Results 281 to 290 of about 5,960 (305)

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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A point collocation method based on reproducing kernel approximations

International Journal for Numerical Methods in Engineering, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Modelling dissipative silencers using point collocation

2008
Dissipative silencers are widely used in ducts to attenuate broad band noise. Silencers may assume many different shapes and sizes, ranging from a relatively compact automotive exhaust silencer, to a much larger HVAC splitter silencer. To accommodate such a wide range of silencer geometries it is convenient to use numerical methods such as the finite ...
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One dimensional collocation at Gaussian points and superconvergence at interior nodal points

2011
Here we extend and complete the results that M. Bakker [1] recently proved about a special kind of superconvergence of the method of Collocation at Gaussian points: the superconvergence at interior nodal points. We will prove that under the smoothness assumptions made by De Boor and Swartz in [2] there exist particular points inside each segment of the
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Optimal-order isogeometric collocation at Galerkin superconvergent points

Computer Methods in Applied Mechanics and Engineering, 2017
Giancarlo Sangalli, Lorenzo Tamellini
exaly  

Collocation Solution for Point-Supported Square Plates

Journal of Applied Mechanics, 1978
Rajaiah, K, Rao, AK
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A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points

SIAM Journal of Scientific Computing, 2006
Lloyd N Trefethen
exaly