Results 251 to 260 of about 11,602,301 (296)

C0 — Collocation — Galerkin methods

1979
A C0-Collocation-Galerkin (C0-C-G) method is formulated and analyzed for finite element solution of linear and nonlinear singular boundary-value problems. Theoretical error estimates are ascertained for both the linear problems and a specific class of nonlinear problems.
Graham F. Carey, Mary F. Wheeler
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Generalized Collocation Methods

2008
This book has been proposed to offer engineers and scientists various mathematical tools, based on generalized collocation methods, to solve nonlinear problems related to partial differential and integro-differential equations.
BELLOMO, Nicola, LODS B, REVELLI, Roberto, RIDOLFI, LUCA   +3 more
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Galerkin and Collocation Methods

2018
One method to numerically solve an equation consists in expanding the solution in terms of a set of known basis functions. These are the so-called “spectral” methods, where the main emphasis is placed on establishing procedures to obtain the expansion coefficients.
George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto   +2 more
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Atom collocation method

Computer Methods in Applied Mechanics and Engineering, 2012
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Yang, Qingcheng, Biyikli, Emre, Zhang, Pu, Tian, Rong, To, Albert C.   +4 more
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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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Collocation methods for impulsive differential equations

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhua Zhang, Hui Liang 0001
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Collocation Methods for Integro-Differential Equations

SIAM Journal on Numerical Analysis, 1977
In this note we extend the work of de Boor and Swartz (SIAM J. Numer. Anal., 10 (1973), pp. 582-606) on the solution of two-point boundary value problems by collocation. In particular, we are concerned with boundary value problems described by integro-differential equations involving derivatives of order up to and including m with m boundary conditions.
Hangelbroek, Rutger J., Kaper, Hans G., Leaf, Gary K.   +2 more
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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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An extended collocation method

Calcolo, 1980
Given an approximate solutionxn of a linear operator equation obtained by a collocation method, an improved solutionx*n+m is obtained fromxn by an «extended collocation method» which consists in solving a further (m)-order linear system instead of an (n+m)-order one, diminishing the effects of rounding error in carrying out the calculations.
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On upwind collocation methods

Communications in Applied Numerical Methods, 1985
AbstractThe upwind collocation method is analysed in a way which clearly demonstrates its similarities to other upwind schemes. The dispersion detected by Dougherty and Pinder5 is shown to be of little significance to the quality of the approximation.
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