Edit detail for Jet Bundles revision 1 of 5

changed:
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On February 7, 2006 10:24 AM C Y wrote:

Subject: [Axiom-developer] JET source code up in the Axiom portal
 
Werner M. Seiler's JET - An AXIOM Environment for Geometric
Computations with Differential Equations - is now available under
Modified BSD.  Code only, but the paper can be read online: 

http://www.ubka.uni-karlsruhe.de/cgi-bin/psview?document=/1997/Ettlingen/110&search=/1997/Ettlingen/110

Other links are also available in the axiom portal:

http://portal.axiom-developer.org/search?SearchableText=JET

The code can be downloaded from here: 

http://portal.axiom-developer.org/Members/starseeker/Jet-June1995.tar.gz

I wish to thank Werner Seiler for digging up this code and granting
permission to use it, and apologize for not announcing this sooner - it
was actually online back in late December.

---------

Basic data structures and procedures for jet bundles.
-- Copyright (c) 1993, Joachim Schue, Werner M. Seiler

All rights reserved.

Redistribution and use in source and binary forms, with or without 
modification, are permitted provided that the following conditions 
are met:

    * Redistributions of source code must retain the above 
      copyright notice, this list of conditions and the 
      following disclaimer.

    * Redistributions in binary form must reproduce the 
      above copyright notice, this list of conditions and 
      the following disclaimer in the documentation and/or 
      other materials provided with the distribution.

    * Neither the name of the Karlsruhe University nor the  
      names of its contributors may be used to endorse or  
      promote products derived from this software without  
      specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 
FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, 
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, 
BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER 
CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 
LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN 
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 
POSSIBILITY OF SUCH DAMAGE.

(C) Version 1  1993  Joachim Schue, Werner M. Seiler

(C) Version 2  1993  Werner M. Seiler

SPAD

  * [Jet BaseFunctionCategory]

  * [Jet CartanKuranishi]

  * [Jet Differential]

  * [Jet DifferentialEquation]

  * JetBundle

  * JetBundleCategory

  * JetBundleExpression

  * JetBundleFunctionCategory

  * IndexedJetBundle

  * [Jet LUDecomposition]
                           
  * [Jet SparseEchelonMatrix]

  * [Jet VectorField]

Aldor

  * [Aldor JetBundle]

  * [Aldor Jet Sparse]

Applying AXIOM to Partial Differential Equations

  by W.M. Seiler, 1997.

Examples from the paper:

[Jet Figure 4] -- In- and output for the Janet example

[Jet Figure 5] -- In- and output for the Euler Equation

[SandBox Jet Figure 6] -- Output for the contrained system

[SandBox Jet Figure 7] -- Determining system for the Heat Equation

[SandBox Jet Figure 8] -- Cole-Hopf transformation of the Burgers Equation