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Now showing items 11-20 of 39
Comparison of two methods for the computation of singular solutions in elliptic problems
(1997)
We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finite-element method in which the solution is ...
Direct methods for spectral approximations in nonconforming domain decompositions
(1998)
The application of a conforming spectral collocation method to certain nonconforming domain decompositions leads to global matrices which have a particular block structure. We study the performance of various direct linear ...
Conditioning of pseudospectral matrices for certain domain decompositions
(1999)
In this paper we examine the conditioning of the matrices resulting from certain conforming pseudospectral approximations. In particular, we consider non-conforming domain decompositions in rectangular domains and the ...
On efficient AR spectral estimation for long-range predictions
(2005)
This article discusses the concept of asymptotic efficiency from the frequency domain point of view making use of the direct method for multiple prediction. In particular, it is shown that with the use of a new autoregressive ...
A matrix decomposition RBF algorithm: Approximation of functions and their derivatives
(2007)
We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block ...
Method of Fundamental Solutions for axisymmetric elasticity problems
(2000)
We investigate the use of the Method of Fundamental Solutions (MFS) for the approximate solution of certain problems of three-dimensional elastostatics in isotropic materials. Specifically, we consider problems in which ...
The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems
(1998)
The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...
Poisson approximation for a sum of dependent indicators: An alternative approach
(2002)
The random variables X1, X2,...,Xn are said to be totally negatively dependent (TND) if and only if the random variables Xi and Σj≠i Xj are negatively quadrant dependent for all i. Our main result provides, for TND 0-1 ...
Multilevel characterizations of anisotropic function spaces
(2005)
We present a general method for extending decomposition systems of L 2(ℝd) to decomposition systems for the anisotropic Triebel-Lizorkin and Besov spaces, Fp,qα,s and Bp,qα,s, respectively, for the full range of the indexes. ...