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Approach of functions of two variables by 2D cubic interpolational splines on triangulational grid of knots

Results of theoretical and numerical research of advantages of the constructed obvious formulas for interpolational cubic splines of two variables on triangulational grid of knots, offered earlier in works by M.Zlamala and A.Zhenisheka, are stated. These obvious formulas do not demand the decision o...

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Bibliographic Details
Main Authors: Литвин, О. М., Литвин, О. О., Лобанова, Л. С., Денисова, О. І.
Format: Article
Language:Ukrainian
Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2012
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Online Access:https://journals.uran.ua/jme/article/view/52863
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Summary:Results of theoretical and numerical research of advantages of the constructed obvious formulas for interpolational cubic splines of two variables on triangulational grid of knots, offered earlier in works by M.Zlamala and A.Zhenisheka, are stated. These obvious formulas do not demand the decision of system of the linear algebraic equations for each triangle of a triangulation separately, that, according to authors of given article, will promote expansion of their applications in various sections of calculus mathematics.