Results 1 to 10 of about 47,396,763 (332)
Applied Sciences, 2021 It is well known that temperature is a factor that significantly influences the accuracy of machine tools. Compensation enables machine errors to be reduced, even for a moderately accurate machine tool.
Vladimir Alexandrovich Koval’ +2 more
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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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Fourier-Spectral Method for the Phase-Field Equations
Mathematics, 2020 In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field crystal (PFC), and molecular beam epitaxy (MBE) growth.
Sungha Yoon +6 more
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Spectral Method for Phase Retrieval: An Expectation Propagation Perspective [PDF]
IEEE Transactions on Information Theory, 2019 Phase retrieval refers to the problem of recovering a signal $ {x}_{\star }\in \mathbb {C}^{n}$ from its phaseless measurements $\text {y}_{\text {i}}=| {a}_{i}^{ \mathsf {H}} {x}_{\star }|$ , where $\{ {a}_{\text {i}}\}_{\text {i}=1}^{ {m}}$ are ...
Junjie Ma +4 more
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Computer Sciences & Mathematics Forum, 2023 The three-dimensional problem of the modelling of elastic wave propagation in a multi-layered acoustic metamaterial, a periodic elastic composite with periodic arrays of interface cracks or planar voids of arbitrary shape, is considered.
Mikhail V. Golub +4 more
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Fractal and Fractional, 2023 Approximate solutions for a family of nonlinear fractional-order differential equations are introduced in this work. The fractional-order operator of the derivative are provided in the Caputo sense.
Adel Abd Elaziz El-Sayed +2 more
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A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2019 We introduce a fast Fourier spectral method for the multi-species Boltzmann collision operator. The method retains the advantages of the single-species fast spectral method Gamba et al.
S. Jaiswal +2 more
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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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Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation
Fractal and Fractional, 2022 In this paper, a (4+1)-dimensional nonlinear integrable Fokas equation is studied. It is rarely studied because the order of the highest-order derivative term of this equation is higher than the common generalized (4+1)-dimensional Fokas equation ...
Chang-Na Lu, Cun-Juan Hou, Ning Zhang
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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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