Univariate spline quasi-interpolants and applications to numerical analysis.
Sablonniére, P. (2005)
Rendiconti del Seminario Matematico
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Displaying similar documents to “An axisymmetric PIC code based on isogeometric analysis⋆”
Univariate spline quasi-interpolants and applications to numerical analysis.
Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis
Yuriy Volkov (2012)
Open Mathematics
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We study the problem of interpolation by a complete spline of 2n − 1 degree given in B-spline representation. Explicit formulas for the first nand the last ncoefficients of B-spline decomposition are found. It is shown that other B-spline coefficients can be computed as a solution of a banded system of an equitype linear equations.
A fundamental property of -splines.
Branga, Adrian (1996)
General Mathematics
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Basis of quartic splines over triangulation.
Pílnikova, Jana, Chalmovianský, Pavel (1999)
Journal for Geometry and Graphics
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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...
Some properties of the interpolating spline-functions space
R. Zejnullahu (1989)
Matematički Vesnik
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Smooth, Easy to Compute Interpolating Splines.
J.D. Hobby (1986)
Discrete & computational geometry
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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...
Fundamental quadratic splines and applications
Jiří Kobza, Radek Kučera (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Gibbs-Markov-Young structures, ,
Carla L. Dias (2012)
ESAIM: Proceedings
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We discuss the geometric structures defined by Young in [9, 10], which are used to prove the existence of an ergodic absolutely continuous invariant probability measure and to study the decay of correlations in expanding or hyperbolic systems on large parts.
Fluid flow modeling in complex areas,
Jean–Marc Mounsamy, Jacques Laminie, Pascal Poullet (2012)
ESAIM: Proceedings
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We show first results of 3D simulation of sea currents in a realistic context. We use the full Navier–Stokes equations for incompressible viscous fluid. The problem is solved using a second order incremental projection method associated with the finite volume of the staggered (MAC) scheme for the spatial discretization. After validation on classical cases, it is used in a numerical simulation of the Pointe à Pitre harbour area. The use of the fictious domain method permits us to take...