The objective of the present work is to formulate a new class of discontinuous variational time integrators that allow the system to adopt two possibly different configurations at each sampling time tk , representing predictor and corrector configurations of the system. The resulting sequence of configuration pairs then represents a discontinuous—or non-classical—trajectory. Continuous or class...

The goal of this work is to derive and justify a multilevel preconditioner for symmetric discontinuous approximations of second order elliptic problems. Our approach is based on the following simple idea. The finite element space V of piece-wise polynomials of certain degree that are discontinuous on the partition T0 is projected onto the space of piece-wise constants on the same partition. Thi...

We improved the detection sensitivity of neutral and amino monosaccharides labeled with 2-aminoacridone by a factor of 19.6-48.7 and 44.4-65.9, respectively, with no deterioration in separation resolution, using a pH discontinuous solution system instead of the conventional solution system. The pH discontinuous solution system is simple, using only a borate solution at pH 6.0 as a sample soluti...

In this paper, we consider the application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. The method in this paper extends the local discontinuous Galerkin method in [10] to the more general application system which is coupled with the Allen-Cahn and Cahn-Hilliard equations. Similar energy stability result as that in [10] is presented. Numerical results for ...

Standard phrase-based statistical machine translation systems generate translations based on an inventory of continuous bilingual phrases. In this work, we extend a phrase-based decoder with the ability to make use of phrases that are discontinuous in the source part. Our dynamic programming beam search algorithm supports separate pruning of coverage hypotheses per cardinality and of lexical hy...

In this paper, we investigate the existence and uniqueness of crossing limit cycle for a planar nonlinear Liénard system which is discontinuous along a straight line (called a discontinuity line). By using the Poincaré mapping method and some analysis techniques, a criterion for the existence, uniqueness and stability of a crossing limit cycle in the discontinuous differential system is establi...

We present a novel approach to improve word alignment for statistical machine translation (SMT). Conventional word alignment methods allow discontinuous alignment, meaning that a source (or target) word links to several target (or source) words whose positions are discontinuous. However, we cannot extract phrase pairs from this kind of alignments as they break the alignment consistency constrai...

This paper presents the applications of computational intelligence techniques to economic load dispatch problems. The fuel cost equation of a thermal plant is generally expressed as continuous quadratic equation. In real situations the fuel cost equations can be discontinuous. In view of the above, both continuous and discontinuous fuel cost equations are considered in the present paper. First,...

We propose and analyze a finite element method for a semi– stationary Stokes system modeling compressible fluid flow subject to a Navier– slip boundary condition. The velocity (momentum) equation is approximated by a mixed finite element method using the lowest order Nédélec spaces of the first kind. The continuity equation is approximated by a standard piecewise constant upwind discontinuous G...