Results 51 to 60 of about 1,315 (192)
Abstract and Applied Analysis, 2012 Combining with the Crank-Nicolson/leapfrog scheme in time discretization, Chebyshev-Legendre spectral method is applied to space discretization for numerically solving the Benjamin-Bona-Mahony-Burgers (gBBM-B) equations. The proposed approach is based on
Tinggang Zhao +5 more
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Results in Applied Mathematics, 2023 In the present work the application of the spectral method with Chebyshev polynomials of the second kind is considered for solving a boundary value problem of an ordinary differential equation with a small parameter at the highest derivative.
Chori Begaliyevich Normurodov +1 more
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Development of Kinematic Ephemeris Generator for Korea Pathfinder Lunar Orbiter (KPLO)
Journal of Astronomy and Space Sciences, 2020 This paper presents a kinematic ephemeris generator for Korea Pathfinder Lunar Orbiter (KPLO) and its performance test results. The kinematic ephemeris generator consists of a ground ephemeris compressor and an onboard ephemeris calculator.
Min-Sup Song +3 more
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Approximation of ECG Signals Using Chebyshev Nodes and Lagrange-interpolation
American Journal of Biomedical Sciences, 2019 Om Prakash Yadav, Shashwati Ray
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Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids
Discrete Dynamics in Nature and Society, 2011 We consider the rate of mean convergence of derivatives by Lagrange interpolation operators based on the Chebyshev nodes. Some estimates of error of the derivatives approximation in terms of the error of best approximation by polynomials are derived. Our
Wang Xiulian, Ning Jingrui
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Path Planning for Mobile Robots Based on JPS and Improved A* Algorithm
Jisuanji kexue yu tansuo, 2021 In order to solve the problems of A* algorithm in raster map path planning, such as large memory consump-tion and slow computing speed due to the traversal of many redundant nodes, an improved strategy for A* algorithm is proposed.
ZHANG Qing, LIU Xu, PENG Li, ZHU Fengzeng
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An improved method for inhomogeneous space grid in the simulation of unsaturated flow
Shuiwen dizhi gongcheng dizhi, 2023 The Richards’ equation is widely used in the simulation of unsaturated flow and related fields. In the numerical solution process, the finite difference method can be used to carry out numerical discretization and iterative calculation. However, in order
Shuairun ZHU +4 more
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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Axioms, 2023 In this paper we formulate necessary conditions for the stability of certain quadrature methods for Mellin type singular integral equations on an interval.
Peter Junghanns, Robert Kaiser
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Bounds for the number of nodes in Chebyshev type quadrature formulas
Journal of Approximation Theory, 1991 The authors determine an upper bound for the minimum number of nodes of Chebyshev type quadrature formulas on a finite interval needed in order to achieve a certain degree of precision, using a topological method. The corresponding problem on the \(d\)-dimensional sphere is studied also.
Patrick Rabau, Bela Bajnok
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