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Interpolation Algorithm on Numerical Control Technology

Key Engineering Materials, 2011
High speed machining (HSM) features in high efficiency, high precision, high flexibility and high quality. The key techniques on HSM such as linear interpolation, circular interpolation, cubic B-spline curve interpolation, non-uniform rational B-spline (NURBS) curve interpolation and their respective characteristics are paid more attention and ...
Zhen Yu Zhao   +3 more
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Numerical Curve Length Calculation Using Polynomial Interpolation

Journal of Mathematical Imaging and Vision, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Interpolator for a Computer Numerical Control System

IEEE Transactions on Computers, 1976
A software interpolator which is comprised of linear and circular interpolations is compared with its hardware counterpart and with other circular interpolation methods. The software interpolator and the feed-rate control are contained in the numerical control (NC) program of a computer numerical control (CNC) system and enable a contouring control of ...
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Numerically optimal Runge–Kutta pairs with interpolants

Numerical Algorithms, 2009
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Interpolation functions and numerical integration

1992
Abstract In this chapter interpolation functions for two and three dimensions are discussed. First Cartesian displacement functions are considered and examples of these are used to demonstrate some of the constraints which should be considered in choosing interpolations for a finite element formulation.
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Cubic Interpolation for Numerical Flood Routing

Journal of the Hydraulics Division, 1972
The accessibility of digital computers to the water resources engineer has boosted the popularity of numerical flood routing techniques. Common to each of the numerical solutions is the need to interpolate between known values of two variable functions. Writers present herein a cubic interpolation technique.
Paul E. Barker, Thomas P. Propson
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Interpolating numerical radius inequalities for matrices

Advances in Operator Theory
The main focus of this paper is on proving several new generalized numerical radius inequalities for matrices induced by the unitarily invariant norm, which is defined as \[ w_{\|\cdot\|}(A) = \max_{\theta\in\mathbb{R}} \|\operatorname{Re}(e^{i\theta}A)\|.
Ahmad Al-Natoor   +2 more
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Interpolation methods for numerical analytic continuation

1982
Given a function f by its power series $$\text{f}(\text{z}) = \sum\limits_{\text{j} = 0}^\infty {\text{u}_\text{j} \text{z}^\text{j} \text{,}}$$ (1.1) convergent for \(\text{z} \in \text{D}_\text{R} : = \left\{ {\text{z} \in \text{x}||\text{z}| < \text{R}} \right\}\)with O < R < ∞. Let f be holomorphic in some domain G ⊃ DR.
Michael Eiermann, Wilhelm Niethammer
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On Multipoint Numerical Interpolation

ACM Transactions on Mathematical Software, 1978
Tsao, Nai-Kuan, Prior, Rose Marie
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Numerical Maximization of Derivatives by Successive Polynomial Interpolation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1984
AbstractA general class of numerical methods for maximizing derivatives of a real function in one variable is presented. These methods (the so‐called SPI methods) are based on successive polynomial interpolation. Our class includes known methods of Tamir and of Brent.
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