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

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

Bibliographic Details
Main Author: Bhusal, Raju Prasad
Language:English
Published: Bowling Green State University / OhioLINK 2018
Subjects:
Mathematics
Applied Mathematics
Conservation Laws
Cubic Front Tracking
Shock Formation
Transition Time
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu15210526455680622021-08-03T07:05:31Z Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws Bhusal, Raju Prasad Mathematics Applied Mathematics Conservation Laws Cubic Front Tracking Shock Formation Transition Time The error analysis for the Runge-Kutta discontinuous Galerkin (RKDG) method for solving thescalar nonlinear conservation laws for the case of a smooth solution has been given in [23] and forthe case of having a fully developed shock has given in [22]. We use the Cubic Front Tracking andRKDG method to obtain the solution for the case between [23] and [22] where a shock is formingbut not fully developed yet. The numerical smoothness approach used in [23] is generalized forthe case between [23] and [22]. 2018-04-17 English text Bowling Green State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062 http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Applied Mathematics
Conservation Laws
Cubic Front Tracking
Shock Formation
Transition Time
spellingShingle Mathematics
Applied Mathematics
Conservation Laws
Cubic Front Tracking
Shock Formation
Transition Time
Bhusal, Raju Prasad
Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
author Bhusal, Raju Prasad
author_facet Bhusal, Raju Prasad
author_sort Bhusal, Raju Prasad
title Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
title_short Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
title_full Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
title_fullStr Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
title_full_unstemmed Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws
title_sort error analysis of the cubic front tracking and rkdg method for one dimensional conservation laws
publisher Bowling Green State University / OhioLINK
publishDate 2018
url http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1521052645568062
work_keys_str_mv AT bhusalrajuprasad erroranalysisofthecubicfronttrackingandrkdgmethodforonedimensionalconservationlaws
_version_ 1719453400457805824

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