A spectral collocation method for fractional chemical clock reactions
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed M. Khader +3 more
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Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
Mathematics of Computation, 2015We consider a linear full elliptic second order partial differential equation in a d d -dimensional domain,
Marco Donatelli +4 more
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The chain collocation method: A spectrally accurate calculus of forms
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dzhelil Rufat +3 more
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Nonlinear stress analysis problems by spectral collocation methods
Computer Methods in Applied Mechanics and Engineering, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CIVIDINI, ANNAMARIA, ZAMPIERI E.
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Stochastic boundary collocation and spectral methods for solving PDEs
Monte Carlo Methods and Applications, 2012We develop a stochastic boundary method (SBM) which can be considered as a randomized version of the method of fundamental solutions (MFS). We suggest solving the large system of linear equations for the weights in the expansion over the fundamental solutions by a randomized SVD method introduced by Sabelfeld and Mozartova (2011).
Karl Sabelfeld, Nadezhda Mozartova
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Least‐squares spectral collocation method for the Stokes equations
Numerical Methods for Partial Differential Equations, 2003AbstractFirst‐order system least‐squares spectral collocation methods are presented for the Stokes equations by adopting the first‐order system and modifying the least‐squares functionals in 2. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product ...
Kim, Sang Dong +2 more
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A Chebyshev Spectral Collocation Method for the Solution of the Reynolds Equation of Lubrication
Journal of Computational Physics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raad, P. E. +3 more
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Piecewise spectral collocation method for system of Volterra integral equations
Advances in Computational Mathematics, 2016This paper describes a collocation method for the numerical solution of a system of linear Volterra integral equations of the form \[ {\mathbf y}(t) = {\mathbf g}(t) + \int_0^t {\mathbf K}(t,s) {\mathbf y}(s) \,ds. \] The interval \([0,T]\) is divided into subintervals of width \(\leq h\).
Zhendong Gu
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A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems
Journal of Scientific Computing, 2007This paper deals with the Legendre spectral collocation method in a non-overlapping domain decomposition version to solve Poisson's equation in an \(L\)-shaped region. The collocation equations use Gauss-Legendre nodes instead of the more usual Gauss-Legendre-Lobatto points. The problem is decoupled into several independent steps.
Bialecki, B. +3 more
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Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index
Journal of Scientific Computing, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Can Huang, Zhimin Zhang 0002
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