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Relevant bibliographies by topics / Parabolic interpolation algorithm

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Journal articles

Academic literature on the topic 'Parabolic interpolation algorithm'

Author: Grafiati

Published: 28 May 2022

Last updated: 29 May 2022

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Journal articles on the topic "Parabolic interpolation algorithm"

1

Zhang, Zhi Qiang, Wen Jin Wang, Jing Zhang, et al. "The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm." Advanced Materials Research 1003 (July 2014): 260–63. http://dx.doi.org/10.4028/www.scientific.net/amr.1003.260.

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The NURBS curve interpolation algorithm based on parabolic interpolation error and the first-order Taylor expansion interpolation algorithm is proposed to improve part surface quality and chord error of NURBS curve interpolation algorithm. The part surface quality is improved effectively by the parabolic interpolation algorithm in the conduction that the previous point, the current point and the next point which was computed by the first order Taylor expansion interpolation algorithm were known. The effectiveness of this algorithm is proved by the NURBS curve interpolation simulation.

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2

Wei, Can Xin. "Numerical Analysis and Performance Test of Interactive Platform Based on Multi-Media Internet Architecture." Applied Mechanics and Materials 556-562 (May 2014): 5705–9. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.5705.

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Streaming media technology is also known as streaming media technology. Users can experience playing while downloading function, which improves the transmission speed of multimedia information on the internet. In this paper, we use streaming media technology, combined with the parabolic interpolation and Newton interpolation algorithm, design multimedia interactive platform of the college students' ideological and political education and comprehensive education. The overall structure of the platform is composed of multimedia, streaming media distribution equipment, school network, clients of t

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3

Xiao, Ben Xian, Yun Chao Tao, Xue Ping Dong, Mei Ling Zhao, and Jun Xiao. "Study on Interpolation Arithmetic of Tube Bender with Four-Axis CNC System for Spiral Fluorescent Lamp." Applied Mechanics and Materials 48-49 (February 2011): 1172–76. http://dx.doi.org/10.4028/www.scientific.net/amm.48-49.1172.

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Taking tube bender system for producing pagoda-shaped fluorescent tubes as an example in this paper, four coordinates movement equations of CNC system with Parabolic characteristic are derived and an algorithm for nonlinear interpolation of four-axis linkage based on target point tracking algorithm is presented for the spiral fluorescent tube bending machine with CNC system by means of deep analysis of the pulse interval interpolation algorithm. By using this algorithm, coordinated control of four coordinates in tube bender system can be realized and, in addition, software programming procedur

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4

Lu, Zuliang, Fei Cai, Ruixiang Xu, Chunjuan Hou, Xiankui Wu, and Yin Yang. "A posteriori error estimates of hp spectral element method for parabolic optimal control problems." AIMS Mathematics 7, no. 4 (2022): 5220–40. http://dx.doi.org/10.3934/math.2022291.

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<abstract><p>In this paper, we investigate the spectral element approximation for the optimal control problem of parabolic equation, and present a hp spectral element approximation scheme for the parabolic optimal control problem. For improve the accuracy of the algorithm and construct an adaptive finite element approximation. Under the Scott-Zhang type quasi-interpolation operator, a $ L^2(H^1)-L^2(L^2) $ posteriori error estimates of the hp spectral element approximated solutions for both the state variables and the control variable are obtained. Adopting two auxiliary equations

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5

Shen, Ting Ting, Lei Zhu, Lin Kong, Lan Qiang Zhang, and Chang Hui Rao. "Real-Time Image Shift Detection with Cross Correlation Coefficient Algorithm for Correlating Shack-Hartmann Wavefront Sensors Based on FPGA and DSP." Applied Mechanics and Materials 742 (March 2015): 303–11. http://dx.doi.org/10.4028/www.scientific.net/amm.742.303.

