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Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws

Bhusal, Raju Prasad

Abstract Details

2018, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics.
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 [23] and for the case of having a fully developed shock has given in [22]. We use the Cubic Front Tracking and RKDG method to obtain the solution for the case between [23] and [22] where a shock is forming but not fully developed yet. The numerical smoothness approach used in [23] is generalized for the case between [23] and [22].
Tong Sun, Ph.D. (Advisor)
Andrew Layden, Ph.D. (Committee Member)
Juan Bes, Ph.D. (Committee Member)
So-Hsiang Chou, Ph.D. (Committee Member)
91 p.

Recommended Citations

Citations

  • Bhusal, R. P. (2018). Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws [Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062

    APA Style (7th edition)

  • Bhusal, Raju. Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws. 2018. Bowling Green State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062.

    MLA Style (8th edition)

  • Bhusal, Raju. "Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws." Doctoral dissertation, Bowling Green State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062

    Chicago Manual of Style (17th edition)