نتایج جستجو برای Collocation

تعداد نتایج: 3526  

Journal: :Advances in Engineering Software 2012
T. V. Hromadka, D. Zillmer,

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In both the real variable and Complex Variable Boundary Element Methods (CVBEM), nodal points are typically ...

Journal: :SIAM J. Scientific Computing 2005
Dongbin Xiu, Jan S. Hesthaven,

Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differential equations with random inputs. To this end, stochastic Galerkin methods appear to be superior to other nonsampling methods and, in many cases, to several sampling methods. However, when the governing equations take complicated forms, numerical implementations of stochastic ...

Journal: :SIAM J. Scientific Computing 1992
Michel O. Deville, Ernest H. Mund,

This p_per investigates the spectrum of the iteration operator of some finite element preconditioned Fourier collocation schemes_ The first part of the paper analyses one-dimensional elliptic and hyperbolic model problems and the advection-diffusion equation. Analytical expressions of the eigenvalues are obtained with use of symbolic computation. The second part of the paper considers the set o...

Journal: :SIAM J. Numerical Analysis 2007
Peter Giesl, Holger Wendland,

In this paper, we derive error estimates for generalized interpolation, in particular collocation, in Sobolev spaces. We employ our estimates to collocation problems using radial basis functions and extend and improve previously known results for elliptic problems. Finally, we use meshless collocation to approximate Lyapunov functions for dynamical systems.

1995
Ernest E. Rothman,

This work deals with the H1 condition numbers and the distribution of the ~ N;Msingular values of the preconditioned operators f~ 1 N;M WN;M ÂN;Mg. ÂN;M is the matrix representation of the Legendre Spectral Collocation discretization of the elliptic operator A de ned by Au := u + a1ux + a2uy + a0u in (the unit square) with boundary conditions: u = 0 on 0; @u @ A = u on 1. ~ N;M is the sti ness ...

2016
Maha Youssef, Gerd Baumann,

Abstract An efficient direct domain decomposition method is developed coupled with Poly-Sinc approximation over complex geometry. We solve 2D Poisson equations in L-Shaped geometry. The spatial domains of interest are decomposed into several non-overlapping rectangular subdomains. In each sub-domain, a Poly-Sinc collocation scheme is used to approximate the solution of the governing equation. S...

2002
M. C. Curran, M. B. Allen,

We examine algorithmic aspects of M. Celia's alternating-direction scheme for finite-element collocation, especially as implemented for the two-dimensional advection-diffusion equation governing solute transport in groundwater. Collocation offers savings over other finite-element techniques by obviating the numerical quadrature and global matrix assembly procedures ordinarily needed in Galerkin...

1994
Yajun Yang,

We propose a discrete collocation method for the boundary integral equations which arise from solving Laplace's equation u = 0. The Laplace's equation is deened on connected regions D in R 3 with a smooth boundary S. The piecewise polynomial interpolation in the parametrization variables along with the collocation method is used, and a numerical integration scheme for collocation integrals is g...

Journal: :IJCLCLP 2003
Chien-Cheng Wu, Jason S. Chang,

In this paper, we describe an algorithm that employs syntactic and statistical analysis to extract bilingual collocations from a parallel corpus. The preferred syntactic patterns are obtained from idioms and collocations in a machine-readable dictionary. Phrases matching the patterns are extract from aligned sentences in a parallel corpus. Those phrases are subsequently matched up via cross-lin...

2015
Tarek A. Elgohary, John L. Junkins, Satya N. Atluri,

Several analytical and numerical methods exist to solve the orbit propagation of the two-body problem. Analytic solutions are mainly implemented for the unperturbed/classical two-body problem. Numerical methods can handle both the unperturbed and the perturbed two-body problem. The literature is rich with numerical methods addressing orbit propagation problems such as, Gauss-Jackson, Higher ord...

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