Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] adts_v1_0.tar.gz(9 Kbytes)|
|Manuscript Title: A REDUCE package for finding conserved densities of systems of implicit difference-difference equations|
|Authors: Min Gao, Yasuyuki Kato, Masaaki Ito|
|Program title: TXCD|
|Catalogue identifier: ADTS_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 160(2004)69|
|Programming language: REDUCE 3.6, RLISP.|
|Computer: PC/AT compatible machine.|
|Operating system: Windows 2000.|
|RAM: Depends on the problem, minimum about 2 M bytes.|
|Word size: 32|
|Keywords: Conserved density, Implicit difference-difference equation, Computer algebra, REDUCE.|
|PACS: 02.70.Rw, 02.90.+p..|
Nature of problem:
The existence of conserved densities for difference-difference equations is of interest for their classification and for understanding the stability of their solutions.
The program can handle difference-difference equations which can be transformed to polynomial ones, and determine the homogeneous conservation laws.
It depends on the equation and the rank of the conserved density. It increases exponentially with the rank of the conserved density. The running times on the PC Pentium with operating systems Windows 2000 (Xeon, 1.7 GHz) are shown in the table below. Timings are given in milliseconds.
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