Derivative-free methods are being explored recently due to the increased complexity of the models used in the optimization problems, and the impossibility/inconvenience of using derivatives in several situations. However, those methods show some limitations due to their low convergence rate, and when the problem is high-dimensional. Metaheuristics are another commonly adopted type of search tec...

In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second-order, self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multi...

We have continued the development of the Hybridized Discontinuous Galerkin(HDG) method for the solution of systems of conservation laws. The focus hasbeen on the development of robust, accurate, and efficient methods capable ofhandling complex physics in realistic geometries. In particular, we have: 1)proposed a Hybridized Multiscale Discontinuous Galerkin method (HMDG)w...

We devise and analyze a new local discontinuous Galerkin (LDG) method for the Stokes equations of incompressible fluid flow. This optimally convergent method is obtained by using an LDG method to discretize a vorticity-velocity formulation of the Stokes equations and by applying a new hybridization to the resulting discretization. One of the main features of the hybridized method is that it pro...

The chromosomes (2n = 2x = 24) of Larix principis-rupprechtii are composed of six pairs of large metacentrics and six pairs of medium-sized submetacentrics. The identification of homologous pairs is hampered by their high degree of similarity at the morphological level in each group. As one of the most extensively used methods in molecular cytogenetics producing chromosome landmarks, fluorescen...

Carbon allotropes from sp-hybridized carbon (diamond) and sp-hybridized carbon (graphite, graphene, fullerenes, nanotubes) have well-established properties, many of which are technologically relevant. A carbon allotrope constructed from sp-hybridized carbon atoms (carbyne), on the other hand, remains rare and presents a challenging synthetic goal. In recent years, we have developed methods for ...

The hybridization of models of algorithmic composition models gave birth to Hybridized Interactive Algorithmic Composition (H.I.A.C.) model. This hybridized model was derived from the existing algorithmic composition models – where their strengths were harnessed and their weaknesses transparently subdued. The hybridized model was then analyzed using Unified Modeling Language (UML) as an Object-...

Excitation of hybridized multiple resonances can be an effective route for coherent light generation in irregular 1D systems larger than the localization length of light. Necklace states are often considered to have nonlocalized states. However, we propose that some hybridized/coupled states can have high-resonant tunneling with spatially extended fields. If strong localization properties are p...