Results 31 to 40 of about 183 (122)
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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Rectangular Vandermonde matrices on Chebyshev nodes
Linear Algebra and its Applications, 2001 A rectangular Vandermonde matrix \(V=\{V_{ij}\}= \{x_i^{j-1}\}\) \((i=1,\dots, n;\;j=1,\dots, m;\;n\leq m)\) defined on the so-called Chebyshev nodes (the roots of Chebyshev polynomials of the first order) is studied, by making use of combinatorial identities from number theory [cf. \textit{A. Eisinberg}, \textit{P. Pugliese}, and \textit{N.
Eisinberg, A., Franzé, G., Salerno, N.
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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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Advanced Science, EarlyView.The crystalline structure, the atomic numbers of the constituent elementsand the size of MOF crystals each influence their photoluminescence and scintillation properties in distinct ways. Together, these factors provide valuable guidelines for designing systems with optimized performance and tunable timing characteristics, arising from the synergistic ...
Francesca Cova +8 more
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Vandermonde matrices with Chebyshev nodes
Linear Algebra and its Applications, 2008 The paper is concerned with a study of Vandermonde matrices and so called rectangular Vandermonde matrices, whose elements (nodes) are the translated Chebyshev zero nodes, respectively, the translated Chebyshev extreme nodes (the translated zeros, respectively the translated extreme points of the Chebyshev polynomial of the first kind).
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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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Conditional Randomization Tests for the Specification of Interference Structure
Journal of Applied Econometrics, EarlyView.ABSTRACT This study proposes specification tests for interference structure in causal inference with spillovers. We focus on experimental settings in which the treatment assignment mechanism is known. To test whether a given exposure mapping adequately summarizes the true interference structure, we develop conditional randomization tests by utilizing ...
Tadao Hoshino, Takahide Yanagi
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Matrix-based Chebyshev collocation technique for nonlinear system of differential Riccati equations
Alexandria Engineering JournalThis paper presents a novel and efficient spectral collocation method for solving systems of differential Riccati equations (SDREs) with variable coefficients.
Ibtisam Aldawish +4 more
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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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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this paper, an integrated digital twin‐based fault‐diagnosis framework is proposed to detect bolt loosening in flanged pipe connections. The approach combines finite element‐based numerical modeling, experimental modal analysis, and advanced signal processing‐assisted deep learning to achieve reliable loosening detection under operational ...
Milad Shabani Yousefabad +4 more
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