Paper Scripts
=============

These scripts requite SSP_Tools. The most updated version of SSP_Tools
can be downloaded at the project's `github <https://github.com/DanielHiggs/SSP_Tools>`_.

MSRK Paper
----------

The following scripts were used to generate paper for the MSRK paper. They were
run using the version of SSP_Tools that can be downloaded `here </paper_scripts/archived_ssptools/SSP_Tools-MSRK.zip>`_


Example 1: van der Pol Convergence Study
++++++++++++++++++++++++++++++++++++++++

`MATLAB Script </paper_scripts/msrk_vdp_convergence.m>`_

`Script Output </paper_scripts/msrk_vdp_convergence_results.txt>`_

Example 2: Linear Advection with Spectral Method Convergence Study
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Script </paper_scripts/msrk_linadvect_convergence.m>`_

`Script Output </paper_scripts/msrk_linadvect_convergence_results.txt>`_


Example 3: Positivity and TVD For Linear Advection With First Order Finite Difference
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Script </paper_scripts/msrk_linadvect_tvdpos.m>`_

`Script Output </paper_scripts/msrk_linadvect_tvdpos_results.txt>`_

Example 4: Positivity and TVD for Buckley-Leverett With Centered Difference And Koren Limiter
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Script </paper_scripts/msrk_bucklev_tvdpos.m>`_

`Script Output </paper_scripts/msrk_bucklev_tvdpos_results.txt>`_

LNL Paper
---------

Example 1: van der Pol Convergence Study
++++++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_1.tar.tgz>`_

Script Output

Example 2: Linear Advection with Spectral Method Convergence Study
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_2.tar.tgz>`_

Script Output

Example 3: Linear advection with WENO 
+++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_2.tar.tgz>`_

Script Output

Example 4: Pointwise Convergence for Burgers Equation Pre- and Post-Shock With WENO15
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_4.tar.gz>`_

Script Output

Example 5: Positivity and TVD For Linear Advection With First Order Finite Difference
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_5.tar.tgz>`_

Script Output

Example 6: Positivity and TVD for Buckley-Leverett With Centered Difference And Koren Limiter
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

`MATLAB Scripts </paper_scripts/LNL_Paper/lnl_example_6.tar.tgz>`_

Script Output