In this paper, we study a mesh-free method using the Galerkin method with radial basis functions (RBFs) for the exterior Neumann problem of the Laplacian with boundary condition on an oblate spheroid. This problem is reformulated as a pseudo-differential equation on the spheroid by using the Dirichlet-to-Neumann map. We show convergence of the Galerkin scheme. Our approach is particularly suita...

Blind separation of sources from nonlinear mixtures is a challenging and often ill-posed problem. We present three methods for solving this problem: an improved nonlinear factor analysis (NFA) method using a multilayer perceptron (MLP) network to model the nonlinearity, a hierarchical NFA (HNFA) method suitable for larger problems and a post-nonlinear NFA (PNFA) method for more restricted post-...

The most important analytic method for handling equidistribution questions about rational points on algebraic varieties is undoubtedly the HardyLittlewood circle method. There are a number of good texts available on the circle method, but the reader may particularly wish to study the books by Davenport [4] and Vaughan [11]. In this lecture we shall consider an irreducible form F (X1, . . . , Xn...

BACKGROUND Large efforts have recently been made to automate the sample preparation protocols for massively parallel sequencing in order to match the increasing instrument throughput. Still, the size selection through agarose gel electrophoresis separation is a labor-intensive bottleneck of these protocols. METHODOLOGY/PRINCIPAL FINDINGS In this study a method for automatic library preparatio...

Abstract—In a previously developed fast vortex method, the diffusion of the vortex sheet induced at the solid wall by the no-slip boundary conditions was modeled according to the approximation solution of Koumoutsakos and converted into discrete blobs in the vicinity of the wall. This scheme had been successfully applied to a simulation of the flow induced with an impulsively initiated circular...

Finite sample properties of multiple imputation estimators under the linear regression model are studied. The exact bias of the multiple imputation variance estimator is presented. A method of reducing the bias is presented and simulation is used to make comparisons. We also show that the suggested method can be used for a general class of linear estimators. 1. Introduction. Multiple imputation...

Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geometry. In this work we present a fast and accurate framework for simulating spheroids in periodic Stokes flow, which is based on the completed double layer boundary integral formulation. The framework implements a new m...