Mungkasi, SudiLi, ZhenquanRoberts, Stephen2015-12-130893-9659http://hdl.handle.net/1885/77402The system of shallow water equations admits infinitely many conservation laws. This paper investigates weak local residuals as smoothness indicators of numerical solutions to the shallow water equations. To get a weak formulation, a test function and intWeak local residuals as smoothness indicators for the shallow water equations201410.1016/j.aml.2013.12.0072015-12-11