Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]
, 1999 Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an elliptic ...
Finn, Lee Samuel, Kidder, Lawrence E.
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A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains [PDF]
, 2009 In this paper, an integral collocation approach based on Chebyshev polynomials for numerically solving biharmonic equations [N. Mai-Duy, R.I. Tanner, A spectral collocation method based on integrated Chebyshev polynomials for biharmonic boundary-value ...
Mai-Duy, Nam +2 more
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Thermal Analysis of Convective-Radiative Fin with Temperature-Dependent Thermal Conductivity Using Chebychev Spectral Collocation Method [PDF]
Journal of Applied and Computational Mechanics, 2018 In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity.
George Oguntala, Raed Abd-Alhameed
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Legendre Spectral Collocation Technique for Advection Dispersion Equations Included Riesz Fractional
Fractal and Fractional, 2021 The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in dealing with these problems stems from the fact that there is no perfect answer and that tackling them using local numerical methods is tough.
Mohamed M. Al-Shomrani +1 more
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Fully Legendre spectral collocation technique for stochastic heat equations
Open Physics, 2021 For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A. +3 more
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Parareal algorithm via Chebyshev-Gauss spectral collocation method
, 2023 We present the Parareal-CG algorithm for time-dependent differential equations in this work. The algorithm is a parallel in time iteration algorithm utilizes Chebyshev-Gauss spectral collocation method for fine propagator F and backward Euler method for coarse propagator G.
Zhou, Quan, Liu, Yicheng, Wu, Shu-Lin
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On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme
, 2013 The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian +2 more
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Numerical approach for high precision 3-D relativistic star models [PDF]
, 1998 A multi-domain spectral method for computing very high precision 3-D stellar models is presented. The boundary of each domain is chosen in order to coincide with a physical discontinuity (e.g. the star's surface).
C. Canuto +31 more
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On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]
SIAM Journal on Scientific Computing, 2016 17 pages, 8 ...
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European Journal of Personality, EarlyView., 2020 Abstract Divergent thinking (DT) is an important constituent of creativity that captures aspects of fluency and originality. The literature lacks multivariate studies that report relationships between DT and its aspects with relevant covariates, such as cognitive abilities, personality traits (e.g. openness), and insight. In two multivariate studies (N
S. Weiss +6 more
wiley +1 more source