reduce-algebra
/
reduce-historical
同期ミラー git://github.com/reduce-algebra/reduce-historical


			
				
					
						
						
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							crack.html

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<TD>Authors</TD>
<TD>Andreas Brand, Thomas Wolf</TD></TR>
<TR>
<TD>Title</TD>
<TD><font face="Courier New">CRACK</font></TD></TR>
<TR>
<TD>Short description</TD>
<TD>
The package <font face="Courier New">CRACK</font> attempts to
solve an overdetermined system of ordinary or partial
differential equations (ODEs/PDEs) with at most polynomial
non-linearities in the unknown functions and their derivatives.
It can be run in automatic batch mode or interactively.
Applications of <font face="Courier New">CRACK</font> include
a program <a href="conlaw.html">
<font face="Courier New">CONLAW</font></a>
for the computation of conservation laws of DEs, 
a program <a href="liepde.html">
<font face="Courier New">LIEPDE</font></a>
for the computation of infinitesimal symmetries of DEs
and a program <a href="applysym.html">
<font face="Courier New">APPLYSYM</font></a>
for the computation of symmetry and similarity variables from
infinitesimal symmetries.
</TD></TR>
<TR>
<TD>Platform</TD>
<TD>REDUCE, version 3.6 or 3.7</TD></TR>
<TR>
<TD>System requirements</TD>
<TD>The memory requirements depend crucially on the
application. For example, the test files 
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/crack.tst">
<font face="Courier New">crack.tst</font></a>,
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/applysym/applysym.tst">
<font face="Courier New">applysym.tst</font></a>,
have been 
run in a 4MB session under LINUX. On the other hand, for 
more complex examples in 
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/liepde/liepde.tst">
<font face="Courier New">liepde.tst</font></a> and
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/conlaw/conlaw.tst">
<font face="Courier New">conlaw.tst</font></a>
4MB are not enough but 8MB are. <br>
<font face="Courier New">CRACK</font>
and related programs have been tested under the Portable Standard LISP
(PSL) version and the Codemist Standard Lisp (CSL)
version of REDUCE. </TD></TR>
<TR>
<TD>Installation</TD>
<TD>In a running REDUCE session either do <br>
<font face="Courier New"> &nbsp; in "crack.red"$ </font> <br>
or, in order to speed up computation, either compile it with <br>
<font face="Courier New"> &nbsp; on comp$ </font> <br>
before the above command, or, generate a fast-loading compiled file once with <br>
<font face="Courier New"> &nbsp; faslout "crack"$ </font> <br>
<font face="Courier New"> &nbsp; in "crack.red"$ </font> <br>
<font face="Courier New"> &nbsp; faslend$ </font> <br>
and load that file whenever you want to run 
<font face="Courier New">CRACK</font> with <br>
<font face="Courier New"> &nbsp; load crack$ </font> <br>
The above commands assume all files to be in the current directory. 
</TD></TR>
<TR>
<TD>More information/updates </TD>
<TD>There are available a 
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/crack.tex">
<font face="Courier New">manual</font></a>, a
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/crack.tst">
<font face="Courier New">test file</font></a> and a
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/crack.rlg">
<font face="Courier New">log file</font></a>. <br>
<font face="Courier New"> CRACK </font> can be run from a 
<a href="http://cathode.maths.qmw.ac.uk/demo.html">web demo</a>
created by Francis Wright and Arrigo Triulzi
with problems of restricted size. <br>
The latest version is available from 
<a href="ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/">
ftp://ftp.maths.qmw.ac.uk/pub/tw/crack/</a>. <br>
Publications related to <font face="Courier New">CRACK</font>
can be found 
<a href="http://www.maths.qmw.ac.uk/~tw/public2.html#2">here</a>.
</TD></TR>
<TR>
<TD>Contact</TD>
<TD>e-mail: <a href="mailto:T.Wolf@maths.qmw.ac.uk">
Thomas Wolf</a></TD></TR></TABLE></BODY></HTML>