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...

In this paper the capacity of different interpolation techniques aimed at wow defect reduction is examined. Involved are: linear interpolation, two polynomial based interpolation methods (Hermite and spline) and the windowed sinc-based method. The performance of a synthetic audio signal restored using incommensurate resampling for wow cancellation is evaluated on the basis of standard audio def...

The problem of article is cubic spline-interpolation of functions having high gradient regions. It is shown that uniform grids are inefficient to be used. In case of piecewise-uniform grids, concentrated in the boundary layer, for cubic spline interpolation are announced asymptotically exact estimates on a class of functions with an exponential boundary layer. There are obtained results showing...

PURPOSE Time series analysis may be helpful to estimate hematological data on gastric cancer patients who receive S 1, but untreated raw clinical data are not suitable for this approach. Hematological monitoring data interpolated by spline were analyzed by an attractor plot, which is a form of time series analysis. METHODS Hematological data of three gastric cancer patients were interpolated ...