Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
Date of Award
Doctor of Philosophy (Ph.D.)
Tong Sun (Advisor)
Andrew Layden (Committee Member)
Juan Bes (Committee Member)
So-Hsiang Chou (Committee Member)
The error analysis for the Runge-Kutta discontinuous Galerkin (RKDG) method for solving the scalar nonlinear conservation laws for the case of a smooth solution has been given in  and for the case of having a fully developed shock has given in . We use the Cubic Front Tracking and RKDG method to obtain the solution for the case between  and  where a shock is forming but not fully developed yet. The numerical smoothness approach used in  is generalized for the case between  and .
Bhusal, Raju Prasad, "Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws" (2018). Mathematics Ph.D. Dissertations. 16.