Results 11 to 20 of about 422,890 (255)
SpecSolve: Spectral Methods for Spectral Measures
, 2022 Self-adjoint operators on infinite-dimensional spaces with continuous spectra are abundant but do not possess a basis of eigenfunctions. Rather, diagonalization is achieved through spectral measures. The SpecSolve package [SIAM Rev., 63(3) (2021), pp. 489--524] computes spectral measures of general (self-adjoint) differential and integral operators by ...
Matthew J. Colbrook, Andrew Horning
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Spectral method on quadrilaterals [PDF]
Mathematics of Computation, 2010 In this paper, we investigate the spectral method on quadrilaterals. We introduce an orthogonal family of functions induced by Legendre polynomials, and establish some results on the corresponding orthogonal approximation. These results play important roles in the spectral method for partial differential equations defined on quadrilaterals. As examples
Ben-yu Guo, Hong-Li Jia
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Spectral methods in the presence of discontinuities [PDF]
Journal of Computational Physics, 2019 20 pages, 18 ...
Joanna Piotrowska +2 more
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Mathematics, 2023 Applications of non-Newtonian fluids have been widespread across industries, accompanied by theoretical developments in engineering and mathematics. This paper studies a two-dimensional multi-term time fractional viscoelastic non-Newtonian fluid model by
Mohammed M. Al-Shomrani +2 more
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An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In present paper, an initial-boundary value problem is formulated in a rectangle for a higher even order partial differential equation with the Bessel operator.
Akhmadjon K. Urinov, Muzaffar S. Azizov
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A Sparse Spectral Method on Triangles [PDF]
SIAM Journal on Scientific Computing, 2019 In this paper, we demonstrate that many of the computational tools for univariate orthogonal polynomials have analogues for a family of bivariate orthogonal polynomials on the triangle, including Clenshaw's algorithm and sparse differentiation operators.
Sheehan Olver +2 more
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A SPECTRAL METHOD FOR DECONVOLVING A DENSITY [PDF]
Econometric Theory, 2010 We propose a new estimator for the density of a random variable observed with an additive measurement error. This estimator is based on the spectral decomposition of the convolution operator, which is compact for an appropriate choice of reference spaces.
Carrasco, Marine, Florens, Jean-Pierre
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the Dirichlet problem in a parallelepiped for a three-dimensional equation of mixed type with three singular coefficients. Separation of variables with Fourier series and spectral analysis are used to investigate this problem.
Akhmadjon K Urinov, Kamoliddin T Karimov
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Nonlinear consolidation model for stratified soils with vertical drains based on spectral method
Yantu gongcheng xuebao, 2021 Many soft soil foundations with vertical drains are stratified, and the permeability and compressibility of soils change nonlinearly during the consolidation process.
XU Bin-hua 1, 2, HE Ning 1, 3, ZHOU Yan-zhang 1, ZHANG Zhong-liu 1
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On the Compressive Spectral Method
Multiscale Modeling & Simulation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alan Mackey +2 more
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