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. A quadratic spline collocation method approximates the solution of a differential problem by a quadratic spline. In the standard formulation, the quadratic spline is computed by making the residual of the differen...

Multivariate piecewise polynomial functions (or splines) on polyhedral complexes have been extensively studied over the past decades and find applications in diverse areas of applied mathematics including numerical analysis, approximation theory, computer aided geometric design. In this paper we address various challenges arising study splines with enhanced mixed (super-)smoothness conditions a...

This research deals with the use of a number statistical methods, such as kernel method, watershed, histogram, and cubic spline, to improve contrast digital images. The results obtained according RSME NCC standards have proven that spline method is most accurate in compared other methods.