Results 271 to 280 of about 5,852 (300)

Errors in Iteration Points in Oscillatory State for Chebyshev Collocation Points

1999
When the Chebyshev collocation point is calculated by Newton’s iteration process, the round-off errors of iteration points are difficult to analyze. The equation which determines the unknown round-off error is obtained for the iteration point under the condition that the iteration point is stationary.
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Boundary element modeling with variable nodal and collocation point locations

Advances in Engineering Software, 2012
In both the real variable and Complex Variable Boundary Element Methods (CVBEM), nodal points are typically located on the problem boundary and then various techniques are used to fit boundary condition values at the nodal point locations such as collocation (equating approximation function to boundary condition values at a discrete set of locations on
T. V. Hromadka II, Devon Zillmer
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Collocation Methods for General Caputo Two-Point Boundary Value Problems

Journal of Scientific Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Liang 0001, Martin Stynes
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A new aspect for choosing collocation points for solving biharmonic equations

Applied Mathematics and Computation, 2006
The author examines the question of the choice of collocation points for boundary-element methods for the biharmonic equation. He shows that it is possible to choose points in the singular element, so as to minimize the condition number of the corresponding matrix.
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Collocation by the Spline in Tension at Generalized Gaussian Points

1996
Summary: We consider the numerical solution for a singularly perturbed two-point boundary value problem: \(\varepsilon y''+cy=f\). To approximate the solution we have used a spline in tension with the continuous first derivative, determined by the collocation at the collocation points which are the generalization of the classical Gaussian points. The B-
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Asymptotic Accuracy and Convergence for Point Collocation Methods

1985
Here we continue the asymptotic error analysis of Wendland [118] where we have considered mainly the Galerkin methods. In most of the computer programs, however, the point collocation has been implemented as one of the weighted residual techniques for boundary element methods.
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One-point pseudospectral collocation for the one-dimensional Bratu equation

Applied Mathematics and Computation, 2011
The approximate solution of the well-known Bratu problem \[ u_{xx}+\lambda \exp (u) =0, \quad u(\pm 1)=0, \] is revisited. As the first main result, it is shown that over the entire lower branch, and most of the upper branch, the solution is well approximated by a parabola, \(u(x)\approx u_0 (1-x^2)\), where \(u_0\) is determined by collocation at a ...
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On extremal point collocation method for fluid flow problems

Applied Scientific Research, 1962
Using Tchebyscheff’s norm a numerical method called “Extremal point collocation method” has been developed for fluid flow problems. The method has been applied to the following problems: 1) flow near a stagnation point; 2) flow near a rotating disk. It has been found that this method gives better results than other approximate methods.
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The radial point interpolation mixed collocation method for the solution of transient diffusion problems

Engineering Analysis With Boundary Elements, 2020
Konstantinos A Mountris, Esther Pueyo
exaly  

1210 Accuracy Improvement of Collocation Method by Using the Over-Rang Collocation Points

The Proceedings of The Computational Mechanics Conference, 2013
Yong-Ming GUO, Kei OOBUCHI, Genki YAGAWA, Shunpei KAMITANI   +3 more
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