we introduce a rbfs mesheless method of lines that decomposes the interior and boundary centers to obtain the numerical solution of the time dependent pdes. then, the method is applied with an adaptive algorithm to obtain the numerical solution of one dimensional problem. we show that in the problems in which the solutions contain region with rapid variation, the adaptive rbfs methods are succe...

Abstract. Let u ∈ BV(Ω) solve the total variation denoising problem with L2-squared fidelity and data f . Caselles et al. [Multiscale Model. Simul. 6 (2008), 879–894] have shown the containment Hm−1(Ju \ Jf ) = 0 of the jump set Ju of u in that of f . Their proof unfortunately depends heavily on the co-area formula, as do many results in this area, and as such is not directly extensible to high...

This paper is concerned with the integro-diierential equations y 0 (t) = ay(t) + Z 1 0 y(qt) d(q) + Z 1 0 y 0 (qt) d(q); t 0 and y(t) + Z 1 0 y(qt) d(q) + Z 1 0 y 0 (qt) d(q) = 0; t 0; where a is a complex constant, while and are complex-valued functions of bounded variation on 0; 1]. The main motivation for the study of these two equations is that for every integers B + 1 A 0 and real constant...

We propose a new, augmented formulation of the coupled Euler-Einstein equations for perfect fluids on plane-symmetric Gowdy spacetimes. The unknowns of the augmented system are the density and velocity of the fluid and the firstand second-order spacetime derivatives of the metric. We solve the Riemann problem for the augmented system, allowing propagating discontinuities in both the fluid varia...

This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the...

Numerous deep-sea species have apparent widespread and discontinuous distributions. Many of these are important foundation species, structuring hard-bottom benthic ecosystems. Theoretically, differences in the genetic composition of their populations vary geographically and with depth. Previous studies have examined the genetic diversity of some of these taxa in a regional context, suggesting t...

We consider an ergodic stochastic control problem for a class of one-dimensional Itô processes where the available control is an added bounded variation process. The corresponding infinite horizon discounted control problem is solved in [28]. Here, we show that, as the discount factor approaches zero, the optimal strategies derived in [28] “converge” to an optimal strategy for the ergodic contr...

Explanations for the evolution of polyandry often center on the idea that females garner genetic benefits for their offspring by mating multiply. Furthermore, postcopulatory processes are thought to be fundamental to enabling polyandrous females to screen for genetic quality. Much attention has focused on the potential for polyandrous females to accrue such benefits via a sexy- or good-sperm me...

The present study examined the genetic diversity and population structure of Plasmodium falciparum in western Kenya by analyzing the polymorphism of 12 microsatellite loci and two antigen loci. Malaria in highland areas is unstable and epidemic whereas malaria in lowland areas is endemic. Transmission intensity and malaria prevalence are substantially lower in the highlands than in the lowlands...