectory /edu/math/msdos and choose the subject
area for which you would like to obtain software. In each subject
area there is a file 00info.txt which contains a listing of all
programs in the area together with a short abstract similar to the
above abstracts.

If you have any comments, suggestions about, problems with, etc.
the Mathematics Archives, please contact the moderator Larry Husch at
husch@wuarchive.wustl.edu
If you want to receive future copies of this newsletter and haven't
sent your e-mail address, please send your email address to Larry.
If you would like to submit program(s) and/or other appropriate
material then get in contact with Larry for details.






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