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Working on low-contrast, extended, time-varying objects such as the solar granulation, solar adaptive optics (AO) system uses correlation algorithms to detect image shift of the Shack-Hartmann (SH) wavefront sensor (WFS) instead of centroid algorithm in night-time adaptive optics system. An real-time image shift detection processor, which consists of a Xilinx FPGA and a TI DSP, has been developed for a low-order solar AO system based on cross correlation coefficient algorithm. Image shift of integer pixels can be calculated in the FPGA and DSP is responsible for parabolic interpolation to obta

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6

Kumar, Pravesh, Sushil Kumar, Millie Pant, and V. P. Singh. "Interpolation Based Mutation Variants of Differential Evolution." International Journal of Applied Evolutionary Computation 3, no. 4 (2012): 34–50. http://dx.doi.org/10.4018/jaec.2012100103.

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Differential evolution algorithm (DE) is an efficient and versatile population-based search technique for global optimization. In this paper, two novel mutation variants for DE are presented. These mutation variants are based on interpolation rules; first variant is based on Inverse Quadratic Interpolation called IQI-DE and the second variant is based on sequential parabolic interpolation called SPI-DE. Both variants aim at efficiently generating the base vector in the mutation phase of DE. The performance of proposed variants is implemented on 12 benchmark problems and compares with basic DE

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7

Chen, Chuanmiao, Xiangqi Wang, and Hongling Hu. "A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients." Advances in Applied Mathematics and Mechanics 9, no. 2 (2017): 501–14. http://dx.doi.org/10.4208/aamm.2015.m1281.

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AbstractA high-efficient algorithm to solve Crank-Nicolson scheme for variable coefficient parabolic problems is studied in this paper, which consists of the Function Time-Extrapolation Algorithm (FTEA) and Matrix Time-Extrapolation Algorithm (MTEA). First, FTEA takes a linear combination of previous l level solutions as good initial value of Un(see Time-extrapolation algorithm (TEA) for linear parabolic problems, J. Comput. Math., 32(2) (2014), pp. 183–194), so that Conjugate Gradient (CG)-iteration counts decrease to 1/3~1/4 of direct CG. Second, MTEA uses a linear combination of exact matri

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8

Nguyen, Thanh-Tuan, Ching-Hwa Cheng, Don-Gey Liu, and Minh-Hai Le. "A Fast Cross-Correlation Combined with Interpolation Algorithms for the LiDAR Working in the High Background Noise." Electronics 11, no. 7 (2022): 985. http://dx.doi.org/10.3390/electronics11070985.

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Processing speed and accuracy of measurements are important factors reflecting the performance quality of light detection and ranging (LiDAR) systems. This study proposed a fast cross-correlation (fCC) algorithm to improve the computation loading in the LiDAR system operating in high background noise environments. To reduce the calculation time, we accumulated cycles of the receiver waveform to increase the signal-to-noise ratio. In this way, the stop pulse can be easily distinguished from the background noise by applying the cross-correlation (CC) on the accumulated receiver waveform with the

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9

Ding, Zhangliang, Jianrong Zhu, Bingrui Chen, and Daoyang Bao. "A Two-Way Nesting Unstructured Quadrilateral Grid, Finite-Differencing, Estuarine and Coastal Ocean Model with High-Order Interpolation Schemes." Journal of Marine Science and Engineering 9, no. 3 (2021): 335. http://dx.doi.org/10.3390/jmse9030335.

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The balance between the need of improving horizontal resolution in simulating local small-scale ocean processes and computational costs makes it desirable to refine model mesh locally. A three-dimensional, two-way nesting unstructured quadrilateral grid, primitive equations, finite-differencing, estuarine and coastal ocean model is developed for multi-scale modeling. Because the model grid is capable of multi-area nesting and multi-level refinement at each subdomain, the model is highly compatible with simulations involved in complex topography and studies of local small-scale ocean processes.

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10

Ghasemi, M. "An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 1 (2018): 37–51. http://dx.doi.org/10.1515/ijnsns-2017-0060.

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AbstractTwo numerical procedures are developed to approximate the solution of one-dimensional parabolic equations using extrapolated collocation method. By defining two different end conditions and forcing cubic spline to satisfy the interpolation conditions along with one of the end conditions, we obtain fourth- (CBS4) and sixth-order (CBS6) approximations to the solution in spatial direction. Also in time direction, a weighted finite-difference discretization is used to approximate the solution at each time level. The convergence analysis of the methods is discussed in detail and some error

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