Results 261 to 270 of about 1,769 (302)

Spectral collocation methods for polymer brushes

The Journal of Chemical Physics, 2011
We provide an in-depth study of pseudo-spectral numerical methods associated with modeling the self-assembly of molten mixed polymer brushes in the framework of self-consistent field theory (SCFT). SCFT of molten polymer brushes has proved numerically challenging in the past because of sharp features that arise in the self-consistent pressure field at ...
Tanya L, Chantawansri, Su-Mi, Hur, Carlos J, García-Cervera, Hector D, Ceniceros, Glenn H, Fredrickson   +4 more
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A spectral collocation method for fractional chemical clock reactions

Computational and Applied Mathematics, 2020
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Mohamed M. Khader, Khaled M. Saad, Dumitru Baleanu, Sunil Kumar   +3 more
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The chain collocation method: A spectrally accurate calculus of forms

Journal of Computational Physics, 2014
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Dzhelil Rufat, Gemma Mason, Patrick Mullen, Mathieu Desbrun   +3 more
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Stochastic boundary collocation and spectral methods for solving PDEs

Monte Carlo Methods and Applications, 2012
We 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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Superconvergence of a Chebyshev Spectral Collocation Method

Journal of Scientific Computing, 2007
A Chebyshev spectral collocation method is derived for approximating the solution of the second-order two point differential boundary value problems in terms of Chebyshev polynomials \[ u_p= \sum^p_1 a_m\psi_m(x),\quad\psi_m(x)= \int^x_{-1} T_{m-1}(t)\,dt,\;m\geq 1. \] Superconvergence of the derivatives \(u_p'\) at zero's of \(T_m(x)\) is proved.
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Least‐squares spectral collocation method for the Stokes equations

Numerical Methods for Partial Differential Equations, 2003
AbstractFirst‐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, Lee, Hyung-Chun, Shin, Byeong Chun   +2 more
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A Chebyshev Spectral Collocation Method for the Solution of the Reynolds Equation of Lubrication

Journal of Computational Physics, 1993
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Raad, P. E., Karageorghis, Andreas, Raad, P. E., Karageorghis, Andreas   +3 more
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A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems

Journal of Scientific Computing, 2007
This 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., Karageorghis, Andreas, Bialecki, B., Karageorghis, Andreas   +3 more
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Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index

Journal of Scientific Computing, 2013
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Can Huang, Zhimin Zhang 0002
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Spectral collocation methods and polar coordinate singularities

Journal of Computational Physics, 1990
The paper considers the spectral collocation method for the solution of elliptic differential equations on the unit disk. Difficulties arise here since the polar coordinates behave singular at the origin and hence, some of the trial functions are not in the differential operator's domain of definition in the classical sense.
Eisen, Henner, Heinrichs, Wilhelm, Witsch, Kristian   +2 more
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