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Animal collocation analysis 2.0: improving statistical inference and applications for cohort comparisons

Howard-Spink E, Mircheva M, Burkart JM, Townsend SW.   +3 more
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The variational collocation method

Computer Methods in Applied Mechanics and Engineering, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hector Gomez, Laura De Lorenzis
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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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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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Indirect methods of collocation: Trefftz‐Herrera collocation

Numerical Methods for Partial Differential Equations, 1999
Summary: A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, but computationally far more efficient.
Herrera, Ismael, Díaz, Martín
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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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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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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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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 E. Karniadakis
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A dual method to the collocation method

Mathematical Methods in the Applied Sciences, 1988
AbstractIn this article we consider methods which are related to the collocation method by interchanging the test and the trial spaces. Error estimates are derived. As a by‐product we obtain some extensions to the known convergence results for the collocation method.
Ruotsalainen, K., Saranen, J.
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