The differential multipoint boundary value problem for 2D shape-preserving splines (Q2896287)
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scientific article; zbMATH DE number 6056080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The differential multipoint boundary value problem for 2D shape-preserving splines |
scientific article; zbMATH DE number 6056080 |
Statements
16 July 2012
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spline approximation
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monotonicity
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convexity
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shape-preserving splines
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fractional step method
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The differential multipoint boundary value problem for 2D shape-preserving splines (English)
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It is important to construct curves and surfaces which preserve properties of monotonicity and convexity of the data. Standard methods of spline functions do not retain these properties of the initial data. This problem is known as the problem of shape-preserving interpolation. The purpose of this paper is to develop an efficient method for solving this problem. An interpolating shape-preserving spline with two sets of parameters is a solution of the differential multipoint boundary value problem which is connected with the equation for a thin elastic plate. The efficiency of the proposed method is investigated by two examples of initial data.
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