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crack.html <!DOCTYPE HTML PUBLIC "-//SQ//DTD HTML 2.0 + all extensions//EN" "hmpro3.dtd"> <HTML> <HEAD> <TITLE></TITLE></HEAD> <BODY> <TABLE BORDER="BORDER"> <TR> <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"> in "crack.red"$ </font> <br> or, in order to speed up computation, either compile it with <br> <font face="Courier New"> on comp$ </font> <br> before the above command, or, generate a fast-loading compiled file once with <br> <font face="Courier New"> faslout "crack"$ </font> <br> <font face="Courier New"> in "crack.red"$ </font> <br> <font face="Courier New"> faslend$ </font> <br> and load that file whenever you want to run <font face="Courier New">CRACK</font> with <br> <font face="Courier New"> 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>