On the parabolic spline-interpolation of functions with a boundary layer

Procedia Engineering ◽

10.1016/j.proeng.2017.09.636 ◽

2017 ◽

Vol 201 ◽

pp. 584-592

Author(s):

I.A. Blatov ◽

E.V. Kitaeva

Keyword(s):

Boundary Layer ◽

Spline Interpolation ◽

Parabolic Spline ◽

Interpolation Of Functions

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Parabolic spline interpolation for functions with large gradient in the boundary layer

Siberian Mathematical Journal ◽

10.1134/s0037446617040036 ◽

2017 ◽

Vol 58 (4) ◽

pp. 578-590 ◽

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layer ◽

Spline Interpolation ◽

Parabolic Spline ◽

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On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer

Numerical Analysis and Applications ◽

10.1134/s1995423917020021 ◽

2017 ◽

Vol 10 (2) ◽

pp. 108-119 ◽

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layer ◽

Uniform Convergence ◽

Spline Interpolation ◽

Parabolic Spline ◽

Class Of Functions

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About the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20170202 ◽

2017 ◽

Keyword(s):

Boundary Layer ◽

Uniform Convergence ◽

Spline Interpolation ◽

Parabolic Spline ◽

Class Of Functions

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Parabolic Spline Interpolation

Applied Mathematical Sciences - A Practical Guide to Splines ◽

10.1007/978-1-4612-6333-3_6 ◽

2001 ◽

pp. 59-67

Author(s):

Carl de Boor

Keyword(s):

Spline Interpolation ◽

Parabolic Spline

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Spline interpolation on a uniform grid for functions with a boundary-layer component

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510020028 ◽

2010 ◽

Vol 50 (2) ◽

pp. 211-223 ◽

Author(s):

A. I. Zadorin ◽

N. A. Zadorin

Keyword(s):

Boundary Layer ◽

Spline Interpolation ◽

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Generalized Spline Interpolation of Functions with Large Gradients in Boundary Layers

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520030057 ◽

2020 ◽

Vol 60 (3) ◽

pp. 411-426

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layers ◽

Spline Interpolation ◽

Interpolation Of Functions

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Cubic spline interpolation of functions with high gradients in boundary layers

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517010043 ◽

2017 ◽

Vol 57 (1) ◽

pp. 7-25 ◽

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layers ◽

Spline Interpolation ◽

Cubic Spline ◽

Cubic Spline Interpolation ◽

Interpolation Of Functions ◽

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Periodic Spline Interpolation of Functions of Bounded Variation

Curves and Surfaces ◽

10.1016/b978-0-12-438660-0.50060-1 ◽

1991 ◽

pp. 383-386

Author(s):

J. Prestin

Keyword(s):

Bounded Variation ◽

Spline Interpolation ◽

Functions Of Bounded Variation ◽

Periodic Spline ◽

Interpolation Of Functions

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Approximation of a Function and Its Derivatives on the Basis of Cubic Spline Interpolation in the Presence of a Boundary Layer

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519030047 ◽

2019 ◽

Vol 59 (3) ◽

pp. 343-354 ◽

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layer ◽

Spline Interpolation ◽

Cubic Spline ◽

Cubic Spline Interpolation ◽

Approximation Of A Function

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On the Parameter-Uniform Convergence of Exponential Spline Interpolation in the Presence of a Boundary Layer

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518030028 ◽

2018 ◽

Vol 58 (3) ◽

pp. 348-363 ◽

Author(s):

I. A. Blatov ◽

A. I. Zadorin ◽

E. V. Kitaeva

Keyword(s):

Boundary Layer ◽

Uniform Convergence ◽

Spline Interpolation ◽

Exponential Spline

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