We prove stability and derive error estimates for the recently introduced central discontinuous Galerkin method, in the context of linear hyperbolic equations with possibly discontinuous solutions. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitat...

Three discontinuous operating modes of PWM converters are considered in this paper-the discontinuous inductor current mode (DICM), the discontinuous capacitor voltage mode (DCVM) and a previously unidentified mode named discontinuous quasi-resonant mode (DQRM). DC and smallsignal ac analyses are applicable to all basic PWM converter topologies. Any particular topology is taken into account via ...

Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines the advantages of discontinuous Galerkin methods with the data structure of their continuous Galerkin counterparts. The new method uses local, element-wise problems to project a continuous finite element space ...

In the absolutely continuous case, order statistics, record values and several other models of ordered random variables can be viewed as special cases of generalized order statistics, which enables a unified treatment of their theory. This paper deals with discontinuous generalized order statistics, continuing on the recent work of Tran (2006). Specifically, we show that in general neither re...

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...

BACKGROUND The purpose of this study was to compare the ultrastructural appearance and protein expression of the zygomaticotemporal branch of the trigeminal nerve in patients with and without migraine headaches. METHODS After confirmation of migraine headache diagnosis on 15 patients, a 5-mm segment of the zygomaticotemporal branch of the trigeminal nerve that is routinely removed during migr...