Layton, Anita T.; Christara, Christina C.; Jackson, … - In: Mathematics and Computers in Simulation (MATCOM) 71 (2006) 3, pp. 187-205
In this study, we present numerical methods, based on the optimal quadratic spline collocation (OQSC) methods, for solving the shallow water equations (SWEs) in spherical coordinates. The error associated with quadratic spline interpolation is fourth order locally at certain points and third...