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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 53
  3. Computational Mathematics and Mathematical Physics : Volume 53, Issue 10, October 2013
  4. Monotone and convex interpolation by weighted cubic splines
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 53, Issue 12, December 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 11, November 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 10, October 2013
A family of operators with discontinuous ranges and approximation and restoration of continuous functions
Monotone and convex interpolation by weighted cubic splines
Some new estimates of the Fourier-Bessel transform in the space $$\mathbb{L}_2 \left( {\mathbb{R}_ + } \right)$$
Numerical-analytical method for conformal mapping of polygons with six right angles
Efficient algorithms for orthogonal packing problems
On one class of dynamic transportation models
Method for finding an approximate solution of the asphericity problem for a convex body
Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle
Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths
Nonreflecting distortions of an isotropic strip clamped between rigid punches
Numerical simulation of seismic activity by the grid-characteristic method
Application of moment equations to the mathematical simulation of gas microflows
Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers
The use of high-order composite compact schemes for computing supersonic jet interaction with a surface
Non-isothermal flow through a rotating straight duct with wide range of rotational and pressure driven parameters
Computational Mathematics and Mathematical Physics : Volume 53, Issue 9, September 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 8, August 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 7, July 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 6, June 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 5, May 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 4, April 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 3, March 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 2, February 2013
Computational Mathematics and Mathematical Physics : Volume 53, Issue 1, January 2013
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Monotone and convex interpolation by weighted cubic splines

Content Provider Springer Nature Link
Author Kvasov, B. I.
Copyright Year 2013
Abstract Algorithms for interpolating by weighted cubic splines are constructed with the aim of preserving the monotonicity and convexity of the original discrete data. The analysis performed in this paper makes it possible to develop two algorithms with the automatic choice of the shape-controlling parameters (weights). One of them preserves the monotonicity of the data, while the other preserves the convexity. Certain numerical results are presented.
Starting Page 1428
Ending Page 1439
Page Count 12
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 53
Issue Number 10
e-ISSN 15556662
Language English
Publisher Springer US
Publisher Date 2013-10-22
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword monotone and convex interpolation weighted cubic splines adaptive choice of the shape-controlling parameters Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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