Piecewise <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>L</mml:mi></mml:math>-splines of order 4: Interpolation and <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> error bounds for splines in tension-Reference-Cited by-同舟云学术

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Piecewise L-splines of order 4: Interpolation and L2 error bounds for splines in tension

Published:2009-12 Issue:2 Volume:161 Page:421-431
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Ayalon Ziv,Dyn Nira,Levin David

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference9 articles.

1. Ordinary Differential Equations;Ince,1956

2. Computation of exponential splines;McCartin;SIAM J. Sci. Statist. Comput.,1990

3. Theory of exponential splines;McCartin;J. Approx. Theory,1991

4. Piecewise L-Splines;Prenter;Numer. Math.,1971

5. Properties of splines in tension;Pruess;J. Approx. Theory,1976

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1. Fast algorithms for interpolation with L-splines for differential operators L of order 4 with constant coefficients;Journal of Computational and Applied Mathematics;2023-04

2. Error estimates for interpolation with piecewise exponential splines of order two and four;Journal of Computational and Applied Mathematics;2021-08

3. L∞-error Bounds for Interpolation with Piecewise Exponential Splines of Order Two and Four;CR ACAD BULG SCI;2020-12-20

4. On a class of L-splines of order 4: fast algorithms for interpolation and smoothing;BIT Numerical Mathematics;2020-02-18

5. Speed limit quasi splines and their application to interpolation with bounded first order derivative;Numerical Linear Algebra with Applications;2014-11-09

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