# Collocation

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COLLOCATION, French law. The act by which the creditors of an estate are arranged in the order in which they are to be paid according to law. The order in which the creditors-are placed, is also called collocation. Merl. Rep. h.t. Vide Marshalling Assets.

A Law Dictionary, Adapted to the Constitution and Laws of the United States. By John Bouvier. Published 1856.
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To this end, we first implement the Legendre collocation method to solve (1.1) numerically and investigate its convergence properties.
In the collocation method, the unknown vectors X and Y are obtained by imposing the condition that equation (3.5) is satisfied at a set of suitable nodal points.
The collocation scheme starts with considering the following elliptical partial differential equation defined on a bounded and connected domain [OMEGA]:
Let [X.sup.c] = {[x.sub.j]}.sup.N.sub.j=1] be a set of randomly selected points, known as "collocation" or "centers", on the domain, where [mathematical expression not reproducible] are those contained within, where [mathematical expression not reproducible] and [mathematical expression not reproducible] are those on the boundaries [[GAMMA].sub.1] and [[GAMMA].sub.2], respectively.
For indirect Trefftz formulation, the approximated solution at the boundary collocation point can be written as a linear combination of the basis functions.
Transfer and universality: Collocation use in advanced Chinese and Swedish learner English.
Another collocation extended by a vague modifier and deserving attention is the unit to impose an obligation to use reasonable endeavours, which "coupled with a clear objective [...] is capable of constituting an enforceable obligation that may not always be easy to satisfy" (5).
Next, by using the integral equations obtained in Section 2, we construct two modified piecewise polynomial collocation schemes on graded grids for finding approximations to the exact solution.
To determine the coefficients of linear combination in the solution structure, a collocation technique is used.
In recent years, some research works have been focused on the application of collocation methods for solving linear one-dimensional parabolic and hyperbolic (specially Telegraph equations) PDEs such as Chebyshev collocation method  and Bessel collocation method [13,14].
When [e.sup.(k).sub.max] > [epsilon] and if [r.sub.k] [less than or equal to] [r.sub.max], where [r.sub.max] is a user-defined parameter, the curvature is considered uniform in this mesh interval and then the number of collocation points should be increased in interval k.
(26) stimulat-ive (5 (15)) / stimulat-ory (48) / stimulat-ing (756 (16)) effect (1 common collocation)
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