Numerical solution of generalized Abel integral equations by spline functions

R. Smarzewski; H. Malinowski

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Displaying similar documents to “Numerical solution of generalized Abel integral equations by spline functions”

A note on tension spline

Segeth, Karel

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Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the...

A structural theorem of the generalized spline functions.

Branga, Adrian (2009)

General Mathematics

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Some properties of the interpolating spline-functions space

R. Zejnullahu (1989)

Matematički Vesnik

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A particular smooth interpolation that generates splines

Segeth, Karel

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There are two grounds the spline theory stems from - the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called smooth interpolation introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known...

A best approximation property of the generalized spline functions.

Branga, Adrian (2008)

General Mathematics

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A fundamental property of $B$ -splines.

Branga, Adrian (1996)

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On the two dimensional spline interpolation of Hermite-type.

Puşcaş, Mihaela (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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On shape preserving spline interpolation: existence theorems and determination of optimal splines

J. W. Schmidt (1989)

Banach Center Publications

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On spline interpolation at all integer points of the real axis

Isaac J. Schoenberg (1967-1968)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

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Numerical solution of initial and singularly perturbed two-point boundary value problems using adaptive spline function approximation.

Stojanović, Mirjana (1988)

Publications de l'Institut Mathématique. Nouvelle Série

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On a numerical method to approximate the solutions to bicriteria problems using a spline function

Clímaco, João C.N., Patrício, F. (1980)

Portugaliae mathematica

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Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey

Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)

Open Mathematics

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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...

Numerical Solution of Initial and Singularly Perturbed Two-point Boundary Value Problems Using Adaptive Spline Function Approximation

Mirjana Stojanović (1988)

Publications de l'Institut Mathématique

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