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In this paper, we suggest a new type of three step iterative scheme called the CR iterative scheme and study the strong convergence of this iterative scheme for a certain class of quasi-contractive op...
The molecule solution of an extended discrete Lotka-Volterra equation is constructed, from which a new sequence transformation is proposed. A convergence acceleration algorithm for implementing this...
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional density function from a set of two dimensional electron microscopy images. By minimizing an energy fun...
In this paper, we present a novel L2-gradient flow based semi-implicit finite element method for solving a variational model of image reconstruction under various data scenarios, especially for the ...
We consider the convergence theory of local multigrid methods for H1()-elliptic and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest order conforming fin...
We propose a condition under which the heterogeneous multiscale 痭ite element method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal convergence rate for elliptic prob...
We propose a discrete approximation of the Gaussian curvature over quadrilateral meshes using a linear combination of two angle de痗its. Suppose a surface mesh is obtained from a sampling of a smooth...
We present and analyze a multigrid algorithm for the acoustic single layer equation in two dimensions. The boundary element formulation of the equation is based on piecewise constant test functions an...
Stochastic two-stage linear optimization is an important and widely used optimization model. Efficiency of numerical integration of the second stage value function is critical. However, the second sta...
Abstract: This work is concerned with the formulation of a general framework for the analysis of meshfree approximation schemes and with the convergence analysis of the Local Maximum-Entropy (LME) sch...
Abstract: The Iterative Rational Krylov Algorithm (IRKA) of [8] is an interpolatory model reduction approach to the optimal $\mathcal{H}_2$ approximation problem. Even though the method has been illus...
Abstract: This paper presents adaptive boundary element methods for positive, negative, as well as zero order operator equations, together with proofs that they converge at certain rates. The converge...
For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of...
Let X1, . . . ,XN ∈ Rn be independent centered random vectors with log-concave distribution and with the identity as covariance matrix.

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