Abstract. The present paper introduces bilinear forms that are equivalent to the recovery-based discontinuous Galerkin formulation introduced by Van Leer in 2005. The recovery method approximates the solution of the diffusion equation in a discontinuous function space, while inter-element coupling is achieved by a local L2 projection that recovers a smooth continuous function underlying the dis...

In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm. The main idea is to use a Discontinuous Galerkin like formulation to compute a discontinuous coarse space correction. While the local spaces remain continuous, the coarse space sho...

The drive-response synchronization of delayed neural networks with discontinuous activation functions is investigated via adaptive control.The synchronization of this paper means that the synchronization error approaches to zero for almost all time as time goes to infinity. The discontinuous activation functions are assumed to be monotone increasing which can be unbounded. Due to the mild condi...

splenogonadal fusion is a rare entity with approximately 150 reported cases until the year 2005. the entity is a rare congenital anomaly in which there is fusion of splenic and gonadal anlagen or mesonephric derivatives. splenogonadal fusion has two continuous and discontinuous types. about ten cases have been reported to be associated with bilateral cryptorchidism in literature. very few cases...

This study examines when ‘incremental’ change is likely to trigger ‘discontinuous’ change, using the lens of complex adaptive systems theory. Going beyond the simulations and case studies through which complex adaptive systems have been approached so far, we study the relationship between incremental organizational reconfigurations and discontinuous organizational restructurings using a large-s...

this paper shows how multifractal analysis can be used to characterize the spatial distribution of epicenters in the zagros and alborz-kopeh dagh regions of iran. the main multifractal characteristics, dq, f(αq), τq, αq and a set of multifractal parameters defined from the shape of the f(αq)-spectrum including the width of f(αq)-spectrum, nonuniformity factor, combined parameter, coefficients o...

A batch process is a discontinuous and concurrent process which is suitable for multi-product, small-sized production. The distinctive feature of a batch process is that various decision making processes, such as scheduling, design, operation, etc. are strongly connected with each other. Interaction among these processes is necessary to dynamically and flexibly cope with a variety of unplanned ...

We prove a general version of the super-replication theorem, which applies to Kabanov’s model of foreign exchange markets under proportional transaction costs. The market is described by a matrix-valued càdlàg bid-ask process (Πt)t∈[0,T ] evolving in continuous time. We propose a new definition of admissible portfolio processes as predictable (not necessarily right or left continuous) processes...

Percolation is one of the most studied processes in statistical physics. A recent paper by Achlioptas [Science 323, 1453 (2009)] showed that the percolation transition, which is usually continuous, becomes discontinuous ("explosive") if links are added to the system according to special cooperative rules (Achlioptas processes). In this paper, we present a detailed numerical analysis of Achliopt...