This repositary contains the solution to the coding homework for APMA 2810 Discontinuous Galerkin Methods by Prof. Chi-Wang Shu. Below is a description of these homeworks(including 1 take-home exam). The written homework is not included here.
Use DG to find the solution to the following equation:
Use DG to find the solution to the following equation with two different initial conditions on ![$[0,2\pi]\times[0,2\pi]$](/Youtong-Rong/dg/blob/master/svgs/0f1880c6e7bbc3ac10285066ac8ba019.png)
:
Plot moment error tables of the problem last week.
Apply TVD limiter and TVB limiter with 
, 
, 
, 
to the problem in week 2. Plot error tables and report the points changed by the limiters.
Apply Bound Preserving Limiter to the problem in week 2. Plot error tables.
Use LDG with central flux and alternating flux to find the solution to the following equation on ![$[0,2\pi]\times[0,1]$](/Youtong-Rong/dg/blob/master/svgs/0bb8c0cc4fff220f3dc9ff3b13b2c985.png)
:
Use Bauman-Oden, SIPG and Ultra-Weak scheme to solve the problem last week and plot error tables.
Use LDG to find the solution to the following equation on :
Use Ultra-weak scheme to solve the problem last week and plot error tables.
Use LDG to find the solution to the following two equations on :
