Notebook for Running the Multi-dimensional ConservationLaws Program, ConservationLawsMD.m

Notebook created on June 13, 2010 in Mathematica 5.0.   The ConservationLawsMD.m package was tested with Mathematica versions 5, 6, and 7.

Set the directory to the location where the files for ConservationLawsMD.m are stored.  All data files must be in the same directory. 
Format:  SetDirectory["d:\\myPCDirectory\\subdirectory"]

SetDirectory["e:\\data\\demoConservationLawsMD"]

Load the program file into the notebook.

Get["ConservationLawsMD.m"]

ConservationLawsMD[] computes local conservation laws for polynomial partial differential equations (PDEs).  A PDE can be chosen from the menu when the program starts, or can be entered via a separate data file.

ConservationLawsMD[options] allows the user to view intermediate calculations by setting Verbose -> All or Verbose -> Minimal

"Verbose" controls the amount of output the user will see as the program runs.

?Verbose

Start the program.  The program may prompt the user for instructions as it runs.  To avoid entering the instructions during execution, all options can be preset in the data file for the PDE.  The data file names are listed next to each PDE in the menu. To run your own data file, select the option tt in the menu.

ConservationLawsMD[Verbose -> All]

The comands conservationlaws and independentconservationlaws give the user access to computations in Mathematica syntax.

conservationlaws gives a complete listing in Mathematica notation of densities and their associated fluxes as determined by the program.

conservationlaws

independentconservationlaws gives a listing in Mathematica notation of densities and their associated fluxes where all densities are independent.

independentconservationlaws