Results 261 to 270 of about 11,667 (313)

Multivalue mixed collocation methods

Applied Mathematics and Computation, 2021
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Conte Dajana, D'Ambrosio Raffaele, D'Arienzo Maria Pia, Paternoster Beatrice   +3 more
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The collocation method

USSR Computational Mathematics and Mathematical Physics, 1968
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Kaspshitskaya, M. F., Luchka, A. Yu.
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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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Collocation methods for Poisson’s equation

Computer Methods in Applied Mechanics and Engineering, 2006
The main feature of the present paper is that the collocation method is treated as the least squares method involving integration approximation. Dirichlet, Neumann and Robin boundary value problems are considered. Based on integration approximation, the authors locate not only the collocation nodes, but they are also concerned with the error analysis ...
Hu, Hsin-Yun, Li, Zi-Cai
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Least‐squares collocation meshless method

International Journal for Numerical Methods in Engineering, 2001
AbstractA finite point method, least‐squares collocation meshless method, is proposed. Except for the collocation points which are used to construct the trial functions, a number of auxiliary points are also adopted. Unlike the direct collocation method, the equilibrium conditions are satisfied not only at the collocation points but also at the ...
Zhang, Xiong, Liu, Xiaohu, Song, Kangzu, Lu, Mingwan   +3 more
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Semi-implicit multivalue almost collocation methods

AIP Conference Proceedings, 2022
We propose a family of multivalue collocation methods for the numerical solution of differential problems, potentially candidate to be stiff. For this reason, the suggested numerical schemes have strong stability properties, such as A-stability. Moreover, in order to obtain an efficient implementation, it is desirable to impose the conditions gaining a
Dajana Conte, Raffaele D'Ambrosio, Maria Pia D'Arienzo, Beatrice Paternoster   +3 more
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Collocation methods: More efficient procedures for applying collocation

Advances in Engineering Software, 2007
In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From the general theory two broad approaches are derived, which yield the direct and the indirect TH-collocation methods.
Ismael Herrera, Robert Yates, Ernesto Rubio   +2 more
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Fractional Spectral Collocation Method

SIAM Journal on Scientific Computing, 2014
We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of interpolants, called fractional Lagrange interpolants, which satisfy the Kronecker delta property at collocation points.
Mohsen Zayernouri, George Em Karniadakis
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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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The variational collocation method

Computer Methods in Applied Mechanics and Engineering, 2016
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Hector Gomez, Laura De Lorenzis
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