Results 51 to 60 of about 16,329 (217)
Chebyshev Polynomial Approximation for Distributed Signal Processing [PDF]
, 2011 Unions of graph Fourier multipliers are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators to the high-dimensional signals collected by ...
Frossard, Pascal +2 more
core +3 more sources
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
doaj +1 more source
Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
core +2 more sources
A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]
Journal of Hyperstructures, 2013 This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used
F. Mirzaee, Elham Hadadiyan
doaj +1 more source
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).
openaire +2 more sources
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
doaj +1 more source
A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]
, 2013 A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
On the constrained mock-Chebyshev least-squares
, 2014 The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic.
De Marchi, Stefano +2 more
core +1 more source