Results 251 to 260 of about 93,759 (275)
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Approximation by Minimal Splines
Journal of Mathematical Sciences, 2013The author gives an abstract result about the rest of Lagrange type interpolation splines. This result applies to a different method used by the author in previous results on the same subject method.
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Monotone Approximation by Splines
SIAM Journal on Mathematical Analysis, 1977We prove Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots. Our results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
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2010
In this chapter we want to give a taste to the reader of the wide area of approximation theory. This is a very large subject, ranging from analytical to even engineering-oriented topics. We merely point out a few facts more closely related to our main treatment. We refer to [70] for a review of these topics.
Corrado De Concini, Claudio Procesi
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In this chapter we want to give a taste to the reader of the wide area of approximation theory. This is a very large subject, ranging from analytical to even engineering-oriented topics. We merely point out a few facts more closely related to our main treatment. We refer to [70] for a review of these topics.
Corrado De Concini, Claudio Procesi
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On Approximation by Hyperbolic Splines
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulikov, E. K., Makarov, A. A.
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B-Spline Approximation for Polynomial Splines
2018This chapter has discussed specialised computing structure for running B-spline approximation. The spline functions and generalised spectral methods are widely used for the analysis and recovery of signals. The broken spline function is the simplest and historical example of splines. Spline functions are a developing field of the function approximation
Dhananjay Singh +2 more
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Multivariate Spline Approximation
1993Abstract : We started out with the goal of understanding approximation order in a multivariate context, including the approximation of surfaces. In addition, we wanted to understand better the use and analysis of our approach to multivariate polynomial interpolation.
Amos Ron, Carl R. De Boor
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Hierarchical Spline Approximations
2003We discuss spline refinement methods that approximate multi-valued data defined over one, two, and three dimensions. The input to our method is a coarse decomposition of the compact domain of the function to be approximated consisting of intervals (univariate case), triangles (bivariate case), and tetrahedra (trivariate case).
David F. Wiley +6 more
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Interactive spline approximation
2010The use of spline basis functions in solving least squares approximation problems is investigated. The question as to which are appropriate basis functions to use is discussed along with the reasons why the final choice was made. The Householder transformation method for solving the fixed knot spline approximation problem is examined.
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Computational Mathematics and Mathematical Physics, 2007
A system of relations is presented for determining optimal coefficients for a set consisting of an arbitrary number of smoothly matched cubic polynomial dependences. As an example, the method is used to construct optimal approximating formulas for the viscosity of air in thermochemical equilibrium as a function of enthalpy.
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A system of relations is presented for determining optimal coefficients for a set consisting of an arbitrary number of smoothly matched cubic polynomial dependences. As an example, the method is used to construct optimal approximating formulas for the viscosity of air in thermochemical equilibrium as a function of enthalpy.
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2002
In this chapter we consider such approximation methods where the unknown function is approximated by means of spline functions. The use of splines as approximating functions is quite popular in applications, they appear e.g. in the Finite Element solution of differential equations. Spline approximation methods do not require a uniform mesh. However, in
Jukka Saranen, Gennadi Vainikko
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In this chapter we consider such approximation methods where the unknown function is approximated by means of spline functions. The use of splines as approximating functions is quite popular in applications, they appear e.g. in the Finite Element solution of differential equations. Spline approximation methods do not require a uniform mesh. However, in
Jukka Saranen, Gennadi Vainikko
openaire +1 more source