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Geometric Splines and Interpolation on S2: Numerical Experiments
Proceedings of the 45th IEEE Conference on Decision and Control, 2006Several different procedures are presented to produce smooth interpolating curves on the two-sphere S2. The first class of methods is a combination of the pull back/push forward technique with unrolling data from S2 into a tangent plane, solving there the interpolation problem, and then wrapping the resulting interpolation curve back to the manifold ...
Knut Hüper +2 more
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Numerical factorization of a polynomial by rational Hermite interpolation
Numerical Algorithms, 1992The authors derive a class of iterative formulae to find numerically a factor of arbitrary degree of a polynomial \(f(x)\) based on rational Hermite interpolation. The iterative formula generates a sequence of polynomials which converges to a factor of \(f(x)\). Local and global convergence are studied. CPU-time and the number of iterations of Bairstow'
Tetsuya Sakurai +2 more
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Numerical function generators using bilinear interpolation
2008 International Conference on Field Programmable Logic and Applications, 2008Two-variable numerical functions are widely used in various applications, such as computer graphics and digital signal processing. Fast and compact hardware implementations are required. This paper introduces the bilinear interpolation method to produce fast and compact numerical function generators (NFGs) for two-variable functions.
Nagayama, Shinobu +2 more
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An Interpolating Polynomial Method for Numerical Conformal Mapping
SIAM Journal on Scientific Computing, 2001The author demonstrates the convergence of an algorithm for approximating a normalized conformal mapping \(f=f(z)\) of the unit disk onto a simply connected domain \(D\) with \(0\in D\). It was shown by \textit{R. Wegmann} [J. Comput. Appl. Math. 23, No.
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Interpolating numerical solutions of ordinary differential equations
Proceedings of the 1974 annual conference on - ACM 74, 1974Methods like the Runge-Kutta family for the solution of ordinary differential equations produce approximate solutions only at mesh points. The efficiency of such methods is greatly reduced if the user requests output too frequently. This paper justifies interpolating to resolve this difficulty.
M. K. Gordon, Lawrence F. Shampine
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On Multipoint Numerical Interpolation
ACM Transactions on Mathematical Software, 1978Nai-Kuan Tsao, Rose Marie Prior
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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, 1984AbstractA 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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Interpolation functions and numerical integration
1992Abstract 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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A Computer Numerical Controlled System with NURBS Interpolator
2009 WRI World Congress on Computer Science and Information Engineering, 2009Using the advantage of Non-Uniform Rational B-Spline(NURBS) curves to represent spatial curves, an instruction format with NURBS curves, which is suitability for 3-axis coordinated real-time interpolation, is presented against the current line and arc interpolation methods with drawbacks of low-speed, low-accuracy and great Computer Numerical Control ...
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A numerical scheme for advection dominated problems based on a Lagrange interpolation
Groundwater for Sustainable Development, 2021Hossein Ahmadi
exaly